Question
In: Statistics and Probability
11 The graph illustrates the distribution of test scores taken by College Algebra students. The maximum...
11
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 71 and the standard deviation was 15. 2641567186101116Distribution of Test Sco
Use the "Empirical Rule", not a calculator or other technology. Do not round your answers.
What is the approximate percentage of students who scored
between 41 and 101 on the test?
%
What is the approximate percentage of students who scored higher
than 101 on the test?
%
What is the approximate percentage students who scored between 56
and 86 on the test?
%
What is the approximate percentage of students who scored between
71 and 86 on the test?
%
12
The heights of adult men in America are normally distributed,
with a mean of 69.4 inches and a standard deviation of 2.64 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.7 inches and a standard
deviation of 2.55 inches.
- If a man is 6 feet 3 inches tall, what is his z-score (to 4
decimal places)?
z = - If a woman is 5 feet 11 inches tall, what is her z-score (to 4
decimal places)?
z = - Who is relatively taller?
- The 6 foot 3 inch American man
- The 5 foot 11 inch American woman
Solutions
Expert Solution
Solution :
Z table is below:
All the probabilities of the Z score is from the given right tailed normal table below :
orchestra answered 2 years agoRelated Solutions
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible...
The graph illustrates the distribution of test scores taken by
College Algebra students. The maximum possible score on the test
was 110, while the mean score was 72 and the standard deviation was
8.
48 56 64 72 80 88 96 Distribution of Test Scores
What is the approximate percentage students who scored between 64
and 80 on the test?
What is the approximate percentage of students who scored between
56 and 88 on the test?
What is the approximate...
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible...
The graph illustrates the distribution of test scores taken by
College Algebra students. The maximum possible score on the test
was 140, while the mean score was 76 and the standard deviation was
14.
34 48 62 76 90 104 118 Distribution of Test Scores
What is the approximate percentage of students who scored
between 62 and 76? %
What is the approximate percentage students who scored between
62 and 90 on the test? %
What is the approximate percentage...
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible...
The graph illustrates the distribution of test scores taken by
College Algebra students. The maximum possible score on the test
was 140, while the mean score was 77 and the standard deviation was
14.
35
49
63
77
91
105
119
Distribution of Test Scores
What is the approximate percentage of students who scored
lower than 35 on the test?
%
What is the approximate percentage of students who scored
between 77 and 119 on the test?
%
What is...
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible...
The graph illustrates the distribution of test scores taken by
College Algebra students. The maximum possible score on the test
was 110, while the mean score was 80 and the standard deviation was
7. 59 66 73 80 87 94 101 Distribution of Test Scores What is the
approximate percentage students who scored between 73 and 87 on the
test? Incorrect% What is the approximate percentage of students who
scored lower than 59 on the test? Incorrect% What is the...
A math department gives all college algebra students a test to test rather or not students...
A math department gives all college algebra students a test to
test rather or not students taking college algebra on site perform
better on Final than students that take class completely online.
The Math department gathers random samples of 40 on-site students
(Students who take class in the classroom) and 35 online students.
The test score for each student in the random sample is determined.
The mean score for the on-site students is 75, with a standard
deviation of 12....
Problem 2. Test Scores Distribution. In a certain exam is taken by 200 students, the average...
Problem 2. Test Scores Distribution.
In a certain exam is taken by 200 students, the average score
was 60 out of maximum of 100 points. It was also found that 32
students scored more than 75 points. Assuming that the exam scores
were well represented by a Gaussian probability density
function,
(2a) Determine the mean of the distribution.
(2b) Determine the standard deviation of the distribution.
(2c) Determine the number of students who scored more than 90
points.
(2d) Determine...
One hundred students were given an Algebra test. A random sample of ten students was taken...
One hundred students were given an Algebra test. A random sample
of ten students was taken out of class of 800 enrolled students.
The time it took each student to complete the test is recorded
below.
22.2, 23.7, 16.8, 18.3, 19.7, 16.9, 17.2, 18.5, 21.0, and
19.7
a. Find the mean, variance and standard deviation for this
sample of ten students
b. Construct a 95% confidence interval for the population mean
time to complete this Algebra test.
c. Test if...
The College Board finds that the distribution of students' SAT scores depends on the level of...
The College Board finds that the distribution of students' SAT
scores depends on the level of education their parents have.
Children of parents who did not finish high school have SAT math
scores X with mean 446 and standard deviation 103. Scores Y of
children of parents with graduate degrees have mean 555 and
standard deviation 107. Perhaps we should standardize to a common
scale for equity. Find numbers a, b, c, and d such that a + bX and...
The College Board finds that the distribution of students' SAT scores depends on the level of...
The College Board finds that the distribution of students' SAT
scores depends on the level of education their parents have.
Children of parents who did not finish high school have SAT math
scores X with mean 448 and standard deviation 106. Scores Y of
children of parents with graduate degrees have mean 562 and
standard deviation 101. Perhaps we should standardize to a common
scale for equity. Find numbers a, b, c, and d such that a + bX and...
Using R Studio: A College Algebra course requires students to take an assessment test at the...
Using R Studio: A College Algebra course requires students to
take an assessment test at the start of the course and again at the
end of the course. The pre and post test scores for ten students
are:
Student
1
2
3
4
5
6
7
8
9
10
Pre-test score
70
62
63
61
56
52
71
63
64
67
Post-test score
87
71
82
78
57
50
72
65
78
65
Do the assessment test results support
the...
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