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Mathematics Questions and Answers February 26, 2023

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Let be a standard normal random variable . Use the calculator provided to determine the value of such that P (C < Z < -1.05)=.1207 Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

STA 141A Fall 2016 Homework 5 Due: December 7 (Wednesday) at 5:00 PM Submit the assignment both electronically (through smartsite) and by submitting the printed copy. Electronic submission must be in the form of a zip folder (with extension .zip, .7z, etc.) containing two files: (i) descriptions of your analysis (as appropriate); (ii) codes used.

Suppose that I want to use a test to help predict who will quit their jobs before the end of the three-month probation period. One hundred new applicants are hired and the test is administered to all of them the first day. Half of them quit before the end of the 3-month probation period. Discriminant function analysis is used to determine if the

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Having serious problems with these differential equations. I cannot relate a single problem in my lab to a problem in my book or MML assignments. Please help and show work. Find the general solution to the differential equation: y'=x+1/y - That's "x+1 divided by y.

A pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitors pumps were found still working without repairs. Whatcritical

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 194 pounds and a standard deviation of 30 pounds. On a raft that takes people across the river, a sign states, Maximum capacity 3,528 pounds or 18 persons. What is the probability that a random sample of 18 persons will exceed the weight limit of

1. As sample variances increases, what happens to the likelihood of rejecting the null hypothesis and what happens to measures of effect size such as r 2 and Cohen's d? a. the likelihood decreases and measures of effect size decrease b. the likelihood increases and measures of effect size decrease 2. One sample has a variance of s 2 = 10 and a

A manufacture of soap wishes to know if customers have a preference for a bath soap fragrances. To answer their question a random sample of 200 adult shoppers is offered a free bar of soap. The recipients may choose from among the four flavours. The choices are as follows: Rose - 66 lavender - 53 sandalwood - 45 lemon - 36 Based on the above

. A typical college student spends an average of 2.4 hours a day using a computer. A sample of 13 students at IUP revealed the following number of hours per day using the computer. Can we conclude at a 98% level of confidence, that the mean number of hours per day using the computer by students at IUP is the same as the typical students usage? How

A recent 10-year study conducted by a research team at the Medical School was conducted to assess how age, blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period.

Mountain honeysuckle (Lonicera dioica) is considered a rare species of plant in Putnam County. Suppose you are starting a new plant survey in the county, and previous researchers have found this plant in only 4.5% of all quadrats surveyed. Given this, what proportion of your surveys should have 0 quadrats that contain mountain honeysuckle? What

At a large university, the probability that a student takes calculus and statistics in the same semester is 0.0125. The probability that a student takes statistics is 0.125. Find the probability that a student is taking calculus, given that he or she is taking statistics. a) 0.1 b) 0.1125 c) 0.0016 d) 0.1375 e) 0.4800

Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16. What proportion of patients has glucose levels exceeding 115? If a patient has a glucose level of 140, what percentile is this? What is the probability that the mean glucose level exceeds 115 in a sample of 12

A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The accompanying table shows the data. Test the hypothesis that the population mean amounts spent on clothes are different for men and women. Use a significance level of 0.05. Assume that

An organizational psychologist conducted a study to see whether upgrading a company's older computer system to newly released, faster machines would cause an increase in productivity from the current average of 120 units with a standard deviation of 20. The new system will be tested in a single department with 45 employees. The company has decided

The probability that a randomly selected 4-year-old male garter snakewill live to be 5years old is 0.56541. ( 2 Part question) round to five decimal points (a) What is the probability that two randomly selected 4-year-old male garter snakeswill live to be 5yearsold? (b) What is the probability that s e v e n randomly selected 4-year-old male g a r

35 40 45 50 55 60 65 70 75 80 -0.72 -0.14 -1.57 -0.96 -2.03 -2.75 -3.17 -2.98 -4.19 -4.22

Suppose that an economist has been able to gather data on the relationship between demand and price for a particular product. After analyzing scatterplots and using economic theory, the economist decides to estimate an equation, Q=aPb,where Qis quantity demanded and P is price. An appropriate regression analysis is then performed, and the

