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

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…

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