# 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 x2. Show the rejection and non-rejection regions on a
chi-square distribution curve.
c. Find the value of the test statistic x2.
d. Using a 2.5% significance level, will you reject the null hypothesis stated in part a?

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