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Mathematics Questions and Answers March 29, 2023

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1. QUESTION 1 A real estate agency is interested in determining the number of houses that will be sold in a given quarter. The management of the agency believes that a relationship can be found between the number of houses sold (Y), the listed price (X1) and the current interest rates (X2). Their past experience shows that they tend to have better

Given that x has a Poisson distribution with u = 1.3, what is the probability that x= 5? P(5) =

W7.5: Portfolio Project Reflection Deadline: Due by the end of week 7.5 at 11:59pm, ET. Directions: Now that you have completed your Portfolio Project, you will reflect upon the project and how it directly relates to the Bryant &StrattonWorkplace Capabilities. This reflection will be delivered orally in the format of aPowerPoint. This is a

Q4. Histogram ( 5 marks)( 10 marks) Use Excel to construct a grouped frequency distribution from the following set. Create a histogram to represent the number of customers visited by a salesman over a 80 week-period (use 5 classes).

A research hypothesis is that the variance of stopping distance of automobiles on wet pavement is substantially greater than the variance of stopping distances of atomobiles on dry pavement.In the research study, 16 automobiles traveling at the same speeds are tested for stopping distance on wet pavement and then tested fir stopping distances on

I have the answer to this as being "equal to $110,000. Is that correct A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is: not equal to $110,000 equal to $110,000 less than to $110,000 greater than to $110,000

For large random samples, when we look at sample means or proportions, what happens to the width of a confidence interval when the confidence level is increased from 68% to 95% (holding all else constant)? Explain briefly.

I need help with these four questions and explain how arrived at each answer 1) You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. A random

Need help with this question please, thanks and much appreciated! [1 pt} Ifa hail is thrown straight up int:- ii-te air with an initial iieieeihr Elf 1m] itie. its height in feet after 1' eeeentie is given by y = lt' 151:2. [aj Find the avenge velocity {using 3 deci ma] places if neeasary] fer Ute time period beginning IMitten f = 2 and lasting
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2 - Week 3 Q-1. In a cohort study of the relationship between exogenous estrogen and the subsequent risk of breast cancer (BC), 1000 premenopausal women were followed for 10 years. 500 of these women took estrogen and 500 did not. At the end of the 10 years, 300 of those taking estrogen had developed BC compared with 100 of those who were not

Where people turn for news is different for various age groups. A study indicated where different age groups primarily get their news. The results are in the table below. At the 0.05 level ofsignificance, is there evidence of a significant relationship between the age group and where people primarily get theirnews? Ifso, explain the relationship

A control chart for fraction nonconforming indicates that the current process average is 0.03. The sample size is constant at 200 units. a) Find the three-sigma control limits for the control chart. b) What is the probability that a shift in the process average to 0.08 will be detected on the first subsequent sample? What is the probability that

It is believed that GPA(grade pointaverage, based on a four pointscale) should have a positive linear relationship with ACT scores. Given below is the technology output for predicting GPA using ACT scores based a data set of 8 randomly chosen students from a university. \f
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What is the central concern of a critical researcher? A.A critique of self B.A critique of existing theories C.A critique of the research methods of a completed study D.A critique of society and social practices

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a students alarm clock has a 15.5% daily failure rate. Complete the parts (a) through (d) below: a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? ( round to

Beyond the Numbers 1.36 (Both Exhibits) Use StatKey to find the correlations in both Question 2s.For each correlation, copy a screenshot into your answer.If you want to crop the screenshot, thats fine just make sure you include the Summary Statistics table.Thats where the correlation is, so its really the only part of the screenshot you need.

tit! intervals after an eruption (to the next eruption) of a certain geyser. Find the regression equatlon, letting the rst variable be the independent (it) variable. Find mirrent emption has a height of 70 feet. Use a signicance level of 0.05. law the critical values of the Pearson correlation coefcient r. AM elds and then click Check
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The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are: 78 99 68 91 95 75 85 The range of these temperatures is: The variance of these temperatures, rounded to three decimals, is: The standard deviation, rounded to three decimals, of these temperatures is:

Dr. Moribus, a Kent University professor, wants to determine if his students are learning better. He obtains 50 final exam grade. What the df (degrees of freedom)? A. 50 B. 51 C. 49 D. 48

1.(8points) The following table gives information on the CPI and the yearly salaryof Simone Smith: Year Consumer Price Index (2002=100) Simone Smiths Yearly Salary 2002 100.0 $30,000 2006 109.1 $32,250 2010 116.5 $36,000 2013 122.8 $40,500 (a) What is the purchasing power of the dollar for 2013 based on the period2002? (b)Determine Simone Smith's

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.4 inches and a standard deviation of 2.0 iNCHES. A study participant is randomly selected. 1. Find the probability that a study participant has a height that is less than 68 inches.

