Mathematics Questions and Answers October 01, 2020

The volumes of apple juice in cartons are normally distributed with a standard deviation of 120 mL. Find the mean, to the nearest whole number, if 34% of these cartons contain less that 961 mL of juice.

The World Health Organization has reported that approximately 18.7% of children ( < 5 years) living in rural Angola sleep under a bednet. 1. Assume that 90 children are selected at random from this population. Calculate the probability that 27 or more of the children in the sample sleep under a bednet. 2. Assume that 90 children are selected at

Could someone please help me with this question Show That The following subset of TR is not compact by describing an open cover for ir That has no finite subcover. E

Intelligence Quotient (IQ) scores are often reported to be normally distributed with =100.0 and =15.0. Arandom sample of 57 people is taken. Step1of2: What is the probability of a random person on the street having an IQ score of less than 99? Round your answer to 4 decimal places, if necessary.

Find each function value and limit. Use - co or co where appropriate. 3x + 8 f (x ) = 7x - 2 (A) f(10) (B) f(100) (C) lim f(x) X-+00

In a large population, 60% of people read atleast one book a week. What is the smallest sample size we can take for the sampling distribution to meet the normal condition for proportions? 25 17 100 10

(i). Use logical equivalences, prove that A B C A B A C .. (ii). Let A B C A B C , where A B, and C are sets. a). Show that the statement holds true by showing that each side is a subset of the other side. b). Show using a membership table. Use Mathematica to verify. (iii).Find all the solutions of 2 x x x . (iv).Find all the solutions of x x x

1.)In the equation r(65) = .45, p < .05, what are the degrees of freedom? .45 45 .65 65 .05 2.) If the absolute value of your correlation coefficient is 1, your error in prediction will be: Very high Very low 0 1 Unknown

Find the first quartile for this list of numbers 2 79 90 4 38 42 35 59 100 88 56 47 61 10 48

Answer the following two questions. (a) UMGC Stats Club is sending a delegation of 2 members to attend the 2020 Joint Statistical Meeting in Monrovia, Liberia. There are 10 qualified candidates. How many different ways can the delegates be selected? (b) A USPS delivery driver needs to make deliveries at 6 different locations. How many different

please show working out thanks 10. This is a distribution of how much money was spent per week on food for a random sample of college students. Which Measure of center would be the most useful in identifying a typical food cost per week? Circle: Mean or Median Frequency 60 140 Food Costs Per Week

In symbols, we state the _ _ _ __ _of binary operations as, V XER, x + (- x) = -x + X = 0. O a. associativity O b. identity O c. inverse O d. commutativety

4. Suppose that A is a matrix in Mn (C) and that A is an eigenvalue of A. A Jordan chain for A is a collection of nonzero vectors v1, . . ., vx such that Av, = Av, and Avj = Avj + vj-1, j = 2, ..., k. Use the Jordan chain relation above to prove that the vectors v1, ..., * are linearly independent

Solve all workings pleasejQuery224034054072888481923_1622495761587?Allowing separation dependent on the infectious impacts of an actual impedance would be conflicting with the essential motivation behind 504, which is to guarantee that crippled people are not denied occupations or different advantages in view of the biased mentalities or the

2. Very briefly, explain if the value in the dominator of the one sample and independent sample t test is different? If so, what is the difference and why do we use it?

I'm having trouble with this question. Please guide me through this. Let Z have the standard normal distribution. Then show that Y = Z 2 will have the chi-squared distribution with 1 degree of freedom. (You will have to start with the CDF of Y defined as F Y (y) = P(Y y) = P(Z 2 < y) = P( y Z y), write final probability as an integral, and then

Find the third quartile for this list of numbers 65 31 9 2 95 82 25 73 72 70 89 63 15 30 87

Please help! A large cable company reports that 41% of its customers subscribe to its cable TV service, 38% subscribe to its internet service, and 24% subscribe to both services.: 1) Construct a contingency table for this context. 2) What is the probability subscribers have no cable or no internet? Write your answer as a percent. Be sure to

Question 13 4 pts The mean height of a basketball team is 6.4 feet with a standard deviation of 1.6 feet. The team's center is 6.7 feet tall. Find the center's z score. 4 pts Question 14

2. Let f : [0,1] > R be continuous and assume f(0) = f(1). Show that for each integer n > 1 there exists an x such that f(x) : f (x + L). [I

This quiz: 13 point(s) possible This question: 1 point(s) possible Question 9 of 13 Submit quiz Find the taxable income. Use $4000 for each exemption. Number of exemptions Adjusted gross income Itemized deductions 2 $98070 $8581 . $81 ,489 . $89,489 . $80,908 . $90,070 E Quiz: Exam 6 - Unit 6 (Chapter 16 & 20) Question 1 of 13 This quiz: 13

De un grupo de estudiantes se seleccionan cuatro al azar y se clasifican como hombre o mujer.

