# Question: With reference to Example 14 4 use the theory of Exercise

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.

**View Solution:**## Answer to relevant Questions

The following data show the advertising expenses (expressed as a percentage of total expenses) and the net operating profits (expressed as a percentage of total sales) in a random sample of six drugstores: (a) Fit a least ...Use the theory of Exercises 14.24 and 14.26, as well as the quantities already calculated in Exercise 14.51 for the data of Exercise 14.42, to find (a) A 99% confidence interval for the expected number of deaths in a group ...With reference to Exercise 14.67, use the formula obtained in Exercise 14.31 to construct a 99% confidence interval for ρ. In exercise Formula (a) Use an appropriate computer program to obtain the sample correlation coefficient for the data of Exercise 14.63. (b) Test whether r is significantly different from 0 using the 0.05 level. (a) Use an appropriate computer program to fit a plane to the following data relating the monthly water usage of a production plant (gallons) to its monthly production (tons), mean monthly ambient temperature (°F), and the ...Post your question