Chapter 8 C13. Use the data in FERTIL2 to answer this question. (i) Estimate the model children = b0 + b1age + b2age^2 + b3educ + b4electric + b5urban + u and report the usual and robust heteroskedasticity-robust standard errors. Are the robust standard errors always bigger than the non robust ones? (ii) Add the 3 religious dummy variables and

No Special Requirements for this Submission File. You may use the space to the right to place your calcualtions. Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 Question 11 Question 12 Question 13 Question 14 Question 15 Question 16 Question 17 Question 18 Question 19 Question 20

Can you provide answers for two quizzes? below is the first: QUESTION 1 If all sample averages on an-chart fall within the control limits, all output will be conforming. True False 4 points QUESTION 2 Process control and process capability are synonymous terms. True False 4 points QUESTION 3 When monitoring attribute data using a p-chart, if the

Assume you have noted the following prices for paperback books and the number of pages that each book contains. Develop a least-squares estimated regression line. 1. 2. Compute the coefficient of determination and explain its meaning. Compute the correlation coefficient between the price and the number of pages. Test to see if x and y are related.

For each of the following F values, indicate whether the F is statistically significant at the specified alpha level: [1 point each, total 5 points] a.F = 4.80, df = 4, 40 = 0.01 b.F = 5.02, df = 3, 60, = 0.001 c.F = 3.45, df = 3, 27, = 0.05 d.F = 4.99, df = 2, 150, = 0.01 e.F = 2.09, df = 2, 250, = 0.05 ANS. a. b. c. d. e.

You are trying to determine the statistical significance of an equation. Given the following information, test the slope of the equation at the 95% level of confidence. cost=521.44-53.50 (resolution) n=12 sb1=17.669 what is the tp and tc. Would you reject or fail to reject. would you use the equation or not use it

(Electro Corporation) The Electro Corporation manufactures two electrical products: air conditioners and fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of

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21-25: An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours. 21. Define the parameter of interest, using the proper notation._____________________________________________ 22. Use the

We have often used the result that TSS = ExpSS + RSS, for example to justify the use of R2 and of F tests. The purpose of this question is to prove that result. (a) Prove that (yi y-bar)^2 = (yi yi-hat)^2 +( yi-hat y-bar)^2 +2(yi yi-hat)(yi-haty-bar). (Hint: forthispart, the denitions of yi and y are completely irrelevant; you may nd it easier to

Consider and unfair coin. This coin has a 70% chance of heads and a 30% chance of tails. If i flip the coin 300 times, what is the probability I will get between 100 and 200 heads?

The union for a particular industry has determined that the standard deviation of the daily wages of its workers is $18. A random sample of 80 workers in this industry has a mean daily wage of $120. Find a 95% confidence interval for the true mean daily wage of all union workers in the industry. Then complete the table below. Carry your

LetXbe a random variable such thatE(X) = 5 andE(2X(X1)) = 55. (a) FindE(X2). (b) FindVAr(X). (c) Apply Chebyshevs inequality to find an upper bound to the probabilityP(|XE(X)| 5).

#51 According to the central limit theorem, which of the following statements is true? A The distribution of the sum (or average) of a large number of independent, identically distributed variables will be approximately normal, regardless of the underlying distribution. B The center of a distribution is limited to move NO MORE THAN 1.5 standard

1) Consider the partially completedone-way ANOVA summary table. How many populations are being compared for this ANOVAprocedure? Source Sum of Squares Degrees of Freedom Mean Sum of Squares F Between 270 Within 18 Total 810 21 A. 2 B. 5 C. 3 D. 4 2) Consider the partially completed one-way ANOVA summary table. Determine the mean square between for

Using the regression formula with a slope =2000 and an intercept = 15000, what would be the predicted income be for someone who has 16 years of education

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Ivana Miracle wishes to invest up to her full inheritance of $580,000, and her goal is to minimize her risk subject to an expected annual return of at least $29,000. She has decided to invest her money in any of three possible ways CDs, which pay a guaranteed 2 percent; stocks, which have an expected return of 5 percent; and a money market mutual

8.) (5 points) A sample of citizens in the United States was administered a statistics exam. The average score was 142 points, with a standard deviation of 22.2 points. What is the Z-score of a 142 exam score? What is the percentile of an exam score of 176? What is the Z-score of an exam score of 94? What is the percentile of an exam score of 77?

