In Exercises 5–20, assume that the two samples are independent simple random samples selected from
5. Regular Coke and Diet Coke Data Set 26 “Cola Weights and Volumes” in Appendix B includes weights (lb) of the contents of cans of Diet Coke (n = 36,
a. Use a 0.05 significance level to test the claim that the contents of cans of Diet Coke have weights with a
b. Construct the confidence interval appropriate for the hypothesis test in part (a).
c. Can you explain why cans of Diet Coke would weigh less than cans of regular Coke?
Learn your wayIncludes step-by-step video
Chapter 9 Solutions
ELEMENTARY STATISTICS-ACCESS >CUSTOM<
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Introductory Statistics
Basic Business Statistics, Student Value Edition
- A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At alphaαequals=0.10, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse 1 2 3 4 5 6 Weight (before) 22.9 19.1 23.6 21.2 23.2 21.7 Weight (after) 21.4 18.3 22.9 20.9 22.1 20.8 Let u Subscript d μd be the hypothesized mean of the difference in the weights (before minus−after). What are Upper H0 and Upper Ha? A. Upper H0: u Subscript d μd less than or equals≤0 Upper Ha: u Subscript d μd greater than>0 B. Upper H0: u Subscript d μd not equals≠0 Upper Ha: u Subscript d μd equals=0 C. Upper H0: u Subscript d μd greater than or equals≥0 Upper Ha: u Subscript d μd less…arrow_forwardA kinesiologist claims that the resting heart rate of men aged 18 to 25 who exercise regularly is less than that of men who do not exercise regularly. Men in each category were selected at random and their resting heart rates were measured, with the following results: n Regular exercise 40 63 1.0 No regular exercise 30 71 1.2 (a) Set up the appropriate H0 and Ha. (b) Propose a formula to calculate the test statistic and report the result. (c) Find the P-value and make your conclusion on α = .05.arrow_forwardChapter 6, Section 5, Exercise 235 Use a t-distribution to find a confidence interval for the difference in means μd=μ1-μ2 using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d=x1-x2.A 95% confidence interval for μd using the paired data in the following table: Case Situation 1 Situation 2 1 76 86 2 81 85 3 94 91 4 61 77 5 70 78 6 71 60 7 85 89 8 89 90 Give the best estimate for μd, the margin of error, and the confidence interval.Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places.best estimate = Enter your answer; best estimatemargin of error = Enter your answer; margin of errorThe 95% confidence interval is Enter your answer; The 95% confidence interval, value 1 to Enter your answer; The 95% confidence interval, value 2.arrow_forward
- Chapter 6, Section 5, Exercise 232 Use a t-distribution to find a confidence interval for the difference in means μd=μ1-μ2 using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d=x1-x2.A 95% confidence interval for μd using the paired difference sample results x¯d=1.4, sd=2.0, nd=30.Give the best estimate for μd, the margin of error, and the confidence interval.Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places.Best estimate = Enter your answer; Best estimate.Margin of error = Enter your answer; Margin of error.The 95% confidence interval is Enter your answer; The 95% confidence interval, value 1 to Enter your answer; The 95% confidence interval, value 2.arrow_forwardIf all other values are held constant, what happens to the value of t when sample size increases ?arrow_forwardExercise 1. Given a population with mean μ=400 and variance σ2 =1,600, the central limit theorem applies when the sample size is n>=25. A random sample of size n=35 is obtained. What is the variance of the sampling distribution of the sample means =6.7612 I dont understand why the answer for the question is (variance / 35 )^(1/2) and not 1600^(1/2)arrow_forward
- A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…arrow_forwardAn article in Technometrics (1999, Vol. 41, pp. 202–211) studied the capability of a gauge by measuring the weights of two sheets of paper. The data follow. Test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2μ1−μ2)against the alternative that it is not (and assume equal variances). Find the t-stat to 3 decimal places.arrow_forwardIn a hypothesis test with hypotheses Ho: μ ≤ 54 and H1: μ > 54, a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t ?arrow_forward
- In Exercises 11–14, use the population of {34, 36, 41, 51} of the amounts of caffeine (mg/12 oz) in Coca-Cola Zero, Diet Pepsi, Dr Pepper, and Mellow Yello Zero. Assume that random samples of size n = 2 are selected with replacement. Sampling Distribution of the Variance Repeat Exercise 11 using variances instead of means.arrow_forward10.9 Consider the data from Exercise 1.7. a) For α = 0.05 apply the chi-square goodness-of-fit test to test the null hypothesis that the distribution of the number of six-point touchdowns per team per game in the NFL is a Poisson distribution with parameter λ = 2.7. (b) Suppose the value of λ is estimated from the data. How might this change effect the answer to part a? 1.7 The following pooled data represent the number of points scored per team per game in the National Football League during the 1973 season Group Frequency 0-3 27 4-10 66 11-17 91 18-24 70 25-31 57 32-38 34 39-45 16…arrow_forwardA university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. In testing the university’s belief, how does one define the population parameter of interest?arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt