What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁: Hy

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6
K
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.
OA. Ho: H1 = H2
H₁ H₁ H₂
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?
OC. Ho: H₁ H₂
H₁ H₁ H₂
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
The test statistic, t, is
OB. Ho: H1 H2
H₁ H₁ H₂
OD. Ho: H1
μ
n
X
S
H₂
H₁ H1 H2
Diet
H₁
32
0.79547 lb
0.00443 lb
Regular
H₂
32
0.81785 lb
0.00743 lb
O A. 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.
OC. 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.
O D. 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.
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
Ch
CH
untit
Transcribed Image Text:K 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. OA. Ho: H1 = H2 H₁ H₁ H₂ 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? OC. Ho: H₁ H₂ H₁ H₁ H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. The test statistic, t, is OB. Ho: H1 H2 H₁ H₁ H₂ OD. Ho: H1 μ n X S H₂ H₁ H1 H2 Diet H₁ 32 0.79547 lb 0.00443 lb Regular H₂ 32 0.81785 lb 0.00743 lb O A. 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. OC. 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. O D. 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. 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 Ch CH untit
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