Suppose you generated 1,000 random integers from 3 to 5, inclusive. (a) What is the expected mean and standard deviation of these 1,000 integers? (Round your Mean value to 1 decimal place and Standard deviation value to 3 decimal places.)

in a sample of 212 BSC students, we find that 82% are binge drinkers. A) if we increase the sample size to 500, what is the standard error or proportion? ***need equation and calculation***

SECOND COMPUTER SIMULATION ASSIGNMENT: CHAPTER 7 - Sampling distribution of the mean. When this assignment is completed please send it to my graduate assistant (email in Syllabus) via an email attachment. It will only be accepted in Word (.doc or .docx) format. That means if you do an assignment using Excel, you must copy and paste the Excel

2. The formula for a regression equation is Y = 2X + 9. a. What would be the predicted score for a person scoring 6 on X? b. If someones predicted score was 14, what was this persons score on X? 6. For the ( X,Y ) data points below, compute: Data Points: (4,6), (3,7), (5,12), (11,17), (10,9), (14,21) a. The correlation ( r ) and determine if it is

Psych 280 - Spring 2016 Please Write Name on BACK of Paper Homework 12 A researcher was interested in whether the number of cups of coffee a person drinks is associated with their physical restlessness, based on an observational restlessness rating assigned by a research assistant. The following data were recorded. Scores Deviations Cups of Coffee

Week Six - Correlations Exercises Correlations are used to describe the strength and direction of a relationship between two variables. A correlation between two variables is known as a bivariate correlation. In this module the Pearson ProductMoment Correlation will be used when running a correlation matrix. The Pearson correlation coefficient

Solve the problem.The weights of the fish in a certain lake are normally distributed with a mean of 19 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 lb?

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a gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she will profit $225. the probility that she wins is 1/4. what is the expected value

PSY 520 SPSS Assignment 2 Before you begin the assignment: Read Chapter 14 in your Beginning Behavior Research: A Conceptual Primer textbook and Chapter 13 in your Discovering Statistics Using IBM SPSS Statistics textbook. Review the video tutorial for an overview of conducting ANOVA analyses in SPSS. Download and open the Test Performance SPSS

A company has computed a seasonal index for its quarterly sales. Which of the following statements about the index is not correct? A) The sum of the four quarterly index numbers should be 4. B) An index of .75 for the first quarter indicates that sales were 25 percent lower than the average quarterly sales. C) In index of 1.1 for the second

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Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly

s 1: Find the distance between the points A(3 , 4) and B(5 , 8) Questions 2: Find x so that the distance between the points (x , 4) and (-5 , 3) is equal to 5. Questions 3: Write the equation of the circle with center at (0 , 0) and a radius of 6. Questions 4: Find the center and radius of the circle whose equation is given by: (x - 2)2 + (y + 5)2

Need help with these questions ,was able to solve most but not sure if done correctly. Thanks The Lakeside Coffee Shop morning customer load follows a normal distribution. The mean number of customers is 60 and the standard deviation is 15. 1.Determine the probability that the number of customers tomorrow will be 50. 2.If the store gets more than

what body temperature is in the 5th percentile 95.18 96.18 97.18 98.18

(Quiz for tomorrow) Quiz 4 is 15 multiple-choice questions, 40 minutes to complete; Quiz 4 will cover the following chapters: Chapter 5 Computing the mean, variance, and standard deviation for a discrete probability distribution Solving/Interpreting problems based on the: Binomial Distribution using the binomial probability distribution formula

Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in

The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in riskfree securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of

Ultrasound is one of many experimental treatments used for soft tissue injuries. In an experiment to gauge the efficacy of this treatment for knee injuries, seven subjects with recent knee injuries were enrolled in a trial. The range of motion (in degrees) of the joint was measured first. After a prescribed ultrasound treatment, the range of

