Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim.
Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim.
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QUESTION:

Use a significance level of ΅ = 0.05 to test the claim that µ = 32.6. The sample data consist of 15 scores for which x = 42.5 and s = 5.9. Use the traditional method of testing hypotheses.
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ANSWER:

H0: µ = 32.6.
H1: µ J 32.6.
Test statistic: t = 6.50.
Critical values: t = ±2.145. Reject H0.
There is sufficient evidence to warrant rejection of the claim that the mean is 32.6.
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I JUST WANT THE STEPS TO GET THESE ANSWERS. STEP BY STEP solution is what im looking for, regarding the ANSWER ALREADY BEEN GIVEN ABOVE.

Answer 1

Here 2 = 0.05 lo= 32.6, 7 = 42.5 and s=s.g Hence ho: 4 = 32.6 US HNE 32-6 Test statistics = t a. S = 42.5-32.6 - g.g 5.9 1.5234 als It - 6.50 here t N tainaa & table value fort 0.025, 14 is equal I tot 2.145 hence we Reject ho There is sufficient evidence to warment relection of the claim that the mean is 32-6.