MATH 160 San Diego State University Compute the Values Descriptive Statistics Ques

Description

my data set is in the pictures
there is 4 parts of my projectQuestion 1 – Descriptive StatisticsPROMPTDescribe the distribution of credit card debt separated by gender using concepts from Unit 2 (Modules 4-7).Make an appropriate graph and provide appropriate numerical summaries in table form.Describe the shape, center, and spread using numerical measures that best describe the distribution.In your description, include an interval of typical values and a discussion of variability.Embed your StatCrunch graph and any tables with summary statistics in your response.Do the data suggest that males or females are more likely to have higher credit card debt?Use the data to support your answer.Question 2 – Two-Way TablesPROMPTUse StatCrunch to produce a two-way contingency table as we did in Unit 3 (Module 8). Use the row variable gender and column variable class.Copy the table in your StatCrunch output window and paste it in your response.After you paste the content of your StatCrunch output window into your discussion post, keep the table titled Contingency table results, and delete the Chi-Square results.Analyze the data in your two-way table by finding appropriate percentages for each bullet point below. Write each conditional percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g. 25/40 = 62.5%).What percentage of students are females?What percentage of students are males and seniors?What percentage of female students are sophomores?What percentage of first-year students are male?Question 3 – Confidence IntervalsPROMPTOf the students randomly chosen for your data set, what percent of students do not work any amount?Sort the Work column in ascending order to easily find the number of students who do not work and use that value to create a percentage. Watch this short video to learn how to sort the work column (Links to an external site.) in your data set.Use the percentage in part a) to create a 95% confidence interval estimate for the percentage of all college students who do not work. (see concepts in Units 7 & 8 – Modules 17-23)Show your work. You can either use the math-type feature in Microsoft Word to write out your steps or you can take a picture of your handwritten work and paste it into the Word document.Interpret your confidence interval in complete sentences. “We are 95% confident that…”What is the margin of error for the confidence interval you found? What could you do to make the confidence interval more precise/smaller? Explain using complete sentences.Question 4 – Hypothesis TestingPROMPTBased on a recent study of college students, the average student loan debt amount is $4000. Is the mean student loan debt higher at StatCrunchU? Include each of the following in your response (see concepts in Units 7 & 8 – Modules 17-23).State your hypotheses in symbolic form and in words.Verify that normality conditions are met. Which test are you using? Why?Use StatCrunch to conduct the hypothesis test. Copy and paste the results (the StatCrunch output window) into your response.Give your P-value and interpret its meaning.Is the mean student loan debt higher at StatCrunchU? State a conclusion that answers the research question. Use a significance level of 5%.

