Question

A random sample of 18 college​ men's basketball games during the last season had an average...

A random sample of 18 college​ men's basketball games during the last season had an average attendance of

5,061with a sample standard deviation of 1,751.

Complete parts a and b below.

a. Construct a 95​% confidence interval to estimate the average attendance of a college​ men's basketball game during the last season.

b. what assumptions need to be made about this population?

Homework Answers

Answer #1

a)

df = n - 1 = 18 - 1 = 17

t critical value at 0.05 significance level with 17 df = 2.110

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

5061 - 2.110 * 1751 / sqrt( 18) < < 5061 + 2.110 * 1751 / sqrt( 18)

4190.17 < < 5931.83

95% CI is ( 4190.17 , 5931.83 )

b)

We need to assume that population is normally distributed.

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