14. A large national company is considering negotiating cellular phone rates for its employees. The Human Resource department would like to estimate the proportion of its employee population who own an Apple iPhone. A random sample of size 250 is taken and 40% of the sample own and iPhone.. The 95% confidence interval to estimate the population

Question 12 Which of the following statements about the sampling distribution of the sample mean X is not correct? (a) The mean of the sampling distribution of X is always equal to the population mean. (b) To create the sampling distribution of the sample mean X , we dont need to take random samples of size n. We just need to take large samples.

1 Relative minimum Arm,.(a) Find the'inflection points'of the curve." (b) Find the intervals Where the function is concave up & concave down ) Identify the critical numbers Find the intervals where the function, f(x), is increasing or decreasing

The following data are the grades of students on a statistics test. 94, 78, 88, 73, 90, 56, 69, 62, 70, 71, 57, 55, 74, 58, 72, 58 Send data to Excel Using the tool provided, construct a box-and-whisker plot for the data. Quick Help How do I draw a box-and-whisker plot?

1.) Describe the hydrologic cycle using the terms evaporation, precipitation, infiltration, transpiration, and condensation.

A drug company produces capsules that are designed to contain a specied amount of the active ingredient of a drug. Each hour, a sample of 16 capsules is selected at random and the average amount of the active ingredient is determined. When the production process is in control, the mean amount of the active ingredient in the capsules is p= 150
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Suppose in the spreadsheet shown below we want to highlight the year number for each year during which sales were at least 5% higher than the previous year. We would begin by selecting the cell range D6:D12 and choose Conditional Formatting from the Ribbon. Then you would select new rules followed by the Use a Formula option. Finally you would
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The number of candy pieces in a bag is calculated for a sample of 40 bags of a particular manufacture. Based on this data, the sample mean is 20.35 pieces. The population standard deviation is to be 3.6 (remember this is the unrealistic part, we would not really know this). Which below is a 95% confidence interval for the mean number of pieces of

IQ scores are measured with a test designed so that the mean is 105105 and the standard deviation is 1919 . Consider the group of IQ scores that are unusual. What are the z scores that separate the unusual IQ scores from those that are usual? What are the IQ scores that separate the unusual IQ scores from those that are usual? (Consider a value to

For a sample of sizen, the cumulative area for the ith smallest value corresponds to a cumulative area of i/n+1 For a sample of n equals = 1 6 , list the Z values that correspond to the 6 smallest values. Use ascending order and round to two decimal places as needed.

1) In your own words, explain the standard normal distribution and find something where the normal distribution applies. 2) Let's say we have a normal distribution with a mean of 32 and a standard deviation of 10. Using the day of the month to fill in the blank, find the following 3 probabilitiesand provide a short explanation of your answer. a)

Consider a hypothesis test under the conditions given below.H 0 : 55,H 1 : < 55, = .05, n = 49, is unknown. If the value of your test statistic is 1.82, you should 1.conclude your test statistic is wrong 2.reject the null hypothesis 3.not reject the null hypothesis 4.can't make a decision 2 points QUESTION 2 Determine the critical value that would

The following table gives the cumulative frequency distribution of the commuting time (in minutes) from home to work for a sample of 400 persons selected from a city. Time (minutes) f 0 to less than 10 66 0 to less than 20 156 0 to less than 30 217 0 to less than 40 291 0 to less than 50 344 0 to less than 60 400 The sample size is: The percentage

Standard deviation question: Studies show an XBox controller has an average lifetime of 1,500 days.Assume the lifetimes are normally distributed with a standard deviation of 325 days. A: Find the percentage of controllers that will fail during their first 895 days of use. B: Find the percentage of controllers that will fail within 225 days of

Customers arrive at a local ATM at an average rate of 17 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 7 minutes? b) What is the

Data were collected from CEOs in the consumer products industry and the CEOs in the telecommunication industry. The data were analyzed using a software package in order to compare mean salaries of CEOs in the two industries. HYPOTHESIS: MEAN X = MEAN Y SAMPLES SELECTED FROM SALARY X = Consumer Products Y = Telecommunications SAMPLE MEAN OF X =

1. Suppose we throw a dart at a square target 1 meter on a side, which has a bullseye in the center of radius 0.1 meters. Assume the dart lands with equal probability anywhere inside the square target. Give the probabilities of the following events: (a) The dart lands in the bullseye; (b) The dart lands within 0.1 meter of an edge of the square

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When trying to determine probabilities, one must first assess whether the variable would have a normal distribution. Using the tools from this course, what are some methods that could be used to determine whether a variable has a normal distribution?

