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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.

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