Project 4 - CorrelationAssume that your sample(s) comes from a normally distributed population. Please show all work. State the null hypothesis and alternative hypothesis. State your decision in terms of the null hypothesis and the alpha level. State your results in standard APA format. 1. What, if any relationship, exists between self-reported height for females and self-reported weight for the same female participants?Write a null and an alternative hypothesis for this research question (you may want to review Example 15.7 and Example 15.8 on page 508).Determine the relationship between the two measures for this sample (calculate r).Discuss and interpret the relation strength and direction indicated by this statistic.Test your hypothesis.Report your decision. Then, report your results using standard APA format (see page 509 in your text). 2. Is there a relationship between self-reported major and self-reported IQ in the sample?Write a null and an alternative hypothesis for this research (you may want to review “Testing the Significance of the Spearman Correlation” on page 515).Develop a Table showing X and Y for each of your n = 60 participants (see Example 15.11 on page 513).Determine the relationship between the self-reported measures of major and IQ (calculate r remembering you now have 60 scores).Test your hypothesis.Report your decision then report your results using standard APA format (see page 509 in your text).Please only answer question 2 and its bullets under Participant GenderHeight67.00WeightMajorBiologyBiologyBiologyBiologyBiologyBiologyIQ1F1651153F64.001301105F66.00140113F67.001501257F62.001001059F65.0011012013F63.00BiologyBiologyBiologyBiologyBiology14510715F62.0013011416F63.0014011517F63.0013510618F63.0014512419F64.00BiologyBiologyBiologyBiologyBiologyBiologyBiology18011020F64.0017012021F63.0014011022F63.0011013523F61.001109525F61.0011513826F66.0012010229F64.00145BiologyBiologyMedical Imaging12432F70.001701198F66.0014011011F62.00150Medical Imaging13035F65.00140Nursing11536F64.00135Nursing12037F66.00155NursingNursing11038F67.0016011734F63.00PhilosophyPsychologyPsychologyPsychologyBioinformatics12512124F63.0013511527F68.0019010328F65.0014012714M70.0017511674.00BiologyBiologyBiology1751204M70.0019011731M72.0017511150M68.00155Biology11551M71.00BiologyBiology20510656M70.001701355969.00170Biology13860M70.00Biology190 Integrated Science Studies17510210M69.0010039M67.00135Nursing1134065.00175Nursing12541M64.00150Nursing10542M70.00200NursingNursing11043M66.0016012030M67.00PsychologyPsychologyPsychology13510633M75.0021010944M73.002101004572.00185PsychologyPsychologyPsychologyPsychologyPsychology13046M76.0021512347M69.0014510748M70.0017511649M70.0020011454M65.00135PsychologyPsychologyPsychologyPsychology12055M72.0018011057M72.001959558M71.0016511512M68.00160Social Science12352M72.00190Social Work1245368.00180Social Work110Мean1.203.172.07Sum3959.209338.176797.07 Females OnlyPlan to AttendGraduate SchoolParticipant GenderHeight67.00WeightYes1.F165YesF64.00130YesF66.00140No6.67.00150Yes7F62.00100Yes9.65.00110Yes13F63.00145Yes15F62.00130No16F63.00140Yes1763.00135Yes18F63.00145Yes1964.00180Yes20F64.00170Yes21F63.00140No22F63.00110Yes23F61.00110Yes25F61.00115Yes26F66.00120Yes29F64.00145Yes32F70.00170No8.F66.00140No11F62.00150No35F65.00140No36F64.00135No37F66.00155No38F67.00160Yes34F63.00125No24F63.00135No27F68.00190Yes28F65.00140Yes1930.004220YesMean =64.33140.67YesYesNoYesYesYesNoNoNoYesNoNoNoNoNoNoYesNoNoNoNoYesNoNoNoNoYesYes

Answered: Project 4 - Correlation Assume that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Project 4 - Correlation

Assume that your sample(s) comes from a normally distributed population.

Please show all work. State the null hypothesis and alternative hypothesis. State your decision in terms of the null hypothesis and the alpha level. State your results in standard APA format.

1. What, if any relationship, exists between self-reported height for females and self-reported weight for the same female participants?

Write a null and an alternative hypothesis for this research question (you may want to review Example 15.7 and Example 15.8 on page 508).
Determine the relationship between the two measures for this sample (calculate r).

Discuss and interpret the relation strength and direction indicated by this statistic.
Test your hypothesis.
Report your decision. Then, report your results using standard APA format (see page 509 in your text).

