A company has two chemist, Mr. Morris and Mr. Logan to produce their drinks. Mr. John, their boss, is not pleased with Mr. Logan’s attitude to work, so he is contemplating firing Mr. Logan and keeping Mr. Morris only to perform this job. The problem, however, is that Mr. Logan seems to produce a higher quality drink whenever he oversees production when compared to Mr. Morris. Before making a final decision, Mr. John decided to collect data measuring the quality of different batches of drinks produced by Mr. Morris and Mr. Logan to make a better-informed decision. The results, measured on a quality scale, are listed below: Name Average Standard Deviation Sample Size Mr. Logan 98 1 8 Mr. Morris 94 4 10 a) Based on this data above, advise Mr. John whether Mr. Logan is better at making the signature sauce than Mr. Morris by using hypothesis testing – use the critical value approach with a level of significance at 5%.
A company has two chemist, Mr. Morris and Mr. Logan to produce their drinks.
Mr. John, their boss, is not pleased with Mr. Logan’s attitude to work, so he is contemplating firing Mr. Logan and
keeping Mr. Morris only to perform this job. The problem, however, is that Mr. Logan seems to produce a higher quality drink whenever he oversees production when compared to Mr. Morris. Before making a final decision,
Mr. John decided to collect data measuring the quality of different batches of
drinks produced by Mr. Morris and Mr. Logan to make a better-informed
decision. The results, measured on a quality scale, are listed below:
|
Name |
Average |
Standard Deviation |
|
|
Mr. Logan |
98 |
1 |
8 |
|
Mr. Morris |
94 |
4 |
10 |
a) Based on this data above, advise Mr. John whether Mr. Logan is
better at making the signature sauce than Mr. Morris by using
hypothesis testing – use the critical value approach with a level of
significance at 5%.
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