4. Consider the following hypothesis test: H0: ? ? 40 Ha: ? < 40 A sample of 49 provides a sample mean of 38 and a sample standard deviation of 7. a. Determine the standard error of the mean. b. Compute the value of the test statistic. c. Determine the p-value; and at a 5% level of significance, test the above hypotheses.
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Step 1: Calculate the standard error of the mean using the formula: \(SE = \frac{s}{\sqrt{n}}\) Given that \(s = 7\) and \(n = 49\), we have: \(SE = \frac{7}{\sqrt{49}} = 1\) Show more…
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