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 0.78368 Ib 0.00434 lb 20 0 80639 Ib 0.00741 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. Ho H1 =P2 O B. Họ H1 = P2 H4: 2 H, > H2 c. Họ 1 = P2 O D. Ho: H1 H2 The test statistic, t, is (Round to two decimal places as needed.)

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Identify test statistic

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construct the 90​% confidence interval for p1−p2 

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
H2
n
20
20
X
0.78368 Ib
0.80639 Ib
0.00434 Ib
0.00741 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. Ho: H1 =H2
H1: H1> H2
O B. Ho: H1 = H2
Oc. Họ: H1 =H2
O D. Ho: 41 H2
H4: Hy <H2
H1: H1<H2
The test statistic, t, is
(Round to two decimal places as needed.)
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 0.05 significance level for both parts. Diet Regular H2 n 20 20 X 0.78368 Ib 0.80639 Ib 0.00434 Ib 0.00741 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. Ho: H1 =H2 H1: H1> H2 O B. Ho: H1 = H2 Oc. Họ: H1 =H2 O D. Ho: 41 H2 H4: Hy <H2 H1: H1<H2 The test statistic, t, is (Round to two decimal places as needed.)
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