(a)
To find: the critical value and confidence interval for a 90% confidence interval.
(a)
Answer to Problem 10E
Critical value: 1.761
Confidence interval: (0.004243984, 0.012894016)
Explanation of Solution
Given:
Formula used:
The boundaries of the confidence interval
Calculation:
Slope
The calculated standard deviation of the slope
Degree of freedom = 16-2=14
The t-value can be determine in the student’s T distribution table df=14 and column of c= 90%
The boundaries of the confidence interval
(b)
To Explain: the interval from part (a).
(b)
Explanation of Solution
Given:
Calculation:
From part (a)
There are 90 percent confident that the true slope of the regression line of the population is between 0.004243984 and 0.012894016.
(c)
To Explain: the meaning of 90% confident.
(c)
Explanation of Solution
Given:
The 90 percent confidence interval shows the slope of the true regression line. It is also say that 90 percent confidence means that it is predicted about 90 percent of all samples to have a 90 percent confidence interval that is having the true population parameter.
Chapter 12 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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