Question
Are you smarter than your older brother? In a study of birth order and intelligence, IQ...
Are you smarter than your older brother? In a study of birth order and intelligence, IQ tests were given to 18- and 19-year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and of secondborn sons. The following data for 10 firstborn sons and 10 second born sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal.
|
||||||||||||||||
|
||||||||||||||||
(a) Construct a 99% confidence interval for the difference in mean IQ between firstborn and secondborn sons. Let μ1 denote the mean IQ of the firstborn sons. Use the table.
(b) Based on the confidence interval, is it reasonable to believe that firstborn sons and secondborn sons may have the same mean IQ?
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
Are you smarter than your older brother? In a study of birth order and intelligence, IQ...
Are you smarter than your older brother? In a study of birth
order and intelligence, IQ tests were given to 18- and 19-year-old
men to estimate the size of the difference, if any, between the
mean IQs of firstborn sons and secondborn sons. The following data
for 10 firstborn sons and 10 secondborn sons are consistent with
the means and standard deviations reported in the article. It is
reasonable to assume that the samples come from populations that
are approximately...
In a study of birth order and intelligence, IQ tests were given to 18 and 19...
In a study of birth
order and intelligence, IQ tests were given to 18 and 19 year old
men to estimate the similarity, if any, between mean IQ’s of
firstborn sons and second born sons.
Firstborn: n = 25, mean = 101.5, standard deviation =
13.6
Secondborn: n=25, mean = 102.4, standard deviation =
9.14
Using a 0.10 significance level, test the claim that the average
IQ for a FIRSTBORN son is the same as the average...
Problem: The IQ test scores of 45 seventh-grade girls in a Midwest school district are below....
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...
Construct a dot plot from the set of 50 IQ scores from randomly selected 10th graders....
Construct a dot plot from the set of 50 IQ scores from randomly
selected 10th graders. The scores are
60 73 76 77 80 81 83 84 85 87 88 89 90 91 92 93 94 94 95 96 96
97 98 99 100 100 101 102 103 103 104 105 106 107 109 110 111 112
113 114 116 117 119 120 123 124 130 133 134 141
An educational psychologist at a large university wants to estimate the mean IQ of the students...
An educational psychologist at a large university wants to
estimate the mean IQ of the students in tertiary institutes in
Macau. A random sample of 15 students (in universities in Macau)
gives the following data on IQs. From further investigation, the
data are normally distributed.
113
120
103
118
104
98
110
126
88
110
126
112
120
101
115
a. At the 5% significance level, do the data
provide sufficient evidence to conclude that the IQ of tertiary
students...
1. In the study examining socioeconomic differences in birth weight, the mean birth weight for babies...
1. In the study examining socioeconomic differences in birth
weight, the mean birth weight for babies born to n1=32
mothers with a college education was 2998 grams with a standard
deviation of 230 grams, while the mean birth weight for babies born
to n2=41 mothers with no more than a high school
education was 2765 grams with a standard deviation of 332 grams.
Which of the following states the appropriate hypotheses for
testing if the mean birth weight between these...
Ten randomly selected people took an IQ test A, and next day they took a very...
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 100 96 89 101 72 121
105 85 111 113 Test B 101 100 89 105 73 122 108 88 109 120 1.
Consider (Test A - Test B). Use a 0.01 0.01 significance level to
test the claim...
Ten randomly selected people took an IQ test A, and next day they took a very...
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
106
87
89
102
108
126
113
94
98
78
Test B
111
88
92
101
111
128
112
92
99
79
1. Consider (Test A - Test B). Use a 0.05 significance level to
test the claim that...
Many standard statistical methods that you will study in Part II of this book are intended...
Many standard statistical methods that you will study in Part II
of this book are intended for use with distributions that are
symmetric and have no outliers. These methods start with the mean
and standard deviation, x and s. For example,
standard methods would typically be used for the IQ and GPA data
here data215.dat.
(a) Find x and s for the IQ data. (Round your
answers to two decimal places.)
s=
Here are the numbers
obs gpa iq gender...
Open Three Hospitals data. SETUP: It is believed that the number of injuries recorded in hospital...
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...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 15 minutes ago
asked 23 minutes ago
asked 44 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago