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?