## [answered] Assignment: Samples and Prediction Investigation The data s

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Assignment: Samples and Prediction Investigation

The data shows the length of each of the 12 games of Quest of Modnar that Jeremy has played

this week.

Game #

Game

Time

(minutes) 1 2 3 4 5 6 7 8 9 10 11 12 8 14 11 9 7 12 11 9 8 17 10 12 1. Calculate the mean game time of the population consisting of all the games Jeremy has

played this week. You can use a table of random numbers or a random number generator to create random

samples. Also, you can obtain random samples directly using wolframalpha.com. For example,

typing in RandomSample[{1,2,3,4,5},2] will give you a sample of size 2 from the list {1,2,3,4,5}. A

sample result is {1,5}. Refreshing the page will generate a new random sample of size 2.

2. Create five random samples of size two from the population. Record the game times for

the samples and calculate the mean game time of each sample.

Sample List of Game Times in Sample Mean Game Time for Sample 1

2

3

4

5 3. Create 5 random samples of size 11 from the population. Record the game times for the

samples and calculate the mean game time of each sample.

Sample List of Game Times in Sample 1

2

3

4

5

? K12 Inc.

AV011413 Mean Game Time for Sample 4. Describe how you obtained the random samples shown in the tables above. 5. Create two clearly labeled dot plots. One for the mean game times of the sample of size

2, and one for the mean game times of the samples of size 11. 6. Are the random samples representative of the population mean? Support your answer

using the data and/or dot plot. 7. What effect did increasing the sample size have on how representative the samples were

of the population mean? ? K12 Inc.

AV011413

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