a. If hourly pay is thought to be normally distributed, what proportion of local

Question

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 answer obtained in part b The probability is (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 answer obtained in part b is | 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 Hourly Wages 41.26 30.17 42.36 40.84 39.23 34.37 36.56 38.91 33.71 40.82 39.79 49.47 23.65 34.87 44.16 30.31 40.43 47.67 33.22 31.28 25.85 28.15 35.41 36.13 42.23 36.35 27.46 34.62 47.17 39.05 52.78 41.29 29.23 3798 42.63 38.54 32.94 45.76 29.35 46.26 36.64 34.48 23.14 34.84 31.58 43.94 30.98 30.67 35.13 35.29 25.69 34.14 34.43 36.44 44.28 29.28 35.03 28.86 37.05 30.37 Print Done

Explanation / Answer

Answer:

The descriptive statistics based on the given data is:

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?

b) Calculate the sample proportion of the local employees whose hourly compensation is less than $40.32

c) Determine the probability that the sample proportion would be equal to or greater than the answer obtained in part b.

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.

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