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 0.01 significance level for both parts. Regular H2 36 n 36 X 0.78021 Ib 0.81413 Ib 0.00434 lb 0.00743 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? O A. Ho: H1 = H2 H1: Hy> H2 O B. Ho: H1 = H2 H1: H1 # H2 O C. Ho: H1 = H2 H,:Hq

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Identify the test statistic

p-value 

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 0.01 significance level for both parts.
Diet
H2
36
36
0.78021 Ib
0.81413 Ib
0.00434 Ib
0.00743 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
B. Ho: H1 = H2
H1: H1 # H2
O C. Ho: H1 = H2
H1: H1 <H2
O D. Ho: H1 # H2
H1: H1 <H2
Transcribed Image Text: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 0.01 significance level for both parts. Diet H2 36 36 0.78021 Ib 0.81413 Ib 0.00434 Ib 0.00743 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 B. Ho: H1 = H2 H1: H1 # H2 O C. Ho: H1 = H2 H1: H1 <H2 O D. Ho: H1 # H2 H1: H1 <H2
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