(b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the san distribution of the sample mean). Write your answers to two decmal places.

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(b)
Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling
distribution of the sample mean). Write your answers to two decimal places.
(c)
Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean.
Population distribution
Sampling distribution of the sample mean
Frequency
Frequency
5-
5.
4
3-
13
2-
1-
0-
9.
Number of push-ups
10
8.5
9.5
10
Sample mean
Transcribed Image Text:(b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. (c) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Frequency Frequency 5- 5. 4 3- 13 2- 1- 0- 9. Number of push-ups 10 8.5 9.5 10 Sample mean
Hans plays a game when he exercises. He chooses a marble from a bag of three marbles: one is blue, one is red, and one is green. Based on the marble he
chooses, he completes a certain number of push-ups, as shown below.
Marble Number of push-ups
blue
red
green
10
Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is u=9.00 and the population standard
deyiation is o =0.82.)
(a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-
ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed.
There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of
push-ups for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean
of the numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values.
Numbers
Index
Sample
of push-
Sample mean, x
ups
blue, blue
8, 8
blue, red
8, 9
3.
blue, green
8, 10
4
red, blue
0.0
red, red
0.0
red, green
0.0
7
green, blue
10, 8
green, red
10,9
green, green
10, 10
Compute
Mean:
Standard deviation:
Explanation
Check
Transcribed Image Text:Hans plays a game when he exercises. He chooses a marble from a bag of three marbles: one is blue, one is red, and one is green. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. Marble Number of push-ups blue red green 10 Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is u=9.00 and the population standard deyiation is o =0.82.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push- ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. Numbers Index Sample of push- Sample mean, x ups blue, blue 8, 8 blue, red 8, 9 3. blue, green 8, 10 4 red, blue 0.0 red, red 0.0 red, green 0.0 7 green, blue 10, 8 green, red 10,9 green, green 10, 10 Compute Mean: Standard deviation: Explanation Check
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