Regular 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 0.05 significance level for both parts. Diet 20 0.78317 Ib 0.00444 Ib 20 0.81333 Ib 0.00759 Ib 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? O A H9: H1 = H2 H: H > H2 O B. Hg: H1 H2 H: Hy

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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Diet
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 0.05 significance level for both parts.
Regular
H2
20
20
0.78317 Ib
0.81333 Ib
0.00444 lb
0.00759 Ib
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?
O B. Ho: H1 µ2
O A. Ho: H1 = H2
H1: H1 > H2
H,: H1 <H2
O C. Ho: H1 = H2
D. Ho: H1 = H2
H1: H1 <H2
The test statistic, t, is
(Round to two decimal places as needed.)
Transcribed Image Text:Diet 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 0.05 significance level for both parts. Regular H2 20 20 0.78317 Ib 0.81333 Ib 0.00444 lb 0.00759 Ib 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? O B. Ho: H1 µ2 O A. Ho: H1 = H2 H1: H1 > H2 H,: H1 <H2 O C. Ho: H1 = H2 D. Ho: H1 = H2 H1: H1 <H2 The test statistic, t, is (Round to two decimal places as needed.)
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