Question
In: Statistics and Probability
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 the number of students who scored less than 45 points.
(2e) Write down the expression for the Gaussian distribution that represents the PDF of the exam scores. Make sure that the expression contains all numerical fields filled in with the actual values.
Solutions
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...
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...
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...
2. The average score on an exam is 78. A test is given to 40 students...
2. The average score on an exam is 78. A test is given to 40
students and the average on the exam was 82 with a standard
deviation of 14.
a) At the .01 level did the students do better than expected?
(p = .039)
b) How do you explain the 4 point increase?
C) Interpret the p-value:
D) What is the only type of error that could have
occurred
Suppose 400 students take an exam and the distribution of their scores can be treated as...
Suppose 400 students take an exam and the distribution of their
scores can be treated as normal. Find the number of scores falling
into each of the following ranges:
(a) Within 1 standard
deviation of the mean.
(b) Within 2 standard
deviations of the mean.
The ACT is a college entrance exam. ACT test scores follow a normal distribution with a...
The ACT is a college entrance exam. ACT test scores follow a
normal distribution with a mean of 22.2 points and a standard
deviation of 4.9 points. Let X = number of points scored on the
ACT. Answer the following questions.
A. Jasmine scored a 28.227 on the ACT. Calculate Jasmine's
Z-score.
B. Interpret Jasmine's z-score in terms of the problem.
C. What is the probability that a randomly selected individual
gets an ACT score that is lower than Jasmine's?...
Estimating a Mean: Consider the frequency distribution for 22 test scores (it was a difficult exam)....
Estimating a Mean: Consider the frequency
distribution for 22 test scores (it was a difficult exam).
Score
Frequency
60 −
64
8
65 −
69
4
70 −
74
2
75 −
79
4
80 −
84
4
(a) The class midpoint for the first class is .
(b) The class midpoint for the second class is .
(c) Use the frequency table to estimate the mean score.
Round your answer to 1 decimal place.
x =
. It is known that scores on a certain IQ test follow a normal distribution with...
. It is known that scores on a certain IQ test follow a normal distribution with mean 100 and standard deviation 15. For the whole population of test-takers, what proportion of scores will be greater than 124.0? Also, the top 3% of test-takers will have scores greater than what value? Finally, consider a random group of 16 people who take the IQ test. For these 16 people, what is the probability that their average (mean) IQ score will be less...
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