To test H0â€‹: Î¼ = 100 versus H1â€‹: Î¼ â‰ 100, a simple random sample of size n =19 is obtained from a population that is known to be normally distributed. Answer partsâ€‹ (a)-(d).
Please look at the t-Distribution Area in Right Tail table that I attached to this question.
(a) If xÌ… = 105.2 and s = 9.5, compute the test statistic.
t = __â€‹ (Round to three decimal places asâ€‹ needed.)
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(b) If the researcher decides to test this hypothesis at the Î± = 0.01 level ofâ€‹ significance, determine the critical values.
The critical values are
â€‹(Use a comma to separate answers as needed. Round to three decimal places asâ€‹ needed.)
Draw aâ€‹ t-distribution that depicts the criticalâ€‹ region(s)
(d) Will the researcher reject the null hypothesis?
researcher will reject the null hypothesis since the test statistic is between the critical values.
The researcher will
reject the null hypothesis since the test statistic
the critical values.
There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.
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