A machine produces metal rods used in an automobile

Chapter 8, Problem 40E

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QUESTION:

A machine produces metal rods used in an auto-mobile 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                8.28                8.24

(a) Check the assumption of normality for rod diameter.

(b) Calculate a 95% two-sided confidence interval on mean rod diameter.

(c) Calculate a 95% upper confidence bound on the mean. Compare this bound with the upper bound of the two-sided confidence interval and discuss why they are different.

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QUESTION:

A machine produces metal rods used in an auto-mobile 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                8.28                8.24

(a) Check the assumption of normality for rod diameter.

(b) Calculate a 95% two-sided confidence interval on mean rod diameter.

(c) Calculate a 95% upper confidence bound on the mean. Compare this bound with the upper bound of the two-sided confidence interval and discuss why they are different.

ANSWER:

Step 1 of 5

(a)

To check whether the normality for rod diameter. We need to construct a normal probability plot. If the points in the probability plot form a line or lie closer to the line drawn approximately between the 25th and 75th percentile points, then we can say that the data is normally distributed.

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