Question

The random sample shown below was selected from a normal distribution.

1010​,

44​,

77​,

66​,

77​,

22

  

Complete parts a and b.

a. Construct a

9595​%

confidence interval for the population mean

muμ.

left parenthesis nothing comma nothing right parenthesis3.113.11,8.898.89

​(Round to two decimal places as​ needed.)b. Assume that sample mean

x overbarx

and sample standard deviation

ss

remain exactly the same as those you just calculated but that are based on a sample of

nnequals=2525

observations. Repeat part a. What is the effect of increasing the sample size on the width of the confidence​ intervals?The confidence interval is

left parenthesis nothing comma nothing right parenthesisnothing,nothing.

​(Round to two decimal places as​ needed.)

Answer 1

10	4	16
4	-2	4
7	1	1
6	0	0
7	1	1
2	-4	16

Refer t-table or use excel function "=T.INV.2T(0.05,5)" to find the critical value of t.

-----------------------------------------------------------------------------------------------------

Refer t-table or use excel function "=T.INV.2T(0.05,24)" to find the critical value of t.