Given the following hypotheses: H0 : ? ? 10 H1 : ? > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation was 3. Using the 0.05 significance level: a. State the decision rule. (Round the final answer to 3 decimal places.) (Click to select) H0 if t > b. Compute the value of the test statistic. (Round the final answer to 3 decimal places.) Value of the test statistic c. What is your decision regarding the null hypothesis? (Click to select) H0. There is (Click to select) evidence to conclude that the mean is greater than 10.
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- We need to determine the critical value for a one-tailed t-test at the 0.05 significance level with \( n - 1 \) degrees of freedom. - Degrees of freedom (df) = \( n - 1 = 10 - 1 = 9 \). - Using a t-table or calculator, the critical value \( t_{0.05, 9} \) for a Show moreā¦
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