A group of APAP Chemistry students debated which fast-food chain had better quality bags, Fast Food Chain W or Fast Food Chain M . They decided to investigate by selecting a random sample of 25 bags from each fast food restaurant, slowly adding water until each bag began to leak, and recording the volume of water they were able to pour into each bag. They then calculated the mean volume and standard deviation, in ounces, for the two types of bags. Which of the following are the correct null and alternative hypotheses to test whether the mean volume of water the bags from Fast Food Chain W can hold without leaking, μW, is different from that for the bags from Fast Food Chain M, μM ? a) H0:μW−μM=0 Ha:μW−μM>0 b) H0:μW−μM<0 Ha:μW−μM>0 c) H0:μW−μM=0 Ha:μW−μM≠0 d) H0:x¯W−x¯M=0 Ha:x¯W−x¯M>0 E) H0:μW−μM=0 Ha:μW−μM<0

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 14PPS
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A group of APAP Chemistry students debated which fast-food chain had better quality bags, Fast Food Chain W or Fast Food Chain M . They decided to investigate by selecting a random sample of 25 bags from each fast food restaurant, slowly adding water until each bag began to leak, and recording the volume of water they were able to pour into each bag. They then calculated the mean volume and standard deviation, in ounces, for the two types of bags. Which of the following are the correct null and alternative hypotheses to test whether the mean volume of water the bags from Fast Food Chain W can hold without leaking, μW, is different from that for the bags from Fast Food Chain M, μM ?

a) H0:μW−μM=0

Ha:μW−μM>0

b) H0:μW−μM<0

Ha:μW−μM>0

c) H0:μW−μM=0

Ha:μW−μM≠0

d) H0:x¯W−x¯M=0

Ha:x¯W−x¯M>0

E) H0:μW−μM=0

Ha:μW−μM<0

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