# Question: With reference to Exercise 14 43 use the theory of Exercise

With reference to Exercise 14.43, use the theory of Exercise 14.22 to construct a 99% 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.

## Relevant Questions

With reference to Exercise 3.71 on page 100, find an expression for µY|x. The following are loads (grams) put on the centers of like plastic rods with the resulting deflections (cm). (a) Use an appropriate computer program to fit a straight line to these data. (b) Using the 0.95 level of ...The calculation of r can often be simplified by adding the same constant to each x, adding the same constant to each y, or multiplying each x and/or y by the same positive constants. Recalculate r for the data of Example ...Given the joint density Show that µY|x = 23(1 – x) and verify this result by deter-mining the values of µ1, µ2, s1, s2, and ρ and by substituting them into the first formula of Theorem 14.1. Prove Theorem 15.4. Theorem 15.4 Where T·j is the total of the values obtained for the jth block, T.. is the grand total of all nk observations, and Is the correction term.Post your question