## Answers

a) The test statistic here calculated is Z statistics because the distribution is normal and sample size is greater than 30.

X is the sample mean and sigma is the standard deviation

Z by formula calculated as

-1.04

b)The p value associated with the calculated Z score computed using Z table shown below.

As 0.2983

C) since the |Z| is less than Z critical and P vakuevis greater than alpha as 0.2983 hence we cannot conclude that mean is different.

d) Using 0.05 as level of significance the critical value of Z is 1.96

Rejection rule:

Reject Ho if Z is lower than the lower critical value and is greater than the upper critical value .

No, we cannot conclude that population mean is not equal to 15

Please find Z table

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