Mathematics
Purdue University Pennies for Your Thoughts Worksheet

Purdue University

### Question Description

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

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.

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

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...

University of Maryland
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