Question

PART 1
Let X represent the average age of people living in Sun City. Assume that X has a normal probability distribution with μ=72 years and σ=10 years.

You intend to measure a random sample of n=51 people.

What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?
(Report answer accurate to 2 decimal places.)
σ¯x=

PART 2

In a normal distribution, the mean corresponds to:
Standard Score: z =
Percentile:

PART 3

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=27.7. You would like to be 95% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?
n =

Answer 1