Could someone please help me with this question

For a given normally-distributed data set, the mean is 26.19 and the standard deviation is 4.8. Find the shaded area to the right under the curve that corresponds to an x-value of 34.542. 26.19 34.542

Could someone please help me with this question (99 .0) Show that compactness is necessary in Corollary 3.5.8. That is, find a family of intervals { An : n E N} 8 abouoa with An+1 C An for all n, An = 0 , and such that The Sets are all bounded. n=1 el, the Jared erich) Ba & ammoenTa

You roll a "fair" die 48 times with the following results. (incase you cant see the table look below) Number 1 2 3 4 5 6 Frequency 4, 13, 2, 14. 13, 2 Use a significance level of 0.05 to test the claim that the die is fair.

Use the sample from Topic 2 DQ 1 and test that the population mean for rolling a single die is 3.5. This is the sample from Topic 2 DQ 1: results of rolling: 1, 3, 2, 2, 5, 4, 4, 2, 5, 5, 2, 1, 4, 6, 6, 2, 2, 3, 1, 1, 2, 2, 4, 6, 6, 2, 3, 1, 1, 1, 2, 3, 1, 5, 4, 4, 3, 6, 6, 1, 1, 1, 3, 4, 1, 1, 6, 3, 6, 4 mean: 3.08 median: 3 mode: 1 variance:

Why doesn't it make sense to test the hypothesis that the sample mean is 42?

For the experiment of flipping a fair coin 6 times, consider the event E : there are 3 heads in 6 flips of a fair coin a. Find the odds in favor of E b. Find the odds against E

Math 114 Question 8 of 37 (1 point) | Attempt 2 of Unlimited 2.1 Find the percent decreas The sale price of a spring break vacation package was $229.99, and the travel agent said by booking early, you saved $40. Find the percent decrease in price. Round the answer to the nearest tenth of a percent, if necessary. The percent decrease in price is

According to Statistics Canada's The Daily Internet bulletin, the median employment income for the Quebec City area is $38,000. Let's assume that the employment income is distributed according to a normal distribution with a standard deviation of $7000. What is the income of individuals that corresponds to the first quartile? - 42721 - 43250 -

Suppose the waiting time to get food after placing an order at a fast-food restaurant is exponentially distributed with a mean of 60 seconds. If a randomly selected customer orders food at the restaurant, what is the probability that the customer will wait at least (Round your answers to 4 decimal places.) (a) 150 seconds? P= (b) 2.9 minutes? P=

4 uestion 5 4 poir Determine whether the given sequence converges or not. If it converges, find its limit. ( a ) on = .The sequence {an} (Write converges or diverges) 12 + 3n+ 1 and lim an = (if the sequence {an) diverges in the previous blank write not exist and if converges write an integer number

Calculate confidence intervals and interpret it. Comparing Groups Mean of group A- 10 Mean of group B- 10 Male Mean SBP- 125 Female Mean SBP- 122

If Ken told Alan to flip the coin only 20 times, what is the probability that Allan will not be able to convince Ken (by failing to reject the null hypothesis at the 0.05 level)? I think that he will not be able to convince his friend:

Forest City Casino is interest in determining how much weekend visitors spend at their casino. Based on the sample below, establish a95% confidence interval for the weekend customer spend amount. Forest City Casino Weekend Customer Spend Survey $775 $475 $6,925 $825 $750 $4,725 $125 $175 $8,450 $425 $975 $275 $525 $350 $650 $150 $9,575 $400 $800

What is the t score (T value) of n=840 and 95% confidence interval?

