Concept explainers
(a)
The population mean of 10 players.
(a)
Answer to Problem 27E
Solution: The population mean is
Explanation of Solution
Hence, the population mean is
(b)
The simple random sample of size 3.
(b)
Answer to Problem 27E
Solution: The selected simple random sample is the players numbered 1, 9, and 2.
Explanation of Solution
The sample mean.
Answer to Problem 27E
Solution: The sample mean is
Explanation of Solution
The sample mean of sample observations 1, 9, and 2 is
(c)
The simple random samples of size 3 nine times.
(c)
Answer to Problem 27E
Solution: The simple random samples obtained are
Explanation of Solution
Hence, the table of all the 10 samples obtained is drawn as
The sample mean of the simple random samples drawn above.
Answer to Problem 27E
Solution: The sample mean for each simple random sample is shown in the table below.
Explanation of Solution
The sample means for 10 random samples are computed in a similar way. The table showing calculation for the computation of the sample mean is drawn below:
To graph: The histogram showing the 10 values of sample mean.
Explanation of Solution
Step 1. Enter the data in Minitab classifying the sample mean of 10 samples.
Step 2. Click on Graph in toolbox and click on histogram.
Step 3. Next, choose simple histogram option appearing in the dialog box and click OK.
Step 4. Drag the sample mean appearing on the left side in Graph variables and click on OK..
Graph: The obtained histogram showing the frequency and sample mean is as follows:
(d)
Whether the center of the histogram is close to population mean.
(d)
Answer to Problem 27E
Solution: The center of the histogram is close to population mean.
Explanation of Solution
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Chapter 5 Solutions
Introduction to the Practice of Statistics
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