The average salary for a certain profession is $85, 500. Assume that the standar

Question

The average salary for a certain profession is $85, 500. Assume that the standard deviation of such salaries is $36,000. Consider a random sample of 61 people in this profession and let x represent the mean salary for the sample. Click the icon to view the table of normal curve areas. A. The shape is that of a uniform distribution. B. The shape is that of a poisson distribution. C. The shape is that of a normal distribution. D. The shape is that of a binomial distribution. d. Find the z-score for the value x = 77,000. z = (Round to two decimal places as needed.) e. Find P (x > 77,000). P (x > 77,000) = (Round to three decimal places as needed.)

Explanation / Answer

This is normal distribution. Option c is correct

D) z score = ((77000-85500)/36000)*Sqrt(61)=-1.84

So, answer is -1.84

E) P(x>77000) = P (z>-1.84) = 0.967

So, answer is 0.967

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