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The R2 of a multiple regression of y on X1 and X2 measures the: A. percent variability of y that is explained by the variability of X1. B. percent variability of y that is explained by the variability of X2. C. statistical significance of the coefficients in the regression equation. D. percent variability of y that is explained by the variability

according to poiseuilles laws, the velocity v of blood is given by v=k(R^2-r^2) when R is the radius of the blood vessels, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessels dilation medictaion so that her blood velocity is modeled by poiseuilles law with k=501.9. Find the

What is the antiderivative of f(x) = cos(x 2 )? more information

how do I calculate the standard deviation of 39, 35, 43, 27, 35

When conducting a hypothesis test,which one of the following p-values would you feel most confident to reject thenull hypothesis? a.0.05 b.0.01 c.0.99 d.0.005 e.0.995 2. A weatherman stated a null hypothesis that during the month of September, the mean daily temperature of Boston was the same as the mean dailytemperature of New York. His

ID Salary Compa Midpoint Age 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 66.6 26.4 35.3 56 47.5 75.5 41.5 22.8 74 24.1 23.6 63.4 41.4 23 23.6 44.1 63.7 35.9 24 33.6 74.8 52.1 22.9 51.7 24.8 24.3 41.4 75.2 72.8 47.4 22.7 27.5 59.3 28.5 1.168 57 31 31 57 48 67 40 23 67 23 23 57 40 23 23 40 57 31 23 31

her'they liked apple pie'.

Did Americans work less than 40 hours a week on average in 1974? In 1974, the GSS included questions about the number of hours that the respondent worked per week. The average number of hours worked per week was 39.70 hours with a standard deviation of 8.88 hours. A sample of 44 respondents was questioned. Find the test statistic.

Economics 257 November 9, 2016 R. Davidson Assignment 3 1. This exercise is closely related to one on the previous assignment. Let p denote the proportion of individuals in a population that suer from or carry a disease. Let p+ be the probability of a diagnostic test returning a positive result with an individual who does carry the disease, and p

i need it in 20 mnt The way to test if significant autocorrelations are present in time series regression models is by using the __________. If it is suspected that there could be some interaction between two independentx 1 andx 2 , which of the following steps would be appropriate to explore the effect of interaction between the two variables on

Problem 1 (20 points) Personal Mini Warehouses is planning to open a new branch in Manitoba. In doing so,the company must determine how many storage rooms of each size to build. The company builds large and small rental spaces. After careful analysis of the expected monthly earnings of both types of rental space, as well as constraints (budget,

Evaluate arccot (-3). I'm not sure if the answer is -pi/6 or -5pi/6. Please explain

\fYou take out a 15-year mortgage for $50,000, at 8% interest, to be paid off monthly. (3-points each) a.) Find the monthly payment. c.) Find the interest paid during 9th year of the mortgage. d.) After five years the owner decides to refinance the remaining balance for 10 years at 4.25% compounded monthly. Find the new monthly payment. e.) Find

Find the remaining zeros of f(x) given that c is a zero. Then rewrite f(x) in completely factored form. f(x)=x 3 -3x 2 -4x+12; c=2 is a zero A. identify all the remaining zeros(simplify answer) B. Write the completely factored form of f(x) f(x)= simplify answer

1- Suppose the prevalence rate of a particular trait among U.S. Adults is 39.7%. Consider taking a random sample of 325 U.S. Adults. Define the random variable of interest to be: X = the number of individuals with the particular trait in our sample. Find the mean of the random variable X. 2 Suppose the prevalence rate of a particular trait among

We have often used the result that TSS = ExpSS + RSS, for example to justify the use of R2 and of F tests. The purpose of this question is to prove that result. (a) (6 marks) Prove that (yi y-bar)^2 = (yi yi-hat)^2 +( yi-hat y-bar)^2 +2(yi yi - hat)(yi-haty-bar). (Hint: forthispart, the denitions of yi and y are completely irrelevant; you may nd

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The local office supply store sells 600 reams of printer paper each year. It costs them $3 to order more paper and it costs $1 per ream to store the paper. The store operates 300 days per year, and an order takes 3 days to arrive. How many reams of paper should be in each order (i.e. the EOQ)? What is the REORDER POINT at which they should place

A continuous random variable x produces a right-skewed distribution with a mean of 25 and a standard deviation of 6. The sampling distribution of the sample mean for a sample of 45 elements taken from this population is: approximately normal normal skewed to the right skewed to the left Which of the following conditions is not required to use the

