# Question: A sample of 21 observations selected from a normally distributed

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?

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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