A Z score is one type of standard score.
Z = (score-mean)/standard deviation
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.
a set of data is normally distributed with a mean of 500 and a standard deviation of 100.
a) what would the standard score fora score of 700 be?
b) what % of scores is between 500 and 700?
c) what would the percentile rank for a score of 700
*please show and answer all questions a-c. i have been trying to work out problems for hours now i am just frustrated and ready to cry. thank you.
mary
2 answers
AJ DAVIS is a department store chain, which has many credit customers and wants to find out more information about these customers. A sample of 50 credit customers is selected with data collected on the following five variables:
LOCATION (Rural, Urban, Suburban)
INCOME (in $1,000's – be careful with this)
SIZE (Household Size, meaning number of people living in the household)
YEARS (the number of years that the customer has lived in the current location)
CREDIT BALANCE (the customers current credit card balance on the store's credit card, in $).
The data appears below, and is available in Doc Sharing Course Project Data Set as an EXCEL file:
LOCATION
INCOME($1000)
SIZE
YEARS
CREDIT BALANCE($)
Urban
54
3
12
4016
Rural
30
2
12
3159
Suburban
32
4
17
5100
Suburban
50
5
14
4742
Rural
31
2
4
1864
Urban
55
2
9
4070
Rural
37
1
20
2731
Urban
40
2
7
3348
Suburban
66
4
10
4764
Urban
51
3
16
4110
Urban
25
3
11
4208
Urban
48
4
16
4219
Rural
27
1
19
2477
Rural
33
2
12
2514
Urban
65
3
12
4214
Suburban
63
4
13
4965
Urban
42
6
15
4412
Urban
21
2
18
2448
Rural
44
1
7
2995
Urban
37
5
5
4171
Suburban
62
6
13
5678
Urban
21
3
16
3623
Suburban
55
7
15
5301
Rural
42
2
19
3020
Urban
41
7
18
4828
Suburban
54
6
14
5573
Rural
30
1
14
2583
Rural
48
2
8
3866
Urban
34
5
5
3586
Suburban
67
4
13
5037
Rural
50
2
11
3605
Urban
67
5
1
5345
Urban
55
6
16
5370
Urban
52
2
11
3890
Urban
62
3
2
4705
Urban
64
2
6
4157
Suburban
22
3
18
3579
Urban
29
4
4
3890
Suburban
39
2
18
2972
Rural
35
1
11
3121
Urban
39
4
15
4183
Suburban
54
3
9
3730
Suburban
23
6
18
4127
Rural
27
2
1
2921
Urban
26
7
17
4603
Suburban
61
2
14
4273
Rural
30
2
14
3067
Rural
22
4
16
3074
Suburban
46
5
13
4820
Suburban
66
4
20
5149
PROJECT PART A: Exploratory Data Analysis
Open the file MATH533 Project Consumer.xls from the Course Project Data Set folder in Doc Sharing.
For each of the five variables, process, organize, present and summarize the data. Analyze each variable by itself using graphical and numerical techniques of summarization. Use MINITAB as much as possible, explaining what the printout tells you. You may wish to use some of the following graphs: stem-leaf diagram, frequency/relative frequency table, histogram, boxplot, dotplot, pie chart, bar graph. Caution: not all of these are appropriate for each of these variables, nor are they all necessary. More is not necessarily better. In addition be sure to find the appropriate measures of central tendency, and measures of dispersion for the above data. Where appropriate use the five number summary (the Min, Q1, Median, Q3, Max). Once again, use MINITAB as appropriate, and explain what the results mean.
Analyze the connections or relationships between the variables. There are ten pairings here (Location and Income, Location and Size, Location and Years, Location and Credit Balance, income and Size, Income and Years, Income and Balance, Size and Years, Size and Credit Balance, Years and Credit Balance). Use graphical as well as numerical summary measures. Explain what you see. Be sure to consider all 10 pairings. Some variables show clear relationships, while others do not.
Prepare your report in Microsoft Word (or some other word processing package), integrating your graphs and tables with text explanations and interpretations. Be sure that you have graphical and numerical back up for your explanations and interpretations. Be selective in what you include in the report. I'm not looking for a 20 page report on every variable and every possible relationship (that's 15 things to do). Rather what I want you do is to highlight what you see for three individual variables (no more than 1 graph for each, one or two measures of central tendency and variability (as appropriate), and two or three sentences of interpretation). For the 10 pairings, identify and report only on three of the pairings, again using graphical and numerical summary (as appropriate), with interpretations. Please note that at least one of your pairings must include Location and at least one of your pairings must not include Location.
All DeVry University policies are in effect, including the plagiarism policy.
Project Part A report is due by the end of Week 2.
Project Part A is worth 100 total points. See grading rubric below.
Submission: The report from part 4 including all relevant graphs and numerical analysis along with interpretations.
Format for report:
Brief Introduction
Discuss your 1st individual variable, using graphical, numerical summary and interpretation
Discuss your 2nd individual variable, using graphical, numerical summary and interpretation
Discuss your 3rd individual variable, using graphical, numerical summary and interpretation
Discuss your 1st pairing of variables, using graphical, numerical summary and interpretation
Discuss your 2nd pairing of variables, using graphical, numerical summary and interpretation
Discuss your 3rd pairing of variables, using graphical, numerical summary and interpretation
Conclusion
Project Part A: Grading Rubric
Category Points % Description
Three Individual Variables - 12pts. each 36 36 graphical analysis, numerical analysis (when appropriate) and interpretation
Three Relationships - 15 pts. each 45 45 graphical analysis, numerical analysis (when appropriate) and interpretation
Communication Skills 19 19 writing, grammar, clarity, logic, cohesiveness, adherence to the above format
Total 100 100 A quality paper will meet or exceed all of the above requirements
LOCATION (Rural, Urban, Suburban)
INCOME (in $1,000's – be careful with this)
SIZE (Household Size, meaning number of people living in the household)
YEARS (the number of years that the customer has lived in the current location)
CREDIT BALANCE (the customers current credit card balance on the store's credit card, in $).