Ch 5 discussion project 1) Create a realistic business scenario. Give a brief description of the business and product sold and describe how many units were sold at 2 price points (say regular price or sale price, etc.) 2) Find demand equation based on 2 given price points and amounts sold. Hint: you can form a linear equation based on 2 points of

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The St Louis Box Factory produces three grades (high, medium, and low) of boxes at two mills. Each mill has a different production capacity (in tons per day) for each grade, as follows: Mill 1 Mill 2 High Grade 5.8 2.2 Medium Grade 2.4 4.1 Low Grade 3.8 8.6 The company has contracted with a manufacturing firm to supply at least 10 tons of

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The owner of a small printing company is considering the purchase of additional printing equipment to expand her business. If the owner expands the business and sales are high, projected profits (minus the cost of the equipment) should be $90,000; if sales are low, projected profits should be $40,000. If the equipment is not purchased, projected

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In six sentences or more, explain how you would use descriptive statistical procedure(s) r in your personal life. (Minimum of 200 words)

PROJECT DATA # 1 1. 2. 3. 4. Henry Cavendish (1731-1810) measured density of the earth relative to the density of water [1]. The number of measurements is 29. The "true" value is 5.517. Cavendish's work led others to accurate values for the gravitational constant (G) and Earth's mass [2]: Newtonian constant of gravitation: G = 6.67384 x 10-11 m3

Twenty-five percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly two will end up being replaced under warranty?

12-13: Penalties in ice hockey occur when a player breaks one of the rules of the game. In mostcases, when a penalty occurs, the offending player is placed in the penalty box (the length of timespent in the penalty box depends on the severity of the penalty), and the team has to play withfewer people on the ice, which can result in an advantage

Find the probability and interpret the results. If convenient, use technology to find the probability. The population mean annual salary for environmental compliance specialists is about $ 6 0 , 5 0 0 . A random sample of 4 1 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $ 5 8 ,

Chi-Square Goodness of Fit Test (Assuming Equal Expected) Items Roll a 1 Roll a 2 Roll a 3 Roll a 4 Roll a 5 Roll a 6 Observed Expected 13 20.00 33 20.00 14 20.00 7 20.00 36 20.00 17 20.00 - Chi Square 2.45 8.45 1.80 8.45 12.80 0.45 - Data Level of Significance Degrees of Freedom 0.01 5 Results Critical Value 15.0863 Chi-Square Test Statistic

Consider two continuous random variables X and Y with joint p.d.f. f X, Y( x, y ) = x ^3 y C , 0 < x <1, 0 < y < 3 x, zero otherwise. a) Find the value of C so that f X, Y( x, y ) is a valid joint p.d.f. b) Find the marginal probability density function of X, f X( x ). Be sure to include its support. c) Find the marginal probability density

A diagnostic test for a certain disease has 95% sensitivity; that is a person with the disease has probability 95% of having positive result for the test. At the same time, the test has 95% specificity; that is, a person without the disease will have 95% probability of having negative result for the test. Suppose only 1% of the population has the

`1DATA-DRIVEN DECISION MAKING I ISE 4553/5553 Assignment 6 Where applicable, always provide hypotheses and respond to the assumptions of ANOVA (you can use R to produce these plots or perform statistical tests). For \"by hand\" calculations, you may use Excel for calculations, but implement the equations yourself. For each \"by hand\" problem,

Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds. Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are

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12.) Suppose Becky has her choice of $10,000 at the end of each month for life or a single prize of 1.5 million. She is 35 years old and her life expectancy is 40 more years.a.) Find the present value of the annuity if money is worth 7.2%, compounded monthly.b.) If she takes the $1.5 million, spends $700,000 of it, and invests the remainder at

It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.5 days and a standard deviation of 1.6 days. What is the probability of spending more than 4 days in recovery?

It is estimated that 90% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 6% of senior citizens suffer from both sleep disorders and anxiety. (a) Find the probability that a senior citizen suffers from anxiety, given that he or she has sleep disorder. Round your answer to 2 decimal places. (b) Given that a

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