WageWeb (http://www.wageweb.com/health1 .htm) provides compensation information and services on more than 160 positions. As of October 1,

Question:

WageWeb (http://www.wageweb.com/health1

.htm) provides compensation information and services on more than 160 positions. As of October 1, 2003, the national average salary for a registered nurse (RN) was $47,858. Suppose the standard deviation is $7750.

a. Find the probability that the mean of a sample of 100 such nurses is less than $45,000.

b. Find the probability that the sample mean of a sample of 100 such nurses is between $46,000 and $48,000.

c. Find the probability that the sample mean of a sample of 100 such nurses is greater than

$50,000.

d. Explain why the assumption of normality about the distribution of wages was not involved in the solution to parts a–c.

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