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Week 5,• Exercises 31, 32, and 38 (Ch. 10),,31. A new weight-watching company, Weight Reducers International, advertises that those,who join will lose, on the average, 10 pounds the first two weeks with a standard deviation,of 2.8 pounds. A random sample of 50 people who joined the new weight reduction program,revealed the mean loss to be 9 pounds. At the .05 level of significance, can we,conclude that those joining Weight Reducers on average will lose less than 10 pounds?,Determine the p-value.,,32. Dole Pineapple, Inc., is concerned that the 16-ounce can of sliced pineapple is being,overfilled. Assume the standard deviation of the process is .03 ounces. The qualitycontrol,department took a random sample of 50 cans and found that the arithmetic mean,weight was 16.05 ounces. At the 5 percent level of significance, can we conclude that,the mean weight is greater than 16 ounces? Determine the p-value,,,38. A recent article in The Wall Street Journal reported that the 30-year mortgage rate is now,less than 6 percent. A sample of eight small banks in the Midwest revealed the following,30-year rates (in percent):,,4.8 5.3 6.5 4.8 6.1 5.8 6.2 5.6,,Exercises 27, 46, and 52 (Ch. 11),,27- A recent study focused on the number of times men and women who live alone buy,take-out dinner in a month. The information is summarized below.,At the .01 significance level, is there a difference in the mean number of times men and,women order take-out dinners in a month? What is the p-value?,,,Statistic Men Women,Sample mean 24.51 22.69,Population standard deviation 4.48 3.86,Sample size 35 40,,,,Exercises 23 and 28 (Ch. 12),,23. A real estate agent in the coastal area of Georgia wants to compare the variation in the,selling price of homes on the oceanfront with those one to three blocks from the ocean.,A sample of 21 oceanfront homes sold within the last year revealed the standard deviation,of the selling prices was \$45,600. A sample of 18 homes, also sold within the last,year, that were one to three blocks from the ocean revealed that the standard deviation,was \$21,330. At the .01 significance level, can we conclude that there is more variation,in the selling prices of the oceanfront homes?,,28. The following is a partial ANOVA table.,Discount Variety Department,\$12 \$15 \$19,13 17 17,14 14 16,12 18 20,15 17 19,,Sum of Mean,Source Squares df Square F,Treatment 2,Error 20,Total 500 11,,,,Complete the table and answer the following questions. Use the .05 significance level.,a. How many treatments are there?,b. What is the total sample size?,c. What is the critical value of F?,d. Write out the null and alternate hypotheses.,e. What is your conclusion regarding the null hypothesis?,,,Exercises 19 and 20 (Ch. 17),19. In a particular market there are three commercial television stations, each with its own,evening news program from 6:00 to 6:30 P.M. According to a report in this morning’s local,newspaper, a random sample of 150 viewers last night revealed 53 watched the news,on WNAE (channel 5), 64 watched on WRRN (channel 11), and 33 on WSPD (channel 13).,At the .05 significance level, is there a difference in the proportion of viewers watching,the three channels?,,20. There are four entrances to the Government Center Building in downtown Philadelphia.,The building maintenance supervisor would like to know if the entrances are equally utilized.,To investigate, 400 people were observed entering the building. The number using,each entrance is reported below. At the .01 significance level, is there a difference in the,use of the four entrances,Entrance Frequency,Main Street 140,Broad Street 120,Cherry Street 90,Walnut Street 50,Total 400,