In multiple linear regression, the adjusted R 2 can be used to compare models, and its value will always be greater than or equal to that of R 2 . True or False

Absentee Research Quiz The data is from "CanadianJournal of Economics", August 1992.So it is real data.I will send you the individual excel file. In a very brief introduction: Absenteeism is a serious employment problem in most countries. Two economists launched a research project to learn more about the problem. They randomly selected 100

A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample, respectively. What is the marginal standard deviation of

You are told that the distribution of television weights is normal, with a mean, of 10.6 kilograms and a standard deviation, of 1.9 kilograms.If a random sample, n of 85 televisions is selected, what is the Z score for a sample mean weight, x of 14 kilograms?

Can you help me on this problem? It is pretty short, but I can't figure it out. 6. Consider a nomally distributed random variable X with mean # = 10 and standard devi- ation 0 = 5. (a) (3 points) What is the probability that X is larger than 9? (b) (3 points) Find the 10-th percentile of X

show working out please and thanks! 6. A distribution has a 5 Number Summary as follows: 10, 25,28,35, 51 Draw and label Boxplot above the number line below using the 5# Summary

A stats class was interested in determining the percentage of students on their campus who are opposed to a new policy eliminating all paper books from the campus bookstore in favor of eBooks. After surveying 84 students, the class finds that 39% are opposed to the policy. The margin of error is calculated to be 10.6%. Write a sentence or two

Let X be a topological space. 1. Given x E X, let C, be the union of all connected subspaces of X that contain x. Show that C, is connected

Can you help me with this https://onlinestatbook.com/2/case_studies/nutrition.html

A physical therapy facility is building a new pool that is 60 feet long and 7 feet deep. They have ordered enough tile for a 140 foot long border around the edge. How wide should the pool be to ensure all tiles are used?

Tried to upload table it will only take photos. There are tabs each instruction. Really need help ASAP thanks Insert Page Layout Formulas Data Review View Help PROTECTED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Enable Editing 11 X V fx Fiber A C D E F G H K M N O P

Solve each of the following pairs of equations to three-figure accuracy. Verify your

Solve each of the following pairs of equations to threefigure accuracy. Verify your solution in each case.

You are told that the weights of bags of apples are normally distributed with a mean of 1 kilogram and a standard deviation of 0.031 kilogram. According to the Empirical rule, within what range will approximately 99.7% of the bags of apples weigh? Please give your first answer as the lower bound and your second answer as the upper bound. Give your

An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 4 novels, 6 plays, 5 poetry books, and 5 nonfiction books. Step 2 of 2: If he wants to include all 4 novels, how many different reading schedules are

Statistics we at all the arrows tract look OF /() Sub we dont multipy , t x , + 2 + 3 50 the cost her X / 26 1 = 35 12 + x 2 2 = 56 and Should always add the no nagactivity constraing 7 30 160 5 50 2 3 40 40 20 Subjer X , + 34 2 + 26 + 3 6 30 Supply

Explain how frequency is used to inform probability and why this is important. Be sure to include the relevance of p-values as it concerns probability and the relationship with frequency distributions.

Use n =10 and p = 0.8 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. Pix) in: Pix) D 1 D 7 D 2 D 8 D 3 D 9 D 4 D 10 D 5 D (Round to four decimal places as needed.)

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed. Using weight as the explanatory variable, what is the slope of the line between these two points? Answer

(Q2): 5 data points are randomly sampled fmm a distribution that. is Normal N (mean = 3. variance = 1}. The data points are (1.9, 2, 3.1, 4, 4); (a) what is the value of the 3:2 statistic 'E' (h) from the x2 Tabies. what is the dtance that the value of the statistic will be greater than the one found above

What type of correlation would exist between a person's height and their arm span? a. negative correlation c. no correlation b. positive correlation d. Inverse correlation

One study shows 60% of CEOs in the U.S hold a master's degree or doctorate. A random sample of 400 CEOs are selected in U.S. What is the probability that less than 55% of them have a master's degree or doctorate?

Given two variables with : Var(X) = 25, Var(Y) = 16, also, the correlation between X and Y is -0.5, calculate Cov(X, Y), Cov(2X, 3Y), Var(X+Y) and Var (2X + 3Y)?

A movie theater manager wants to test whether showing old classics changes the average satisfaction rating of his customers. The null hypothesis is that there is no change. Describe what the type I and type II errors would be in the context of this problem. Which would be worse for the theater manager: making a type I error or a type II error? Why?

