10.1 Home Mail Corporation sells products by mail. The company's management wants to find out if the number of orders received on each of the five days of the week is the same. The company took a sample of 400 orders received during a four-week period. The following table lists the frequency distribution for these orders by the day of the week. Conduct a goodness of fit test to determine if the distribution of orders is equally distributed by day of the week. Day of Week Number of Orders 10.2 Mon 92 Thur 86 Fri 89 Wearing Seatbelt 34 30 Not Wearing Seatbelt 21 15 Two drugs were administered to two groups of patients to cure the same disease. One group of 60 patients and another group of 40 patients were selected. The following table gives information about the number of patents who were cured and not cured by drug. Conduct a test of independence to determine if each drug is as equally effective in curing the patients. Drug I Drug II 10.4 Wed 65 One hundred auto drivers, who were stopped by police for some violation, were also checked to see if they were wearing their seat belts. The following table shows the results of this survey. Conduct a test of independence to determine if seat belt usage differs by gender. Male Female 10.3 Tue 68 Cured 46 18 Not Cured 14 22 A large company buys thousands of light bulbs every year. The company is currently considering four brands of light bulbs to choose from. Before the company decides which light bulbs to buy, it wants to investigate if the mean life of the four types of light bulbs is the same. The company's facilities department randomly selected a few bulbs of each type and tested them. The following table lists the number of hours (in thousands) that each of the bulbs by brand survived before burning out. Conduct an ANOVA in EXCEL to determine if mean life of these four brands are the same or different. If you have time also try to do by hand. Brand 1 23 24 19 26 22 23 25 Brand 2 19 23 18 24 20 22 19 Brand 3 23 27 25 26 23 21 27 Brand 4 26 24 21 29 28 24 28