Question

The mean starting salary for nurses is $67,694 nationally. The standard deviation is approximately $11,333. The starting salary is normally distributed. A sample 35 starting salaries for nurses is taken. Find the probability that the sample mean is more than $68,000. Represent the probability with a graph.

Answer 1

.Solution :

= / n = 11333 / 35

P( > 68000) = 1 - P( < 68000)

= 1 - P[( - ) / < (68000 - 67694) / 11333 / 35 ]

= 1 - P(z < 0.16)

= 0.4365