Question

In: Statistics and Probability

A report at LinkedIn website reports that on average people will have 15 jobs over their...

A report at LinkedIn website reports that on average people will have 15 jobs over their lifetime. Suppose the standard deviation for how many jobs people have is 3.6 jobs. Assuming these figures are correct, Consider a representative sample of 80 retired individuals.

a. Give the properties of the sampling distribution for the sample mean number of jobs over their lifetime. (8)

b. What is the probability the sample mean will be more than 14 jobs per person (10)

Solutions

Expert Solution

Solution :

Given that,

mean = = 15

standard deviation = = 3.6

a ) n = 80

= 15

= / n =3.6 80 =0.4025

b ) P ( > 14)

= 1 - P (< 14 )

= 1 - P ( - /  ) < ( 14 - 15 / 0.4025)

= 1 - P ( z <- 1 / 0.4025 )

= 1 - P ( z < -2.48)

Using z table

= 1 - 0.0066

= 0.9934

Probability =0.9934

orchestra answered 1 year ago
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