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Consider the following hypothesis test:

H₀: µ ≤ 12

H_a: µ > 12

A sample of 25 provided a sample mean of 14 and a sample standard deviation of 4.32.

Compute the value of the test statistic. (Round to two decimal places) Answer

What is the p-value? (Round to three decimal places). Answer

At α=0.05, what is your conclusion? AnswerReject the null hypothesisDo not reject the null hypothesis

Answer 1

Solution :

= 12

= 14

s =4.32

n = 25

This is the right tailed test .

The null and alternative hypothesis is

H0 :   ≤ 12

Ha : > 12

Test statistic = t

= ( - ) / / n

= (14 - 12) / 4.32 / 25

= 2.32

p(Z > 2.32) = 1-P (Z < 2.32) = 0.0147

P-value = 0.0147 = 0.015

= 0.05  

p = 0.015< 0.05

Reject the null hypothesis .

There is sufficient evidence to