To test (H_{0}: mu=80) versus (H_{1}: mu <80), a simple random sample of size (n=22) is obtained
Question:
To test \(H_{0}: \mu=80\) versus \(H_{1}: \mu<80\), a simple random sample of size \(n=22\) is obtained from a population that is known to be normally distributed.
(a) If \(\bar{x}=76.9\) and \(s=8.5\), compute the test statistic.
(b) If the researcher decides to test this hypothesis at the \(\alpha=0.02\) level of significance, determine the critical value.
(c) Draw a \(t\)-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?
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Related Book For
Statistics Informed Decisions Using Data
ISBN: 9781292157115
5th Global Edition
Authors: Michael Sullivan
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