The data appears below, and is available in Doc Sharing Course Project Data Set as an EXCEL file:
LOCATION
INCOME($1000)
SIZE
YEARS
CREDIT BALANCE($)
Urban
54
3
12
4016
Rural
30
2
12
3159
Suburban
32
4
17
5100
Suburban
50
5
14
4742
Rural
31
2
4
1864
Urban
55
2
9
4070
Rural
37
1
20
2731
Urban
40
2
7
3348
Suburban
66
4
10
4764
Urban
51
3
16
4110
Urban
25
3
11
4208
Urban
48
4
16
4219
Rural
27
1
19
2477
Rural
33
2
12
2514
Urban
65
3
12
4214
Suburban
63
4
13
4965
Urban
42
6
15
4412
Urban
21
2
18
2448
Rural
44
1
7
2995
Urban
37
5
5
4171
Suburban
62
6
13
5678
Urban
21
3
16
3623
Suburban
55
7
15
5301
Rural
42
2
19
3020
Urban
41
7
18
4828
Suburban
54
6
14
5573
Rural
30
1
14
2583
Rural
48
2
8
3866
Urban
34
5
5
3586
Suburban
67
4
13
5037
Rural
50
2
11
3605
Urban
67
5
1
5345
Urban
55
6
16
5370
Urban
52
2
11
3890
Urban
62
3
2
4705
Urban
64
2
6
4157
Suburban
22
3
18
3579
Urban
29
4
4
3890
Suburban
39
2
18
2972
Rural
35
1
11
3121
Urban
39
4
15
4183
Suburban
54
3
9
3730
Suburban
23
6
18
4127
Rural
27
2
1
2921
Urban
26
7
17
4603
Suburban
61
2
14
4273
Rural
30
2
14
3067
Rural
22
4
16
3074
Suburban
46
5
13
4820
Suburban
66
4
20
5149
PROJECT PART A: Exploratory Data Analysis
Open the file MATH533 Project Consumer.xls from the Course Project Data Set folder in Doc Sharing.
For each of the five variables, process, organize, present and summarize the data. Analyze each variable by itself using graphical and numerical techniques of summarization. Use MINITAB as much as possible, explaining what the printout tells you. You may wish to use some of the following graphs: stem-leaf diagram, frequency/relative frequency table, histogram, boxplot, dotplot, pie chart, bar graph. Caution: not all of these are appropriate for each of these variables, nor are they all necessary. More is not necessarily better. In addition be sure to find the appropriate measures of central tendency, and measures of dispersion for the above data. Where appropriate use the five number summary (the Min, Q1, Median, Q3, Max). Once again, use MINITAB as appropriate, and explain what the results mean.
Analyze the connections or relationships between the variables. There are ten pairings here (Location and Income, Location and Size, Location and Years, Location and Credit Balance, income and Size, Income and Years, Income and Balance, Size and Years, Size and Credit Balance, Years and Credit Balance). Use graphical as well as numerical summary measures. Explain what you see. Be sure to consider all 10 pairings. Some variables show clear relationships, while others do not.
Prepare your report in Microsoft Word (or some other word processing package), integrating your graphs and tables with text explanations and interpretations. Be sure that you have graphical and numerical back up for your explanations and interpretations. Be selective in what you include in the report. I'm not looking for a 20 page report on every variable and every possible relationship (that's 15 things to do). Rather what I want you do is to highlight what you see for three individual variables (no more than 1 graph for each, one or two measures of central tendency and variability (as appropriate), and two or three sentences of interpretation). For the 10 pairings, identify and report only on three of the pairings, again using graphical and numerical summary (as appropriate), with interpretations. Please note that at least one of your pairings must include Location and at least one of your pairings must not include Location.
All DeVry University policies are in effect, including the plagiarism policy.
Project Part A report is due by the end of Week 2.
Project Part A is worth 100 total points. See grading rubric below.
Submission: The report from part 4 including all relevant graphs and numerical analysis along with interpretations.
Format for report:
Brief Introduction
Discuss your 1st individual variable, using graphical, numerical summary and interpretation
Discuss your 2nd individual variable, using graphical, numerical summary and interpretation
Discuss your 3rd individual variable, using graphical, numerical summary and interpretation
Discuss your 1st pairing of variables, using graphical, numerical summary and interpretation
Discuss your 2nd pairing of variables, using graphical, numerical summary and interpretation
Discuss your 3rd pairing of variables, using graphical, numerical summary and interpretation
Conclusion
Project Part A: Grading Rubric
Category Points % Description
Three Individual Variables - 12pts. each 36 36 graphical analysis, numerical analysis (when appropriate) and interpretation
Three Relationships - 15 pts. each 45 45 graphical analysis, numerical analysis (when appropriate) and interpretation
Communication Skills 19 19 writing, grammar, clarity, logic, cohesiveness, adherence to the above format
Total 100 100 A quality paper will meet or exceed all of the above requirements
1 answer