# Question: With reference to Exercise 14 42 use the theory of Exercise

With reference to Exercise 14.42, use the theory of Exercise 14.22 to construct a 95% confidence interval for a.

In exercise

Use the result of part(b) of exercise 14.20 to show that

Is a value of a random variable having the standard normal distribution. Also, use the first part of Theorem 14.3 and the fact that A and n∑2/σ2 are independent to show that

Is a value of a random variable having the t distribution with n – 2 degrees of freedom.

In exercise

Use the result of part(b) of exercise 14.20 to show that

Is a value of a random variable having the standard normal distribution. Also, use the first part of Theorem 14.3 and the fact that A and n∑2/σ2 are independent to show that

Is a value of a random variable having the t distribution with n – 2 degrees of freedom.

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