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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 ? 2Sample Variance = s2x = 25Sample Size = n = 16Significance level = ? = 1 ? 0.95 = 0.05(n ? 1)s2follows chi-squared with (n ? 1) degrees of freedom,?22? P…