Given the following hypotheses: H0: ? = 480 H1: ? ? 480 A random sample of 14 observations is selected from a normal population. The sample mean was 488 and the sample standard deviation 8. Using the 0.10 significance level: a. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject H0 when the test statistic is outside the interval ( 3.740 , 1.771 ). b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic
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Step 1:** Calculate the test statistic using the formula: \[ \text{Test Statistic} = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}} \] Given that: Sample mean (\(\bar{x}\)) = 488 Population mean (\(\mu\)) = 480 Sample standard deviation (s) = 8 Sample size (n) = Show more…
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