Question 6 Please show the work step by step to make it understandable.

Question 6   Please show the work step by step to make it understandable.

A random sample of 16 students showed that the variance in the number of hours they spend studying for a final exam was 25 hours2

Part..a.

Construct a 95% confidence interval for the population variance and standard deviation of hours spent studying. Assume the population of hours spent studying is normally distributed.

Part b.

Test, at the 5% level of significance, whether the population standard deviation of hours spent studying is less than 10. Use the critical value approach.

95% CI for σ 2Sample Variance = s2x = 25Sample Size = n = 16Significance level = α = 1 − 0.95 = 0.05(n − 1)s2follows chi-squared with (n − 1) degrees of freedom,σ22⇒ P...