NAME:



NAME: ____________________________ Activity 5.2

1) Get the program “YES” from Mrs. McNelis. This program will generate one of two answers: YES or NO.

2) We are interested in the true percent of YES answers.

3) You will be taking samples of size 10. Run the program 10 times, and tally the YES and NO answers in the first chart below. Then calculate the [pic](the sample proportion of YES answers) as a decimal. Repeat 8 times.

[pic] [pic] [pic] [pic]

[pic]= _________ [pic]= ___________ [pic]= ____________ [pic]= ____________

[pic] [pic] [pic] [pic]

[pic]= _________ [pic]= ___________ [pic]= ____________ [pic]= ____________

4) What is your average[pic]? ____________

5) Record all 8 of your [pic] numbers on the board. BE SURE TO RECORD YOUR DATA IN THE RIGHT SPOT.

6) You will now be taking samples of size 30. Run the program 30 times, and tally the YES and NO answers in the first chart below. Then calculate the [pic](the sample proportion of YES answers) as a decimal. Repeat 8 times.

[pic] [pic] [pic] [pic]

[pic]= _________ [pic]= ___________ [pic]= ____________ [pic]= ____________

[pic] [pic] [pic] [pic]

[pic]= _________ [pic]= ___________ [pic]= ____________ [pic]= ____________

7) What is your average[pic]? ____________

8) Record all 8 of your [pic] numbers on the board. BE SURE TO RECORD YOUR DATA IN THE RIGHT SPOT.

9) Enter the class data FOR SAMPLE SIZE 10 into your calculator in a list.

10) Create a histogram of this sample’s class data below. Use an Xmin = 0, Xmax = 1, and Xscl = 0.1 for the window. Then calculate the average and standard deviation.

[pic]

[pic]

11) Enter the class data FOR SAMPLE SIZE 30 into your calculator in a list.

12) Create a histogram of this sample’s class data below. Use an Xmin = 0, Xmax = 1, and Xscl = 0.1 for the window. You can change the numbers on the y-axis of the graph below if they do not work for our data. Then calculate the average and standard deviation.

[pic]

[pic]

13) What do you think the true percent is? (the true percent of times the program will say YES)?

14) Comment on the differences between the two histograms (sample size 10 and 30). Note that both plots are created on the same scale for easy comparison. What are the major differences? How does the sample size affect the plots?

15) The calculator is set to say “YES” _________% of the time (Mrs. McNelis will tell you the true percent). Which sample size (10 or 30) does a better job of estimating the true proportion? Why do you think this is so?

16) What do these two plots show us about sampling variability?

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