Sunshine City was designed to attract retired people, and its current population of

50,000 residents has a mean age of 60 years and a standard deviation of 16 years. The

distribution of ages is skewed to the left. A random sample of 100 residents of

Sunshine City has

x

= 58.3 and

s

= 15.0.

a.

Describe the center and spread of the population distribution.

b.

Describe the center and spread of the data distribution. What shape does it probably

have?

c.

Describe the center and spread of the sampling distribution of the sample mean for

= 100. What shape does it have?

d.

Explain why it would not be unusual to observe a person of age under 40 in Sunshine

City, but it would be highly unusual to observe a

sample mean

under 40 for a random

sample size of 100 people.

n