Data on the weights (Ib) 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. Diet Regular P2 26 26 0.78133 Ib 0.80017 Ib 0.00438 lb 0.00747 Ib O B. 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. O C. 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. O D. 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. b. Construct a confidence interval appropriate for the hypothesis test in part (a). Ib (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains zero. (1,0) More only positive values. Click to select your answer(s). only negative values.

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Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the reqular 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.
Diet
Regular
26
26
0.78133 Ib
0.00438 Ib
0.80017 Ib
0.00747 Ib
O B. 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.
O C. 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.
O D. 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.
b. Construct a confidence interval appropriate for the hypothesis test in part (a).
qi> 21 – 'rl > qi
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion found with the hypothesis test?
V þecause the confidence interval contains
zero
(1,0)
More
only positive values.
Click to select your answer(s).
only negative values.
Transcribed Image Text:Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the reqular 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. Diet Regular 26 26 0.78133 Ib 0.00438 Ib 0.80017 Ib 0.00747 Ib O B. 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. O C. 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. O D. 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. b. Construct a confidence interval appropriate for the hypothesis test in part (a). qi> 21 – 'rl > qi (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? V þecause the confidence interval contains zero (1,0) More only positive values. Click to select your answer(s). only negative values.
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