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A random sample of 24 college? men\'s basketball games during the last season ha

ID: 2906581 • Letter: A

Question


A random sample of 24 college? men's basketball games during the last season had an average attendance of 5,126 with a sample standard deviation of 1,762.
Complete parts a and b below.
a. Construct an 80?% confidence interval to estimate the average attendance of a college? men's basketball game during the last season.
The 80?% confidence interval to estimate the average attendance of a college? men's basketball game during the last season is from a lower limit of __ to an upper limit of __.
?(Round to the nearest whole? numbers.)
b. What assumptions need to be made about this? population?
A.The only assumption needed is that the population size is larger than 30.
B.The only assumption needed is that the population follows the normal distribution.
C.The only assumption needed is that the population follows the? Student's t-distribution.
D.The only assumption needed is that the population distribution is skewed to one side.

Explanation / Answer

Standard error of the mean = SEM = S/?N = 359.667

t(?, N-1) = 1.319

Confidence interval = m +/- (t(?, N-1)*SEM)

Mean = 5126

Lower bound: 4652

Upper bound: 5600

B.The only assumption needed is that the population follows the normal distribution.

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