Mr. Miller gave a 5-point quiz to a small class of two students. The students' names and quiz scores are given below. Name Score Hong 4 Laura Consider these two students to be a population. (The population mean of their scores is µ=4.50 and the population standard deviation of their scores is o = 0.50.)

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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Mr. Miller gave a 5-point quiz to a small class of two students. The students' names and quiz scores are given below.
Name Score
Hong
4
Laura
Consider these two students to be a population. (The population mean of their scores is µ=4.50 and the population standard deviation of their scores is
o = 0.50.)
Transcribed Image Text:Mr. Miller gave a 5-point quiz to a small class of two students. The students' names and quiz scores are given below. Name Score Hong 4 Laura Consider these two students to be a population. (The population mean of their scores is µ=4.50 and the population standard deviation of their scores is o = 0.50.)
Suppose a sample of size 3 is randomly selected from the population, with replacement, as follows. One student is randomly selected, their score is
recorded, and the student is put back into the "pool" to be chosen from. Then for a second time a student is randomly selected, their score is recorded,
and the student is put back into the pool. Finally, for a third time a student is randomly selected and their score is recorded. There are 8 possible samples.
The scores for several of the possible samples have been listed in the table below. Enter the scores for the remaining possible samples. When you are
(a)
done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the scores for each sample, along with the mean and
standard deviation of all the column's values.
Index
Sample
Scores
Sample mean, x
1
Hong, Hong, Hong
4, 4, 4
2
Hong, Hong, Laura
4, 4, 5
3
Hong, Laura, Hong
4, 5, 4
I, 1, I
O, 0, 0
4
Hong, Laura, Laura
5
Laura, Hong, Hong
6.
Laura, Hong, Laura
5, 4, 5
7
Laura, Laura, Hong
5, 5, 4
8
Laura, Laura, Laura
5, 5, 5
Compute
Mean:
Standard deviation:
Transcribed Image Text:Suppose a sample of size 3 is randomly selected from the population, with replacement, as follows. One student is randomly selected, their score is recorded, and the student is put back into the "pool" to be chosen from. Then for a second time a student is randomly selected, their score is recorded, and the student is put back into the pool. Finally, for a third time a student is randomly selected and their score is recorded. There are 8 possible samples. The scores for several of the possible samples have been listed in the table below. Enter the scores for the remaining possible samples. When you are (a) done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the scores for each sample, along with the mean and standard deviation of all the column's values. Index Sample Scores Sample mean, x 1 Hong, Hong, Hong 4, 4, 4 2 Hong, Hong, Laura 4, 4, 5 3 Hong, Laura, Hong 4, 5, 4 I, 1, I O, 0, 0 4 Hong, Laura, Laura 5 Laura, Hong, Hong 6. Laura, Hong, Laura 5, 4, 5 7 Laura, Laura, Hong 5, 5, 4 8 Laura, Laura, Laura 5, 5, 5 Compute Mean: Standard deviation:
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