Question

Assuming that the population is normally​ distributed, construct a 90 % confidence interval for the population​ mean, based on the following sample size of n equals 6. ​1, 2,​ 3, 4, 5​, and 23 In the given​ data, replace the value 23 with 6 and recalculate the confidence interval. Using these​ results, describe the effect of an outlier​ (that is, an extreme​ value) on the confidence​ interval, in general. Find a 90 % confidence interval for the population​ mean, using the formula or technology. (Round to two decimal places as​ needed.)

Answer 1

INTERPRETATIONS  
Interpretations:
1) We are 90% sure that the interval [-0.51 , 13.11] contains the true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 90% of these intervals will contains the true population mean