) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 > 0     t=_________ P-value_______   State the conclusion in the problem context.   A) We reject H0. It is not reasonable to conclude that there is a difference in mean sodium content for mea

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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4. 

A research article reported that for a random sample of 850 meal purchases made at fast food chain A, the mean sodium content was 1,687 mg, and the standard deviation was 823 mg. For a random sample of 2,107 meal purchases made at fast food chain B, the mean sodium content was 1,474 mg, and the standard deviation was 811 mg. Based on these data, is it reasonable to conclude that there is a difference in mean sodium content for meal purchases at fast food chain A and meal purchases at fast food chain B? Use ? = 0.05. (Use ?1 for fast food chain A and ?2 for fast food chain B.)
 
State the appropriate null and alternative hypotheses.
 
A)
H0: ?1 − ?2 = 0

Ha: ?1 − ?2 < 0
 
B)
H0: ?1 − ?2 = 0

Ha: ?1 − ?2 ≠ 0
 
C)
H0: ?1 − ?2 ≠ 0

Ha: ?1 − ?2 = 0
 
D)
H0: ?1 − ?2 > 0

Ha: ?1 − ?2 = 0
 
E)
H0: ?1 − ?2 = 0

Ha: ?1 − ?2 > 0
 
 
t=_________
P-value_______
 
State the conclusion in the problem context.
 
A) We reject H0. It is not reasonable to conclude that there is a difference in mean sodium content for meal purchases at fast food chain A and meal purchases at fast food chain B.
B) We fail to reject H0. It is not reasonable to conclude that there is a difference in mean sodium content for meal purchases at fast food chain A and meal purchases at fast food chain B.    
 
C) We fail to reject H0. It is reasonable to conclude that there is a difference in mean sodium content for meal purchases at fast food chain A and meal purchases at fast food chain B.
 
D) We reject H0. It is reasonable to conclude that there is a difference in mean sodium content for meal purchases at fast food chain A and meal purchases at fast food chain B.
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