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 0.01 significance level for both parts. 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? OA. Ho: H₁ H2 H₁ H₁ H₂ OC. Ho: H₁ H₁: H₁ *** H₂ H₂ O B. Ho: hq #H2 H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H₁ H₂ |||*|| n X S Diet H₁ 39 0.78282 lb 0.00431 lb Regular H₂ 39 0.81588 lb 0.00757 lb

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 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.
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?
OA. Ho: H₁ H₂
H₁: M₁
μ₂
OC. Ho: H₁ H₂
H₁: H₁ <H₂
B. Ho: H₁ H₂
H₁: M₁ <H₂
O D. Ho: M₁ = H₂
H₁: H₁
H₂
μ
n
X
S
Diet
H₁
39
0.78282 lb
0.00431 lb
Regular
H₂
39
0.81588 lb
0.00757 lb
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 0.01 significance level for both parts. 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? OA. Ho: H₁ H₂ H₁: M₁ μ₂ OC. Ho: H₁ H₂ H₁: H₁ <H₂ B. Ho: H₁ H₂ H₁: M₁ <H₂ O D. Ho: M₁ = H₂ H₁: H₁ H₂ μ n X S Diet H₁ 39 0.78282 lb 0.00431 lb Regular H₂ 39 0.81588 lb 0.00757 lb
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