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Confidence Interval, Sample size & Regression Equation

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1
How do I find the 98% confidence interval for the mean of the following sample of 10:
91, 82, 66, 94, 110, 80, 90, 75, 88, 84

2
2. A farmer wanted to test a new diet on his pigs and he wanted to be 99% confident that the average weight gain would be within 2 pounds. The standard deviation is 16.5
How many pigs should go on the diet?

3.
Sample data was collected from 9 random math majors. GPA (x) and starting salary (in thousands) y is given. find y (estimator of y) when x = 2.7.

GPA (x) 2.7 3.6 3.5 3.0 2.5 2.5 2.3 3.2 3.1
Salary (y) 25.5 27.5 28 26.2 22.4 24 20.7 26.5 25

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Solution Summary

The solution provides step by step method for the calculation of confidence interval, sample size and regression equation. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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3 simple questions
1
How do I find the 98% confidence interval for the mean of the following sample of 10:
91, 82, 66, 94, 110, 80, 90, 75, 88, 84
Answer
98% confidence interval is given by
Confidence Interval Estimate for the Mean

Data
Sample Standard Deviation 11.84154645
Sample Mean 86
Sample Size 10
Confidence Level 98%

Intermediate Calculations
Standard ...

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