Question

A researcher wants to test H 0 : σ = 1.45 versus H 1 : σ > 1.45 for the standard deviation in a normally distributed population. The researcher selects a simple random sample of 20 individuals from the population and measures their standard deviation as s = 1.57.

Find the test statistic: (round to 3 decimal places)

χ 0 2 =

Find the critical value(s) for a 0.01 significance level: (round to 3 decimal places)

χ α 2 =

Does the researcher reject or not reject the null hypothesis?

A) Reject, since the test statistic is smaller than the critical value in a left-tailed test.

B) Reject, since the test statistic is larger than the critical value in a right-tailed test.

C) Does not reject, since the test statistic is smaller than the critical value in a right-tailed test.

D) Does not reject, since the test statistic is larger than the critical value in a left-tailed test.

E) None of the above.

Answer 1