# A large corporation employs 27,251 individuals. The average income in 2008 forall employees was $74,550 with a standard deviation of$19,872. You areinterested in comparing the income of today’s employees with those of 2008. Arandom sample of 100 employees of the corporation yields x = $75,207 and s =$18,901a. Describe the center and variability of the population distribution. What shapedoes it probably have? Explain.b. Describe the center and variability of the sampling distribution of the samplemans for n = 100. What shape does it have? Explainc. Explain why it would not be unusual to observe an individual who earns morethan $100,000, but it would be highly unusual to observe a sample meanincome of more than$100,000 for a random sample size of 100 people.

Question

A large corporation employs 27,251 individuals. The average income in 2008 for
all employees was $74,550 with a standard deviation of$19,872. You are
interested in comparing the income of today’s employees with those of 2008. Arandom sample of 100 employees of the corporation yields x = $75,207 and s =$18,901
a. Describe the center and variability of the population distribution. What shape
does it probably have? Explain.
b. Describe the center and variability of the sampling distribution of the sample
mans for n = 100. What shape does it have? Explain
c. Explain why it would not be unusual to observe an individual who earns more
than $100,000, but it would be highly unusual to observe a sample mean income of more than$100,000 for a random sample size of 100 people.