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Question: A sample of 21 observations selected from a normally distributed population produced a sample variance of 1.97.

a. Write the null and alternative hypotheses to test whether the population variance is greater than 1.75.

b. Using α = .025, find the critical value of χ2. Show the rejection and nonrejection regions on a chi-square distribution curve.

c. Find the value of the test statistic χ2 .

d. Using the 2.5% significance level, will you reject the null hypothesis stated in part a?

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