Discuss the below:
Q1: A sample of high school seniors showed that 18 of 60 who owned PlayStation 3 spent more than an hour a day playing games, compared with 32 of 80 who owned Xbox 360. Is there a significant difference in the population proportions at a= .10?
Q2: Has the cost to outsource a standard employee background check changed from 2005 to 2006? A random sample of 10 companies in spring 2005 showed a sample average of $105 with a sample standard deviation equal to $32. A random sample of 10 different companies in spring 2006 resulted in a sample average of $75 with a sample standard deviation equal to $45. (a) Conduct a hypothesis test to test the difference in sample means with a level of significance equal to .05. Assume the population variances are not equal. (b) Discuss why a paired sample design might have made more sense in this case.
Q3: A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 5 percent level of significance? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the test statistic and state your conclusion.
Saturday Sales Data ($) for Ski Hats
Saturday East Side Shop West Side Shop
1 548 523
2 493 721
3 609 695
4 567 510
5 432 532