Topics: - Estimation & Hypothesis Testing: Two Populations; Chi-Square Tests;

Analysis of Variance and Simple Linear Regression 

Section B(i)   

Question 1   

Quack Fast Food Company Limited hired two chemists, Mr. Morris and Mr. Logan to produce their signature sauce. Mr. Smith, 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 sauce whenever he oversees production when compared to Mr. Morris. Before making a final decision, Mr. Smith decided to collected data measuring the quality of different batches of sauce produced by Mr. Morris and Mr. Smith to make a better-informed decision. The results, measured on a quality scale, are listed below:  

a) Based on this data above, advise Mr. Smith 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%. 

b) At the 99% level of confidence, can Mr. Smith conclude that the mean quality score for the sauce is above 90?