Use the t-distribution and the sample results to complete the test of the hypoth

Question

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.

Test H0 : =15 vs Ha : >15 using the sample results x¯=17.2, s=6.4, with n=40.

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.

Test H0 : =15 vs Ha : >15 using the sample results x¯=17.2, s=6.4, with n=40.

Explanation / Answer

here std error =std deviaiton/(n)1/2 =6.4/(40)1/2 =1.0119

test statistic t =(X-mean)/std error =(17.2-15)/1.0119 =2.17

for above test stat and (n-1=39) degree of freedom p value =0.018

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