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Student Solutions Manual Applied Statistics and Probability for Engineers, Fifth Edition by Douglas C. Montgomery, George C. Runger

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CHAPTER 6

Section 6-1

6-1.      No, usually not. For example if the sample is {2, 3} the mean is 2.5 which is not an observation in the sample.

6-3.      No, usually not. For example, the mean of {1, 4, 4} is 3 which is not even an observation in the sample.

6-5.      Yes. For example, {5, 5, 5, 5, 5, 5, 5}, the sample mean = 5, sample standard deviation = 0

6-7.      Sample average:

Image

Sample variance:

Image

Sample standard deviation:

Image

The sample standard deviation could also be found using

Image

Dot Diagram:

Image

There appears to be a possible outlier in the data set.

6-9.      Sample average:

Image

Sample variance:

Image

Sample standard deviation:

Image

The sample standard deviation could also be found using

where

Dot ...

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