Use the formula of exercise 29 to calculate a 95 confidence, Ask an Expert

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Use the formula of Exercise 29 to calculate a 95% confidence interval for β for the numbers of hours studied and the test scores in the table in Section 3 and compare this interval with the one obtained in Example 6.

Exercise 29

Use the formula for t of Exercise 28 to derive the following (1 - α)100% confidence limits for β:

Example 6

With reference to the same data as in Example 5, construct a 95% confidence interval for β.

Example 5

With reference to the data in the table in Section 3 pertaining to the amount of time that 10 persons studied for a certain test and the scores that they obtained, test the null hypothesis β = 3 against the alternative hypothesis β > 3 at the 0.01 level of significance.

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