Question: With reference to Example 14.4, use the theory of Exercise 14.22 to test the null hypothesis Î± = 21.50 against the alternative hypothesis Î± 21.50

With reference to Example 14.4, use the theory of Exercise 14.22 to test the null hypothesis Î± = 21.50 against the alternative hypothesis Î± ‰ 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 nˆ‘2/Ïƒ2 are independent to show that

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

( - a)nSx Sxr+

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