Question: Next question n a recent year, the average hourly compensation for federal govemment employees was $40.32. The accompanying data are a random sample of the

Next question n a recent year, the average hourly compensation for federal govemment employees was $40.32. The accompanying data are a random sample of the hourly amounts paid to local govemment employees. Complete parts a through d Click the icon to view the hourly wages below a. If hourly pay is thought to be normally distributed, what proportion of local government employees receive pay higher than the average for federal employees? (Round to two decimal places as needed.) b. Calculate the sample proportion of the local employees whose hourly compensation is less than $40.32. (Round to two decimal places as needed.) c. Determine the probability that the sample proportion would be equal to or greater than the anewer obtained in part b The probability (Round to four decimal places as needed.) d. On the basis of the work in parts a, b, and c, is it reasonable to conclude that the proportion of state employees whose hourly compensation is less than $40.32 is the same as that of the federal employees? Explain The probability that the sample proportion would be equal to or greater than the armwer obtained in part b to conclude that the proportion of state employees whose houty compensation Hourly wages 41.21 30.21 42.01 40.74 40.88 34.48 36.57 48.83 33.56 23.69 34.99 44.08 33.27 31.22 25.74 28.19 41.98 36.13 52.97 41.36 29.24 40.84 42.41 49.91 30.45 40.35 47.93 35.45 36.04 27.46 34.56 47.14 39.11 38.09 42.68 38.53 32.74 45.63 29.44 46.05 36.49 34.32 23.03 35.06 31.63 43.96 30.91 30.81 35.01 35.23 25.83 34.09 34.48 36.31 44.54 29.41 35.19 28.82 36.83 30.13 - d. On the basis of the work in parts a, b, and c, is it reasonable to conclude that the proportion of state employees whose hourly compensation is less than $40.32 is the same as that of the federal employees? Explain. The probability that the sample proportion would be equal to or greater than the answer obtained in part bis 0.05, so it is to conclude that the proportion of state employees whose hourly compensation is less than $40.32 is the same as that of the federal employees

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