What are some of the possible lurking variables that could impact the average difference in life expectancy for states? Explain

The length of time needed to complete a certain test is normally distributed with mean 71 minutes and standard deviation 5 minutes. Find the probability that it will take less than 77 minutes to complete the test. a) 0 0.8849 b) 0 0.1151 c) 0.4425 d) 0 0.5575 e) O 0.5000

Numerical Methods (Full solution) Find the first-order derivative using backward, forward and central f(x) = e^x-cosx given xi = 0; h =1

The cost of tuition at Gillmore Community College is $150 per credit hour. Tuition is expected to increase by 7.5% next semester. complete sentence that explains your answer using both contextual and quantitative information.

show working out please and thanks! 9. In an analysis of a random sample of individuals from the 2010 U.S. Census, which of the following variables can be analyzed using a histogram? Indicate "yes" OR "no" if a histogram can be used. State of Residence: Annual Income: Zip Code

The expression P(A and B) = P(B A) P( A) is valid if A and B are mutually exclusive O only if A equals B O for any events A and B O A and B are independent

Please type out the answers, no handwriting please Weights of diamonds are measured in carats 1 carat = 100 points, 0.99 carats = 99 points, etc. The difference between the size of a 0.99 carat diamond and a 1 carat diamond is undetectable to the naked human eye, but does the price of a 1 carat diamond tend to be higher than the price of a 0.99

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 5% of the true population proportion. How large of a sample size is required?

The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is2200 pounds with a variance of34,225 . A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out ahypothesis testto see if

Find the indicated z-score shown in the graph. Right Area is shaded in blue. Area = 0.0233 Z 0 Z=? The z-score is (Round to two decimal places as needed.)

If Z is a standard normal variable, find the probability that z lies between 0 and 1.96

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 60 miles and a standard deviation of 5 miles. Find the probability of the following events: A. The car travels more than 66 miles per gallon. Probability = B. The car travels less than

Suppose a closet consists of 8 scarlet shirts, 4 gray shirts, and 6 white shirts. To pack for a weekend trip, Brutus randomly selects two shirts without replacement. Round your answer to four decimal places as necessary. A. What is the probability that the first shirt selected is white? B. Given that the first shirt selected is grey, what is the

2. Interpret the Excel results for the following statistical measures, in the context of the new project: a) Adjusted r2 b) t value

someone is planning a survey of household income in la la land. from a pilot study, it estimates that the standard deviation is around $22000. what sample size is needed to have a margin of error equal to 1000 with 99% confidence interval. m= alpha= sigma= z= calculate the sample size? n=

Consider the types of conjoint analyses discussed in the lecture so far. Compare them in terms of what you believe their advantages and disadvantages to be. Specifically, compare full profile ratings to discrete choice conjoints, and then within discrete choice, compare pairwise and three-option choice tasks. What would you gain by using one over

Option 1: Does/does notOption 2: Is/is not Volunteering: The General Social Survey asked 1302 people whether they performed any volunteer work during the past year. A total of 525 people said they did. Part: 0 / 3 Part 1 of 3 (a) Find a point estimate for the population proportion of people who performed volunteer work in the past year. Round the

3. A doctor suggests that during stressful life events, increasing time outside will lower your resting heart rate. Use the traditional method to determine if the data below suggests a negative relationship between time outdoors and resting heart rate. Time outside (min/day) 55 10 85 80 0 45 20 Resting Heart Rate 60 72 58 63 91 79 77 a. State the

pints] DETAILS PREVIOUS ANSWERS JKESTAT11 4.E.075. MY NOTES ASK YOUR TEACHER PRACTICE AN known that steroids give users an advantage in athletic contests, but it is also known that steroid use is banned in athletics. As a result, a steroid testing program has been instituted and athletes are randomly tested. The test procedures ar eved to be

please provide solution as early as possible 1. Determine which of the following sequences converges, and which diverges? If a sequence converges, find its limit.1 - 5n (c) an = n4 + 8n3 In n (d) an = 1

The length of a certain kind of Colorado brook trout is normally distributed with a mean of 12.1 inches and a standard deviation of 1.2 inches. What minimum size limit should the Department of Natural Resources set if it wishes to allow people to keep 74 percent of the trout they catch? (Round your answer to 2 decimal places.) Minimum size

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of $0.20. A study was done to test the claim that the mean cost of a daily newspaper is $1.00.Fourteencosts yield a mean cost of $0.97with a standard deviation of $0.18. Do the data support the claim at the 1% level?

