# 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.

## Relevant Questions

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 following table shows the elongation (in thousandths of an inch) of steel rods of nominally the same composition and diameter when subjected to various tensile forces (in thousands of pounds). (a) Use appropriate ...Given the joint density Show that (a) µY|x = x/2 and µX|y = 1+y / 2; (b) E(XmYn) = 2 / (n + 1)(m + n + 2). Also, (c) verify the results of part (a) by substituting the values of µ1, µ2, σ1, σ2, and ρ, obtained with ...The following are sample data provided by a moving company on the weights of six shipments, the distances they were moved, and the damage that was incurred: (a) Assuming that the regression is linear, estimate β0, β1, and ...For the one-way analysis of variance with a independent samples of size n, show thatPost your question