Question

Open Weight_vs_IQ data.

**SETUP**: Is it reasonable to assume that the IQ
and weight of a person should not be related? Given the data, your
job is to check if this assertion is indeed reasonable or not.
HINT: Read Lecture 24.

**19. What would be the correct
Null-Hypothesis?**

a. IQ and Weight should not be related.

b. The population averages are equal.

c. The slope of the regression line is equal to zero.

d. None of these

**20. The P-value is 0.74. What can be
statistically concluded?**

a. We reject the Null Hypothesis.

b. We accept the Null Hypothesis.

c. We cannot reject the Null Hypothesis.

d. None of these

**21. Write a one-line additional comment.**

a. We cannot conclude that IQ and Weight have different averages.

b. We are confident that IQ and Weight are related.

c. We cannot conclude that IQ and Weight are related.

d. None of these

Weight IQ 88 99 112 103 107 97 112 99 80 100 86 90 103 118 121 79 116 80 82 88 65 82 107 103 100 116 91 112 110 92 113 115 105 100 108 94 90 118 73 106 102 126 99 95 80 119 114 116 90 79 95 92 106 78 86 111 106 80

Answer #1

Solution.

The aim of our problem is to test whether body weight and IQ are related or not i.e. is there any linear relationship between body weight and IQ or not.

So we null hypothesis is always the hypothesis of no difference so

19. Answer is a. Ho : IQ and weight should not be related

20. As we know from the definition of p-value that it is the probability of getting extreme result when Ho is true. Oi in other words p-value provides us the measure in favour of Ho at certain fix value of level of significance. i.e. if p value is greater than .05 or .10 we do not rejecte the null hypothesis.

Here p= 0.74 therefore we do not rejecte the null hypothesis.

Answer is b. We accept the null hypothesis.

21. Since the null hypothesis is accepted we conclude that IQ and body weight are not related. So the answer is

c. We cannot conclude that IQ and weight are related.

Problem: The IQ test scores of 45 seventh-grade girls
in a Midwest school district are below.
111
107 100
107 115
111
97
112
104
106 113
109 113
128 128
118
113 124
127 136
106 123
124
126
116 127
119
97
102 110
120
103 115
93
123
79
119 110
110
107 105
105 110
77 90
Here are the IQ test scores of 30 seventh-grade boys in the same
school district. Is there good evidence...

We are interested in the mean IQ score of seventh-grade girls in
a Midwest school district. Here are the scores for 31 randomly
selected seventh-grade girls in the district:
114 100 104 89 102 91 114 114 103 105
108 130 120 132 111 128 118 119 86 72
111 103 74 112 107 103 98 96 112 112 93
These scores follow a Normal distribution with standard deviation σ
= 15. Treat these 31 girls as an SRS of...

Taxpayer
Form 1
Form 2
Form 3
Form 4
1
109
115
126
120
2
98
103
107
108
3
29
27
53
38
4
93
95
103
109
5
62
65
67
64
6
103
107
111
128
7
83
82
101
116
8
122
119
141
143
9
92
101
105
108
10
107
113
127
113
11
103
111
111
108
12
54
64
67
62
13
141
145
142
160
14
92
94
95
102
15...

please answer ALL the question
1--The diastolic blood pressure (in mm Hg) of 84 patients with
hypertension was:
88 98 78 84 77 81 90 82 75 72 92 85 92 77 84 77 82 100
92 88 74 80 95 90 87 80 83 77 86 80 88 90 79 82 93 100
80 85 96 85 90 84 82 95 88 97 80 88 94 92 88 96 90 103
88 86 84 90 98 88 86 95...

For the Spurs
basketball team, scores for the last 50 games since 01/02/2018 game
are listed below. By using only scores with two digits, construct a
stem and leaf plot for the data:
100
106
103
110
107
81
112
99
100
83
86
114
108
78
113
106
91
111
129
105
99
109
119
110
116
112
100
107
94
93
108
98
117
89
98
124
103
106
103
100
110
112
116
98
98
92
101...

Open Three Hospitals data. SETUP: It is
believed that the number of injuries recorded in hospital 1 is
different from the number of injuries recorded in hospital 2. Given
the data your job is to confirm or disprove this assertion.
10. What test/procedure did you perform? (4
points)
a. Regression
b. Two sided t-test
c. One sided t-test
d. Confidence Interval
11. What is the statistical interpretation? (4
points)
a. Average of data is inconsistent with the claim
b. P-value...

Ten randomly selected people took an IQ test A, and next day
they took a very similar IQ test B. Their scores are shown in the
table below.
Person
A
B
C
D
E
F
G
H
I
J
Test A
82
101
94
105
111
88
99
123
118
79
Test B
84
100
93
111
114
92
101
125
116
79
Consider (Test A - Test B). Use a 0.05 significance level to
test the claim that people...

n=40 samples of IQ
85, 94, 97, 86, 86, 107, 91, 99, 115, 50, 93, 98, 100, 94, 73,
76, 72, 76, 95, 89, 96, 108, 74, 72, 90, 100, 91, 98, 91, 85, 97,
91, 78, 82, 93, 89, 94, 88, 83, 76
1) Construct a histogram of the IQ data from your sample.
Describe the shape of the histogram and write a sentence or two
detailing what the histogram seems to tell you.

Please interpret and compare the results of these two
data sets in detail. Which form is completed in a shorter amount of
time? Please explain in depth.
background: The new forms were filled out by 30 different
people. The amount of time (in minutes) taken by each person to
complete the task was recorded.
Form 2
Form 3
115
126
103
107
27
53
95
103
65
67
107
111
82
101
119
141
101
105
113
127
111
111...

Consider the following IQ data obtained from a sample of 25
incarcerated youth. Convert the 25 raw adjustment scores to
standardized scores. Show work for at least one of the 25 scores.
(Hint: You need to calculate the mean and SD first!) (4pts
for entire column) *For this question, only TWO decimal
places are required.
ID: 1, 2, 3, 4, 5, 6 , 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
18, 19, 20, 21, 22, 23,...

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