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. Cormplete parts (a) and (b) below. Use a 0.05 significance level for both parts. Regular 40 40 0.78244 lb 0.00435 Ib 0.81852 lb 0.00752 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? OA H P=2 B. H P1= P2 H 12 OC H I2 OD. H PI "P2 H: P>P2 The test statistic, t, is (Round to two decimal places as needed.) (A) More Enter your answer in the answer box and then click Check Answer Check Aer 4 parts remaining Clear All v 9 6:57

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 (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
Regular
H2
40
40
0.78244 lb
0.81852 lb
0.00435 lb
0.00752 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?
B. Ho: H1 H2
O A. Ho: H1=42
H: P1 <H2
OC. Ho H1 42
O D. Ho: P1 #2
H 1<#2
The test statistic, t, is
(Round to two decimal places as needed.)
(1.1)
More
Enter your answer in the answer box and then click Check Answer.
Check Answer
4 parts
remaining
Clear All
V 6:57
DELL
esc
#
$
&
%3D
1
2
3
4
7
u
i
e
Transcribed Image Text: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 Regular H2 40 40 0.78244 lb 0.81852 lb 0.00435 lb 0.00752 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? B. Ho: H1 H2 O A. Ho: H1=42 H: P1 <H2 OC. Ho H1 42 O D. Ho: P1 #2 H 1<#2 The test statistic, t, is (Round to two decimal places as needed.) (1.1) More Enter your answer in the answer box and then click Check Answer. Check Answer 4 parts remaining Clear All V 6:57 DELL esc # $ & %3D 1 2 3 4 7 u i e
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