Product developers at a paper towel company developed three brands of paper towels and tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand and the "Absorbency Rating" data are presented in the following table. Perform an appropriate analysis on the data at 0.03 level of significance.

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than 0.399C. P(Z <0.399)=

One disadvantage of the median is that it is not unique

Based upon the input from Units 1 and 2, you have just received your next assignment that will contribute to your next decision. For the outdoor sporting goods client, based upon your prior decision on whether or not to expand to the next market or retain your current position, justify your decision further utilizing the chi-square distribution

. The Carmike Patriot 12 Theater sells an annual popcorn bucket for $25. The bucket can be re-filled an unlimited number of times for $3.75 per refill. The following graph shows how the amount spent on popcorn and the number of popcorn bucket refills are related. Use the graph to complete parts a-g. c. What is the rate of change? ( Use the

Please help Q1: (Pairwise Independent vs. Mutually Independent: 10 marks) Three given events A, B, C are Pairwise Independent, if the following 3 conditions are satisfied: 1) P[AnB] = P[A] P[B] 2) P[AnC] = P[A] P[C] 3) P[COB] = P[C] P[B] Three given events A. B, C are Mutually Independent, if the following 4 conditions are satisfied: 1) P[AnB] =

The price elasticity of demand for widgets is 1.4. Assuming no change in the demand curve for widgets, a 14 percent decrease in sales implies a(n) Multiple Choice O 12 percent increase in price. O 24 percent increase in price. O 10 percent increase in price. O 19.6 percent increase in price

Tab1 Tab 3 10 11 12 13 14 15 16 17 18 1,047.01 0,00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0,00 0,00 0,00 57.44 57.44 1,057.44 D.DO 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 45.41 45.41 45.41 15.41 45.41 15.41 45.41 45.41 45.41 1,045.41 0.00 10.00 0.00 43.34 43.34 43.34 43.34 43.34 43.34 43.34 43.34 43.34 1,043.34 0.00 0.00 0.00 0.00

Provide a few sentences on the differences and which you believe had led to better clustering and why 6. The Football Bowl Subdivision (FBS] level of the National Collegiate Athletic Association (NCAA) consists of over 100 schools. Most of these school belong to one of several conferences, or collections of schools, that compete with each other on

if Unknown confidence level of 95% is 639 as shown below Unknown variability, confidence level of 95% Use 50/50 for p and q. =639.4 (639) 25 = 15,984 25 = 6.66 x 2400 5 = 2.58 (60 x 40) e n= z (pq) 2 2 2 2 1.What is the Unknown variability, confidence level of 90% 2.What is the Unknown variability, confidence level of 99%

Instruction: Answer all the question below: 1. The following table gives the frequency distribution of the number of orders by a company for a month. Solve the following: Classlimit frequency 35-39 3 40-44 6 45-49 7 50-54 4 total 20 a) Draw an ogive less than percentage (4 marks) b) Calculate median and mode value (6 marks) c) Calculate Quartiles

How to determine if a article fully answer the research question

A coffee-dispensing machine is supposed to deliver 8 ounces of liquid into each paper cup, but a consumer believes that the actual mean amount is less. The consumer obtained a sample of 16 cups of the dispensed liquid with sample mean of 7.75 ounces and sample variance of 0.81 ounces.If the dispensed liquid delivered per cup is normally

An investor believes that investing in domestic and international stocks will give a difference in the mean rate of return. They take two random samples of 15 months over the past 30 years and find the following rates of return from a selection of domestic (Group 1) and international (Group 2) investments. Can they conclude that there is a

please solve question no ,8 on page Let x bo a continuous random variable with the following pidif fox ) = 0 7 70 a Verify that fox) is the pidif of a random variable ie verify podif properties for for ) b Find the cidif of X. Let X be a continuous random variable such that E ( ( x- a )?)

The manager of a chain of furniture stores believes that experience is the most important factor in determining the level of success of a salesperson. To examine this belief he records last month's sales and the years of experience for 30 randomly selected salespeople. The linear regression output to predict Monthly Sales (in $1,000's) based on

Hi! can you answer me the question from title "Cost Volume Profit Analysis" to Inventory please!! and show the working please !!!^^

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n = 43 and p = 0.26. (For each answer, enter a number. Use 2 decimal places.) n p = n q = Can we approximate p by a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is