A group consists of 6 men and 5 women. Five Five people are selected to attend a conference. In how many ways can 5 5 people be selected from this group of11? In how many ways can 5 5 men be selected from the 6men? Find the probability that the selected group will consist of all men

What are social determinants of health? How do social determinants of health contribute to the development of illness? What is a communicable disease chain? Are there steps that a nurse can take to break a link within the communicable disease chain? Give a specific example.

Q15, chapter 6, page 274 ,Introduction tp probability. Please solve this question: Let W = X 2 +Y 2 , with X, Y ( i.i.d.) and N(0, 1). The MGF of X 2 turns out to be (12t) 1/2 for t < 1/2 (you can assume this). (a) Find the MGF of W. (b) What famous distribution that we have studied so far does W follow (be sure to state the parameters in addition

A student takes a 20 question, multiple choice exam with five choices for each question. Find the probability of making at least 15 questions correct, if student guesses on each question.

The average gasoline price of one of the major oil companies has been $3.00 per gallon. Because of cost reductions measures, it is believed that there has been a significant reduction in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the

Gregor Mendel has been called the father of genetics, having formulated laws of inheritance even before the function of DNA was discovered.In one famous experiment with peas,he crossed pure breeds of tall and dwarf pea plants.The first-generation pea plants were all tall.In the second generation(F2),he obtained 787 tall plants and 277 dwarf

Which symbol in the regression formula represents the Y-intercept? A.X B.Y C.a D.b

A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 16 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.4 ounce. A random sample of 16 boxes yielded a sample mean weight of 15.84 ounces. Test at the 10% significance level the null hypothesis that the population mean

You plan to conduct a survey on your college campus to learn about the political awareness of students. You want to estimate the true proportion of college students on your campus who voted in the 2016 presidential election with 95% confidence and a margin of error no greater than 3.9 percent. How many students must you interview?

give an example for which ANOVA would be appropriate to use over a t-test

Hello i have a question that needs to be answered as soon as possible thank you. i have attached an file for the question.Thank you! Perfenn The indicated calculation. 933 11C3 C 9 3 C = D [Round to the neareet theueandth as needed.) 11 3
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Math 115 - Team Homework Assignment #8, Winter 2017 Due Date: Apr 17-18. (Your instructor will tell you the exact date and time.) This assignment covers material from Chapters 5 and 6 of the course textbook, which is the 6th edition of Calculus: Single Variable by Hughes-Hallett, Gleason, McCallum, et al.. Make sure to understand the material in

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly

You are given the following, s = 18.6, x = 66 and n = 35. Construct a 90% confidence interval. The resulting interval is.... DONT USE EXCEL BUT SHOW WORK

A national chain of clothing goods stores recently sent shipments to the following stores. The number of items shipped to each store and their total wholesale cost is shown in the table below. Find the wholesale price of one of each item. Jeans Jackets Sweaters Shirts Total Cost Store A 4000 4000 2100 4300 595,5757 Store B 3700 3500 2000 4400

identify which sampling method should be utilized by the researcher. Use the following system: A. simple random sampling B. systematic random sampling C. cluster sampling D. stratified sampling E. random digit dialing F. multistage sampling Question : In a survey of Athens county voters, a researcher divides her sampling frame into age brackets

The histogram below shows the underlying distribution pattern of the results of a rolled die. Suppose the die is rolled 50 times and the results are averaged. Suppose this process - rolling 50 dice and averaging their results - is repeated 100 times. Which of the following best describes the distribution of these 100 averages? Select one: a.
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Brand Anchor Steam Anheuser Busch Natural Ice Anheuser Busch Natural Light Bud Dry Bud Ice Bud Ice Light Bud Light Bud Light Lime Budweiser Budweiser Select Budweiser Select 55 Busch Beer Busch Ice Busch Light Carling Black Label Colt 45 Malt Liquor Coors Coors Extra Gold Lager Coors Light Hamm's Beer Hamm's Golden Draf Hamm's Special Light

3) In response to a campaign by the Herald to increase circulation, the sales department of the Herald has decided to call families who have recently moved into the area to see if they would subscribe to the Herald . Assume that 40 percent of all families moving into the area have previously subscribed to a newspaper and that the probability that

