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cted from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts est the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. at are the null and alternative hypotheses? A M₂: #₁ #₂ H₂: Hy

cted from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts est the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. at are the null and alternative hypotheses? A M₂: #₁ #₂ H₂: Hy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? OA H₂:₁ = 1/₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ The test statistic, t, is. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval appropriate for the hypothesis test in part (a). lb<H₁-H₂<lb (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains OB. Ho: H₁ H₂ H₂: Hy > H₂ OA. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. O C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. OD. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. ▼ OD. Hg: H₁ H₂ H₁ H₁ H₂ μ n X S Diet H₁ 29 0.78885 lb 0.00434 lb Regular H₂ 29 0.80421 lb 0.00749 lb
Transcribed Image Text:Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? OA H₂:₁ = 1/₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ The test statistic, t, is. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval appropriate for the hypothesis test in part (a). lb<H₁-H₂<lb (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains OB. Ho: H₁ H₂ H₂: Hy > H₂ OA. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. O C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. OD. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. ▼ OD. Hg: H₁ H₂ H₁ H₁ H₂ μ n X S Diet H₁ 29 0.78885 lb 0.00434 lb Regular H₂ 29 0.80421 lb 0.00749 lb
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