2. Is there a relationship between self-reported major and self-reported IQ in the sample?

Write a null and an alternative hypothesis for this research (you may want to review “Testing the Significance of the Spearman Correlation” on page 515).
Develop a Table showing X and Y for each of your n = 60 participants (see Example 15.11 on page 513).
Determine the relationship between the self-reported measures of major and IQ (calculate r remembering you now have 60 scores).
Test your hypothesis.
Report your decision then report your results using standard APA format (see page 509 in your text).
Please only answer question 2 and its bullets under

Participant Gender
Height
67.00
Weight
Major
Biology
Biology
Biology
Biology
Biology
Biology
IQ
1
F
165
115
3
F
64.00
130
110
5
F
66.00
140
113
F
67.00
150
125
7
F
62.00
100
105
9
F
65.00
110
120
13
F
63.00
Biology
Biology
Biology
Biology
Biology
145
107
15
F
62.00
130
114
16
F
63.00
140
115
17
F
63.00
135
106
18
F
63.00
145
124
19
F
64.00
Biology
Biology
Biology
Biology
Biology
Biology
Biology
180
110
20
F
64.00
170
120
21
F
63.00
140
110
22
F
63.00
110
135
23
F
61.00
110
95
25
F
61.00
115
138
26
F
66.00
120
102
29
F
64.00
145
Biology
Biology
Medical Imaging
124
32
F
70.00
170
119
8
F
66.00
140
110
11
F
62.00
150
Medical Imaging
130
35
F
65.00
140
Nursing
115
36
F
64.00
135
Nursing
120
37
F
66.00
155
Nursing
Nursing
110
38
F
67.00
160
117
34
F
63.00
Philosophy
Psychology
Psychology
Psychology
Bioinformatics
125
121
24
F
63.00
135
115
27
F
68.00
190
103
28
F
65.00
140
127
14
M
70.00
175
116
74.00
Biology
Biology
Biology
175
120
4
M
70.00
190
117
31
M
72.00
175
111
50
M
68.00
155
Biology
115
51
M
71.00
Biology
Biology
205
106
56
M
70.00
170
135
59
69.00
170
Biology
138
60
M
70.00
Biology
190 Integrated Science Studies
175
102
10
M
69.00
100
39
M
67.00
135
Nursing
113
40
65.00
175
Nursing
125
41
M
64.00
150
Nursing
105
42
M
70.00
200
Nursing
Nursing
110
43
M
66.00
160
120
30
M
67.00
Psychology
Psychology
Psychology
135
106
33
M
75.00
210
109
44
M
73.00
210
100
45
72.00
185
Psychology
Psychology
Psychology
Psychology
Psychology
130
46
M
76.00
215
123
47
M
69.00
145
107
48
M
70.00
175
116
49
M
70.00
200
114
54
M
65.00
135
Psychology
Psychology
Psychology
Psychology
120
55
M
72.00
180
110
57
M
72.00
195
95
58
M
71.00
165
115
12
M
68.00
160
Social Science
123
52
M
72.00
190
Social Work
124
53
68.00
180
Social Work
110
Мean
1.20
3.17
2.07
Sum
3959.20
9338.17
6797.07

Females Only
Plan to Attend
Graduate School
Participant Gender
Height
67.00
Weight
Yes
1.
F
165
Yes
F
64.00
130
Yes
F
66.00
140
No
6.
67.00
150
Yes
7
F
62.00
100
Yes
9.
65.00
110
Yes
13
F
63.00
145
Yes
15
F
62.00
130
No
16
F
63.00
140
Yes
17
63.00
135
Yes
18
F
63.00
145
Yes
19
64.00
180
Yes
20
F
64.00
170
Yes
21
F
63.00
140
No
22
F
63.00
110
Yes
23
F
61.00
110
Yes
25
F
61.00
115
Yes
26
F
66.00
120
Yes
29
F
64.00
145
Yes
32
F
70.00
170
No
8.
F
66.00
140
No
11
F
62.00
150
No
35
F
65.00
140
No
36
F
64.00
135
No
37
F
66.00
155
No
38
F
67.00
160
Yes
34
F
63.00
125
No
24
F
63.00
135
No
27
F
68.00
190
Yes
28
F
65.00
140
Yes
1930.00
4220
Yes
Mean =
64.33
140.67
Yes
Yes
No
Yes
Yes
Yes
No
No
No
Yes
No
No
No
No
No
No
Yes
No
No
No
No
Yes
No
No
No
No
Yes
Yes

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Project 4 - Correlation Assume that your sample(s) comes from a normally distributed population. Please show all work. State the null hypothesis and alternative hypothesis. State your decision in terms of the null hypothesis and the alpha level. State