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 0.05 significance level for both parts. Diet Regular μ μ1 mu 2μ2 n 4141 4141 (overbar)x 0.77984 lb 0.82336 lb s 0.00451 lb 0.00739 lb 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?The test statistic, t, is ______The P-value is _______ State the conclusion for the test. b. Construct a confidence interval appropriate for the hypothesis test in part (a). _____ lb Does the confidence interval support the conclusion found with the hypothesis test?

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...

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 0.05 significance level for both parts.

	Diet	Regular
μ	μ1	mu 2μ2
n	4141	4141
(overbar)x	0.77984 lb	0.82336 lb
s	0.00451 lb	0.00739 lb

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?

The test statistic, t, is ______

The P-value is _______

State the conclusion for the test.

b. Construct a confidence interval appropriate for the hypothesis test in part (a).

_____ lb < μ1="" -="" μ2=""><_____>

Does the confidence interval support the conclusion found with the hypothesis test?

Jun 03, 2022

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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...

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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...

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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...