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%.

The state and local police departments are trying to analyze crime rates so they can shift their patrols from decreasing-rate areas to areas where rates are increasing. The city and county have been geographically segmented into areas containing 5,000 residences. The police recognize that not all crimes and offenses are reported: people do not want to become involved, consider the offenses too small to report, are too embarrassed to make a police report, or do not take the time, among other reasons. Every month, because of this, the police are contacting by phone a random sample of 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE January 7 1,000 0.007 February 9 1,000 0.009 March 7 1,000 0.007 April 7 1,000 0.007 May 7 1,000 0.007 June 9 1,000 0.009 July 7 1,000 0.007 August 10 1,000 0.010 September 8 1,000 0.008 October 11 1,000 0.011…

Two employees (Molly and Jim) must conduct a data analysis project on the success of a firm’s marketing efforts and then write a report of their findings for consideration by the firm’s board. If the first employee, Molly, worked completely alone, she could finish the data analysis component of the project with 30 hours of work and could write the report with an additional 10 hours of work. If Jim worked alone, he would take 48 hours of work to conduct the data analysis and then 12 hours to write the report. Assume that both employees need to contribute to the project, that there would be no benefits to having two people work on the same part of the project (data analysis and writing), and that working on the two parts are independent (i.e. there is no benefit to working on both parts). Which employee has the comparative advantage in conducting the data analysis? Explain

A student was interested in the impact of nutrition and exercise on mental health. She recruited a sample of 80 individuals. She divided the participants into 4 groups. One group was a control group. There was no treatment for this group. The second group was the diet group. These participants followed a strict diet that was designed by a dietitian. The nutrients in the diet were optimized for each individual. The third group was an exercise group. These participants worked with a personal trainer on an individualized exercise plan. The fourth group was the exercise and diet group. This group had both the dietitian and personal trainer intervention. After 3 weeks of treatment (or control), She measured their mental health with the Warwick-Edinburgh Mental Well-being Scale (WEMWBS). Some of the information is included in the ANOVA table below but I spilled a coffee on the output and the student already deleted the raw data...oh, no!! Given the ANOVA table below, what is the F-statistic?…