Exercise 11.03 A sample of 16 items provides a sample standard deviation of 9.5.

Question

Exercise 11.03 A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using = .05. H0 : 2 50 a. Calculate the value of the test statistic (to 2 decimals). 27.08 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 Ho if 22greater than or equal to26.299 26.299 What is your conclusion? Conclude that the population variance is greater than 50

Explanation / Answer

For Criitcal value, this is right tailed test with 15 (16-1) degree of freedom

Use excel function

CHISQ.INV(0.95,15)

= 24.996

So, Critical value is 24.996

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