Handout assignment VIII 1. A bank that offers charge cards to customers studies the yearly purchase amount (in thousands of dollars) on the card as related to the age, income (in thousands of dollars), whether the and years of education of the cardholder. The other variables are self-explanatory. The original data set has information on 160

A professor asked students to report how many hours per week they had spent studying or working for that class during the semester. Then, the professor used these results and the students' final exam scores with least squares regression to create an equation that predicted the final exam score based on the student's self-reported number of hours

Why would a statistitician consider an inference incomplete without an accompanying measure of itsreliability? Choose the correct answer below. A. The measure of reliability determines whether the statistician can use inferential or descriptive statistics. B. Without a measure ofreliability, the statistician does not know how well their sample

he management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally

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The clairvoyant can tell you: a. the probability of rain tomorrow b. whether you like spinach c. The current temperature in degrees Fahrenheit at the exact summit of Mt. Everest

Need help with Multiple linear regresison problem ASAP. See attached for documentaiton Math\tHours\tMajor 80\t5\tScience 50\t3\tScience 30\t2\tScience 20\t1\tScience 60\t4\tScience 78\t3\tEngineering 43\t1\tEngineering 103\t5\tEngineering 48\t2\tEngineering 80\t4\tEngineering 38\t2\tHistory 69\t4\tHistory 23\t1\tHistory 24\t1\tHistory Question 9
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From your experience,list one example related to theuse of statistics to improve a process.

oo T-Mobile LTE 7:08 PM L 4 >B 43% [E' H mathxlcom CS MBA-501-Q3216-1 7 I W Jeremy Drake & I 3/14/17 7:07 PM This Question: 1 pt 5 of 25 This Test: 25 pts possible EE Question Help 0 An investment of $58,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8%

Can I get process of calculation? Thank you for your help! 3. The vector eld 17(3, y, z) = (3,1932) is commonly used in physics. Let a, b, c E R be any real numbers, and set 13' = (a, b, c). (9.) Compute f" x 13. (b) Compute the curl of your answer from (a)
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Please help The UMUC Daily News reported that the color distribution for plain M&Ms was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&Ms was classified according to color, and the results are listed below. Use a 0.05 significance level to test the claim that the published color

Costco claims they have more than 100 customers enter their store each hour. They sampled the number of customers that entered the store in 24hrs. If the level of significance is .10. Step 4: Formulate the decision rule. a. reject H0 if t > 1.3118 b reject H0 if t < 1.318 c. reject H0 if z > 1.28 d. reject H0 if 1.28 > z > 1.28

If n = 6 and pi ( ) equals= 0.30 , what is the probability of thefollowing? P= (a) X =5 (b) X 4 (c) X <3 (d) X>2

SCHOOL OF ECONOMICS, FINANCE AND MARKETING ECON1061 - QUANTITATIVE ANALYSIS SEMESTER 2 2017 MELBOURNE Group Assignment (WEDNESDAY) Marks: 25 (23 marks related to your solutions, 2 marks for presentation etc.) Due: 12th October at 7:00 PM INSTRUCTIONS: 1. This assignment consists of 2 Short Answer Questions. 2. Ensure this assignment, and the

2.Annual demand for a drug is normally distributed with a mean of 40,000 units and a standard deviation of 10,000 units. a)What is the probability that annual demand is from 35,000 through 49,000 units? b)If you want to have only a 5 percent chance of running out of the drug, at what level should you set annual production?

Lab 9 Today's lab will explore the sampling distribution of the sample proportion p and construct normal theory confidence intervals (CIs) for the population proportion p. This material is Sections 9.4 and 10.2 of the text. [A - B] We should find in the case (n = 100, p = .30) that the sampling distribution is approximately normal and, by

What are the chances that a randomly dealt 13-card hand has at least one of every suit?(Use Inclusion/Exclusion).

1) A researcher hypothesizes that attitudes toward recycling can be improved by prorecycling messages. She randomizes participants to either the treatment or control condition. The treatment group reads a short argument in favor of recycling then completes a questionnaire about attitudes toward recycling (on a scale of 1-7, with higher values

An accountant for a corporation forgot to pay thefirm's income tax of $725,952.65 on time. The government charged a penalty of 7.2% interest for the 49 days the money was late. Find the total amount(tax andpenalty) that was paid. Assume 365 days in a year.

