Question

The first picture contains the whole thing. I went ahead and took additional pictures of each of a, b, c, and d by themselves. For c and d there’s multiple drop downs so please choose the correct answer for each of them. THANK YOU IN ADVANCE!!!

Consider the following hypothesis test: A sample of 40 provided a sample mean of 14.18. The population standard deviation is 5. Enter negative value as negative number a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations C. Using α-0.05, can it be conduded that the population mean is not equal to 15 Select your answer Answer the next three questions using the critical value approach. d. using α-0.05, what are the critical values for the test statistic? (+ or-) (to 2 decimals) State the rejection rule: Reject Ho if z is -Select your answerthe lower critical value and is -Select your anser Can it be concluded that the population mean is not equal to 15 the upper critical value. Select your answer

Answer 1

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

$Z=\frac{\bar{X}-\mu}{\frac{\sigma}{\sqrt{n}}}$

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