A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows:8.24, 8.25, 8.20, 8.23, 8.24, 8.21, 8.26, 8.26, 8.20, 8.25, 8.23, 8.23, 8.19, 8.19, 8.24. You have to find a 95% two-sided confidence interval on mean rod diameter. What is the upper value of the 95% CI of mean rod diameter? Please report your answer to 3 decimal places.

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Asked Jul 31, 2019
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A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows:
8.24, 8.25, 8.20, 8.23, 8.24, 8.21, 8.26, 8.26, 8.20, 8.25, 8.23, 8.23, 8.19, 8.19, 8.24. 
You have to find a 95% two-sided confidence interval on mean rod diameter. What is the upper value of the 95% CI of mean rod diameter? Please report your answer to 3 decimal places.
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Expert Answer

Step 1

In this question We have the diameter of 15 metal rod, we have to find the 95% confidence interval for meter diameter.

Step 2

Here, we have calculated the mean and stan...

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(x-F x (x-x) _ 8.2400 0.0120 0.00014 0.00048 8.2500 0.0220 8.2000 -0.0280 0.00078 0.00000 8.2300 0.0020 0.0120 8.2400 0.00014 0.0180 0.00032 8.2100 8.2600 0.0320 0.00102 0.00102 8.2600 0.0320 0.0280 8.2000 0.00078 8.2500 0.0220 0.00048 8.2300 0.0020 0.00000 8.2300 0.0020 0.00000 8.1900 -0.0380 0.00144 0.00144 8.1900 0.0380 8.2400 0.0120 0.00014 123.4200 0.00824 Standard Deviation = (x -F) n-1 Mean = n 123.42 0.00824 15 14 8.228 0.02426

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