One of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organi- zation's success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from would be expected in the general workforce?

Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.t AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines. Assume population variances are unknown and unequal. AirTran Southwest 34 59 | 43 30 3 45 64 42 33 66 32 42 | 85 30 48 105 45 28 | 38 85 110 50 10 33 50 26 70 75 45 63 52 83 78 27 70 42 35 33 64 65 27 90 38 52 76 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let u, = population mean minutes late for delayed Airtran flights and u, = population mean minutes…

Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?

A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2121 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 14.314.3 pounds with a standard deviation of 1.21.2 pounds. The members of Group B had lost a mean of 12.112.1 pounds with a standard deviation of 2.42.4 pounds during the same time period. Assume that the population variances are not the same. Construct a 99%99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500500-mg supplement of calcium each day,…