Question #350449

Hypothesis test on population mean; 𝛼 = 0.05; one-tailed test (right); 𝑛 = 37; 𝑠 = 5


1
Expert's answer
2022-06-14T11:44:30-0400

This corresponds to a right-tailed test, for which a t-test for one mean, with unknown population standard deviation, using the sample standard deviation, will be used.

Based on the information provided, the significance level is α=0.05,\alpha = 0.05, df=n1=36df=n-1=36 and the critical value for a right-tailed test is tc=1.6882985.t_c =1.6882985.

The rejection region for this right-tailed test is R={t:t>1.688298}.R = \{t:t>1.688298\}.

The t-statistic is computed as follows:


t=xˉμs/nt=\dfrac{\bar{x}-\mu}{s/\sqrt{n}}


If t>1.688298=tc,t>1.688298=t_c, the null hypothesis is rejected.


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