Construct a 99?% confidence interval to estimate the population mean using the f
ID: 2906584 • Letter: C
Question
Construct a 99?% confidence interval to estimate the population mean using the following data. What assumptions need to be made to construct this? interval?
x?=89
?=17
n=11
What assumptions need to be made to construct this? interval?
A.The population is skewed to one side.
B.The population mean will be in the confidence interval.
C.The sample size is less than 30.
D.The population must be normally distributed.
With 99?% ?confidence, when n=11 the population mean is between the lower limit of __ and the upper limit of __.
Explanation / Answer
D. The population must be normally distributed.
Standard error of the mean = SEM = S/?N = 5.126
t(?, N-1) = 3.169
Confidence interval = m +/- (t(?, N-1)*SEM)
Mean = 89
Lower bound: 72.76
Upper bound: 105.24