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A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a - .o5. Ho : σ 2 < 50 Ha : σ 2 > 50 a. Calculate the value of the test statistic (to 2 decimals). 2.85 The p-value is between .025 and .05 What is your conclusion? Conclude that the population variance is greater than 50 b. Repeat the hypothesis test using the critical value approach. Round critical value to 3 decimal places. What is the rejection rule for this hypothesis test? Reject H o if χ 2 (greater than or equal to What is your conclusion? Conclude that the population variance is greater than 50

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