# Question

With reference to Example 14.4, use the theory of Exercise 14.22 to test the null hypothesis α = 21.50 against the alternative hypothesis α ≠ 21.50 at the 0.01 level of significance.

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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