The mean of a simple random sample selected from a populatio

The mean of a simple random sample selected from a population is used to estimate the population mean. Based on statistical inference, please answer the following question.

1)Rejected

2)Retained

3)Can not be determined

Solution

Null, H0: U=8
Alternate, H1: U!=8
Test Statistic
Population Mean(U)=8
Sample X(Mean)=10
Standard Deviation(S.D)=3
Number (n)=9
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =10-8/(3/Sqrt(9))
to =2
| to | =2
Critical Value
The Value of |t | with n-1 = 8 d.f is 2.306
We got |to| =2 & | t | =2.306
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho

[ANSWER] 2)Retained