Purdue University

### Question Description

Need help with my Statistics question - I’m studying for my class.

Topic: Pennies for Your Thoughts

In many of the problems from last unit, you were given information about the population. For many of the variables, you assumed the variable had a normal distribution. What if the variables you are studying are not normally distributed? Here is your challenge – if the population is not normal, can you make any inferences about that population from your random samples?

As a class last unit, you have created a population of the ages of pennies. Your instructor will share this Penny Population document with you as an Excel file, that will include the histogram, mean, and standard deviation of this population of penny ages. Your instructor will also share a link to the Sampling Form to be used in step 5. See Example and DB starter video in Unit 5 LiveBinder.

Main Post:

1) Describe the distribution __shape of the population__ of penny ages (i.e., left skewed, symmetric, right skewed).

2) On your copy of the Penny Population document, randomly select 5 penny ages from this population. Calculate the mean of this Nickel Sample (sample size n = 5). How does this compare to the population mean?

3) On your copy of the Penny Population document, randomly select 10 penny ages from this population. Calculate the mean of this Dime Sample (sample size n = 10). How does this compare to the population mean?

4) On your copy of the Penny Population document, randomly select 25 penny ages from this population. Calculate the mean of this Quarter Sample (sample size n = 25). How does this compare to the population mean?

5) Enter your Nickel Sample mean, Dime Sample mean, and Quarter Sample mean in the Sampling Form sent by your instructor. It will generate a histogram of the class means for each sample (Nickel Samples, Dime Samples, and Quarter Samples).

6) Copy and paste the class histograms as they look so far for others to review in the discussion.

## Final Answer

Attached.

POPULATION OF PENNY AGES

STUDENTS: RANDOM SA

STUDENTS: POPULATION INFORMATION HERE

Age of Coin

24

11

7

21

5

22

6

21

11

3

14

4

18

14

6

10

16

21

2

2

11

2

17

25

24

11

1

BINS

10

20

30

40

50

60

70

80

90

100

Age of Pennies (Years)

1-10

11-20

21-30

31-40

41-50

51-60

61-70

71-80

81-90

91-100

More

Number of Pennies

352

303

160

26

17

23

26

30

28

34

0

AGE OF PENNIES SUMMARY

Mean

Standard Error

Median

Mode

Standard Deviation

Sample Variance

Kurtosis

Skewness

Range

Minimum

Maximum

Sum

Count

Age of Coins (Years Old) - Population Created

from 1801B

400

350

300

250

200

22.4635

0.7120

16

18

22.5053

506.4874

2.3566

1.7766

99

1

100

22441

999

200

18

11

21

20

9

18

13

19

17

25

12

2

14

3

22

20

22

1

10

2

21

4

1

3

6

6

23

13

13

14

20

18

6

Step 1. Look at table above and write down av

Step 2. Open up the form that was sent by you

Step 3. Click on see previous responses to see

150

100

50

0

1-10

11-20

21-30

31-40

41-50

51-60

61-70

71-80

8...