Confidence level is 98% n= 22 o= unknown The population is normally distributed (a) Find the critical value z /2 (b) Find the critical value t /2 (c) State that neither the normal nor the t distribution applies. Question: Find the critical value I get tx/2= 2.189. I'm not sure if this is right

The beta of M Simon Inc., stock is 1.6, whereas the risk-free rate of return is0.09. If the expected return on the market is0.12, then what is the expected return on M Simon Inc?

2) Score on Test 3 for statistics score are normally distributed with mean 70 and standard deviation 1.5. [5+5+5+5+5 =25 Points] a) What is the probability that a student selected at random has a score below 72 on this test? b) What is the probability that a student selected at random has score above 60 on this test? c) What is the probability

A restaurant has a lunch special that allows you to chose 1 meat and 1 vegetable for $2.99? A.) How many ways can you select a meat and then a vegetable from roast, fish, or chicken, and then peas, beans or squash? B.) You order a food from the restaurant above and tell them to pick any meat and vegetable. What is the probability that they pick

Petroleum pollution in oceans stimulates the growth of certain bacteria. An assessment of this growth has been made by counting the bacteria in each ofrandomly chosen specimens of ocean water (of a fixed size). Thecounts obtained were as follows:43,54,70,68,50

Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 for

The independent variable (IV) is group-women in their 30s, 40s, and 50s; the dependent variable (DV) is health-related hardiness, as measured on a 20-item scale. why is ANOVA Inappropriate?

In real-life applications, why should we NOT expect to know the population standard deviation?

Payment Time Case Study Major consulting firms such as Accenture, Ernst & Young Consulting, and Deloitte & Touche Consulting employ statistical analysis to assess the effectiveness of the systems they design for their customers. In this case, a consulting firm has developed an electronic billing system for a Stockton, CA, trucking company. The

Steven has invested $16003.45 into an account which pays interest compounded monthly. He makes no withdrawals but, at the end of the first month after interest is credited to the account, he sees that the balance is $16105.28. What annual effective rate of interest is the account paying?

2. This problem is an extension of problem 2 from homework 2, where you generated realizations from a simple linear model. Here you will be repeatedly simulating data and constructing condence intervals for .31 (part b], condence intervals for the mean response {part c], and prediction intervals for a new observation {part cl]. {a} Generate r1 = l
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for each of the following z-scores, sketch a normal distribution and draw a vertical line at the location of the z-score. then, determine whether the body is to the right or the left of the z-score and find the proportion of the distribution located in the body. (a) z=0.25, (b) z=-1.50, (c) z=1.75, (d) z=-0.40

Suppose that the summary statistics had been these instead of those reported in the table at the top of the page: Sample Size Mean Standard Deviation Ordinary bowls 37 11.5 oz 6.1 oz Bowls that are secretly refilled 37 17.7 oz 8.4 oz How, if at all, would the 95% confidence interval based on these data differ from the confidence interval reported

A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds produced by the process is greater than 0.5 karat. To evaluate the profitability of the process, a sample of six diamonds was generated using this new process, with recorded weights .46, .61, .52, .48, .57, and .54 karat.

Consider the following cumulative probability distribution. x 012345 P ( X x )0.100 .260 .560 .680 .851 a. Calculate P ( X 3). (Round your answer to 2 decimal places.) P ( X 3) b. Calculate P ( X = 3). (Round your answer to 2 decimal places.) P ( X = 3) c. Calculate P (1 X 3). (Round your answer to 2 decimal places.) P (1 X 3)

For people who buy ice cream, the all-time favorite is still vanilla. About 25% of ice cream sales are vanilla. Suppose that 175 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. Using normal approximation for this binomial distribution Poin a) Which assumptions need to be satisfied in order for you to use the normal

SCENARIO 13-2 A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data

In the North American court system, a defendant is assumed innocent until proven guilty. In an ideal world, we would expect that the truly innocent will always go free, whereas the truly guilty ones will always be convicted. Now, let us tackle the following questions? In the context of the Type I error and Type II error, can you relate a court

To determine a target audience for a new email package, a computer company surveyed a large sample of potential customers, asking each whether he or she uses email on a regular basis. (The company considered "a regular basis" to be at least three times a week.) The data, as summarized in the contingency table below, were classified by the age of
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The calls in the Quantum Health call center average 7.9 minutes and have a standard deviation of 1.7 minutes. Assuming normal distribution, answer the questions below. What is the probability that a call lasts between 6 and 11 minutes? What is the probability that a call lasts more than 13 minutes? What is the probability that a call lasts less

evaluate the double integral over a region D a sum of iterated integrals \f
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