Assuming that the population is normally​ distributed, construct a ​95% 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 1, 3,3,3,6,6,6,8 Sample B 1,2,3,4,5,6,7,8 Construct a 95​% confidence interval for the population mean for sample A.   ---≤µ≤----  enter your response here ​(Type integers or decimals rounded to two decimal places as​ needed.) Part 2 Construct a ​95% confidence interval for the population mean for sample B.  --≤µ≤---  enter your response here    ​(Type integers or decimals rounded to two decimal places as​ needed.) Part 3  Explain why these two samples produce different confidence intervals even though they have the same mean and range. A. The samples produce different confidence intervals because their standard deviations are different. B. The samples produce different confidence intervals because their medians are different. C. The samples produce different confidence intervals because their critical values are different. D. The samples produce different confidence intervals because their sample sizes are different.

Assuming that the population is normally​ distributed, construct a ​95% 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 1, 3,3,3,6,6,6,8

Sample B 1,2,3,4,5,6,7,8

Construct a 95​% confidence interval for the population mean for sample A.  

---≤µ≤---- 

enter your response here ​(Type integers or decimals rounded to two decimal places as​ needed.)

Part 2 Construct a ​95% confidence interval for the population mean for sample B.

 --≤µ≤--- 

enter your response here    ​(Type integers or decimals rounded to two decimal places as​ needed.)

Part 3  Explain why these two samples produce different confidence intervals even though they have the same mean and range.

A. The samples produce different confidence intervals because their standard deviations are different.

B. The samples produce different confidence intervals because their medians are different.

C. The samples produce different confidence intervals because their critical values are different.

D. The samples produce different confidence intervals because their sample sizes are different.