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StatCrunch Applets
Edit
Data
Stat
My StatCrunch
Row
Class
Hours
Graph’ Help
Work
Loans
28
16585
var 7
var8
var 9
var 10
var11
48
4
8
CC Debt
3200
1244
4165
1
0
0
49
50
51
0
Gender
Male
Female
Female
Male
Female
Male
Female
Female
3
4
0
9966
0
3449
0
52
1
12
1180
53
4
0
0
4888
1274
54
16
15
12
16
15
14
14
16
11
20
15
1
0
0
55
2
0
7433
0
Female
1
0
25
56
57
58
59
60
61
1
2
3
0
0
4118
0
0
16970
12259
1003
1250
0
3793
5583
6017
4
4
0
36.5
19
0
3
12
62
0
63
0
0
3
2
2
2
16
16
12
17
64
Male
Female
Female
Female
Male
Male
Female
Female
Female
Female
Female
Female
Female
Female
Female
Female
20
6938
65
0
0
66
2
1
9
15
67
24
12.5
0
0
2642
3634
2071
2269
1211
2279
4080
1198
0
1081
2
4
0
68
69
70
71
72
8252
3678
8604
15199
3602
7975
0
14
12
14
16
1
2
1
0
15.5
17
0
Graph Help
My StatCrunch
var 7
var8
var9
var 10
var11
Work
26.5
13
0
0
0
0
21.5
17
StatCrunch, Applets Edit Data Stat
Row Gender Class
Hours
26
Male
4
8
27
Male
1
16
28
Female
3
16
29
Male
1
16
30
Female
2
18
31
Male
3
12
32
Female
1
12
33
Female
3
15
34
Female
2
16
35
Male
2
15
36
Female
3
14
37
Male
2
15
38
Female
2
21
39
Male
3
15
40
Female
4
17
41
Female
4
3
42
Male
3
43
Female
4
17
44
Female
2
45
Female
1
12
46
Male
1
18
47
Female
1
16
48
Male
4
8
49
Female
1
16
50
Female
3
15
Loans
15559
5832
12419
1444
0
0
3992
11168
0
0
13498
7796
0
0
18.5
12.5
CC Debt
5005
1286
2652
1624
2267
4509
1071
3961
0
1734
3649
3280
1917
5230
4373
2792
4122
6997
2232
1125
1547
1271
3200
1244
4165
0
0
0
0
0
0
0
0
19.5
0
0
0
0
10512
0
7334
0
2336
0
16585
0
9966
10
28
0
0
StatCrunch, Applets Edit
Data Stat
My StatCrunch
Class
Hours
CC Debt
var 7
var8
var9
var 10
var11
2167
2
4
1 1
2
14
14
17
17
18
Gender
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Male
Male
Female
1
2.
1
1
16
16
16
Graph Help
Work Loans
0
0
18.5 16957
0
0
0
0
0
0
0
0
0
0
12
4404
15.5 15205
0
0
31
0
0
0
20
7084
0
0
Row
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
2820
1897
2521
1265
2325
1738
1239
4177
4073
8541
6499
4047
2914
4
18
3
3
3
16
9
17
12
2
3
14
My StatCrunch
var 7
var 8
var 9
var 10
var11
StatCrunch Applets Edit Data Stat Graph – Help
Row Gender
Class
Hours
Work
Loans
38
Female
2
21
0
0
39
Male
3
15
0
0
40
Female
4
17
0
0
41
Female
4
3
0
0
42
Male
3
11
19.5
10512
43
Female
4
17
0
0
44
Female
2
21
0
7334
45
Female
1
12
0
0
46
Male
1
18
0
2336
47
Female
1
16
10
0
48
Male
4
8
28
16585
49
Female
1
16
0
0
50
Female
3
15
0
9966
51
Male
4
12
0
0
52
Female
1
16
12
3449
53
Male
4
15
0
0
54
Female
1
14
0
0
55
Female
2
14
0
7433
56
Female
1
16
0
0
57
Male
1
11
25
4118
58
Female
2
20
0
0
59
Female
3
15
0
0
60
Female
4
4
36.5
16970
61
Male
3 3
12
19
12259
62
Male
3
16
0
0
CC Debt
1917
5230
4373
2792
4122
6997
2232
1125
1547
1271
3200
1244
4165
0
1180
4888
1274
0
1003
1250
0
3793
5583
6017
0
Edit
Data
Stat Graph
Help
My StatCrunch
Class
Hours
Work
Loans
var 7
var8
var 9
var10
var11
2
4
0
0
0
0
0
2
3
0
12
18
9 9
13
16
14
16
14
1
3
4
0
0
14.5
0
0
0
8
0
26
3929
0
15478
0
14227
0
15
14
StatCrunch Applets
Row Gender
1 Female
2
Female
3
Female
4
Male
5
Female
6
Female
7
Female
8
Female
9
Female
10
Male
11
Male
12
Female
13
Female
14
Male
15
Female
16
Female
17
Male
18
Female
19
Male
20
Male
21
Male
22
Female
23
Female
24
Female
25
Female
2
3
3
1
4
1
3
CC Debt
1767
2384
1917
3763
1112
7022
3670
1959
2900
3423
1612
4808
1149
6942
8406
4969
1565
1698
3185
6449
3984
12
16
14
16
0
18
0
0
3337
0
14537
0
4
25
4
8
14
11
0
30
5003
20
0
0
1
2
3
3
16
0
0
8
19
13
1122
1
3
1
1
2
19.5
0
21
16
9
18
15
11332
3489
0
5682
0
8902
1905
1280
1330
2960
0
13

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Tags:
hypothesis testing

descriptive statistics

Credit card debt

p value

student loan debt amount

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