Helen wants to compare two machines in her factory to see if the wrapping was satisfactory. She wants to know if there is a difference between the two machines. She randomly chooses 56 packs that were wrapped with machine A and finds among them 47 that were satisfactory. She also randomly chooses 25 packs that were wrapped by machine B and notices that 14 of them were satisfactory. Use this information for both parts.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3...
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Part 1: What is the null and alternative hypothesis for his test?
O Ho : PA = PB; H : PA < PB
O Ho : PA = PB; H. : PA # PB
O Ho : PA> PB; H: PA= PB
O Ho PA # PB; Ha: PA= PB
O Họ : µA =µB; Ha: HA # HB
Part 2: Are the requirements for the hypothesis test met?
O Yes, the total sample size is 81 which is greater than 30.
O Yes. np > 10 and n(1- p) 2 10 is true for both samples.
O No, there are only 25 in the second group which is not larger than 30.
O No. np 10 and n(1 - p) > 10 is NOT true for at least one of the samples.
O No we need to do a histogram for the second group.
Transcribed Image Text:Part 1: What is the null and alternative hypothesis for his test? O Ho : PA = PB; H : PA < PB O Ho : PA = PB; H. : PA # PB O Ho : PA> PB; H: PA= PB O Ho PA # PB; Ha: PA= PB O Họ : µA =µB; Ha: HA # HB Part 2: Are the requirements for the hypothesis test met? O Yes, the total sample size is 81 which is greater than 30. O Yes. np > 10 and n(1- p) 2 10 is true for both samples. O No, there are only 25 in the second group which is not larger than 30. O No. np 10 and n(1 - p) > 10 is NOT true for at least one of the samples. O No we need to do a histogram for the second group.
Helen wants to compare two machines in her factory to see if the wrapping was satisfactory. She
wants to know if there is a difference between the two machines. She randomly chooses 56 packs that
were wrapped with machine A and finds among them 47 that were satisfactory. She also randomly
chooses 25 packs that were wrapped by machine B and notices that 14 of them were satisfactory. Use
this information for both parts.
Transcribed Image Text:Helen wants to compare two machines in her factory to see if the wrapping was satisfactory. She wants to know if there is a difference between the two machines. She randomly chooses 56 packs that were wrapped with machine A and finds among them 47 that were satisfactory. She also randomly chooses 25 packs that were wrapped by machine B and notices that 14 of them were satisfactory. Use this information for both parts.
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