Question

Assuming that the population is normally​ distributed, construct a

9090​%

confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range.

Sample​ A:	11    22    33    33    66    66    77    88	Full data set
Sample​ B:	11    22    33    44    55    66    77    88

Construct a

9090​%

confidence interval for the population mean for sample A.

nothing less than or equals≤muμless than or equals≤nothing

Construct a

9090​%

confidence interval for the population mean for sample B.

nothing less than or equals≤muμless than or equals≤nothing

Answer 1

Sample A:

n = Number of Data Values = 8

x̄ = Sample Mean = 49.5

s = Sample Standard Deviation = 28.19

90% confidence interval:

Sample B

n = Number of Data Values = 8

x̄ = Sample Mean = 49.5

s = Sample Standard Deviation = 26.94

90% confidence interval: