Question
In: Statistics and Probability
2. In Pennsylvania, students take the Algebra 1 Keystone exams. If a student scores a 1500...
2. In Pennsylvania, students take the Algebra 1 Keystone exams. If a student scores a 1500 the student earns a Proficient Rating. One teacher claims that his students score above Proficient. In a random sample of 80 students, the mean score was 1505with a standard deviation of 25.578.
a. Is there convincing evidence at the ?=0.05level that his students score above Proficient?(show all four steps)
b. Construct a 90% confidence interval for the meancompletion time of all students who took the exam.(show the math and make the conclusion)
c. How many students would have to be sampled to report a margin of error of 5 points?
Solutions
orchestra answered 2 years agoRelated Solutions
The SAT scores for US high school students are normally distributed with a mean of 1500...
The SAT scores for US high school students are normally
distributed with a mean of 1500 and a standard deviation of
100.
1. Calculate the probability that a randomly selected student
has a SAT score greater than 1650.
2. Calculate the probability that a randomly selected student
has a SAT score between 1400 and 1650, inclusive.
3. If we have random sample of 100 students, find the probability
that the mean scores between 1485 and 1510, inclusive.
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...
The following data set outlines the scores students had on an Algebra test. 4954565651 5856686166 6566747475...
The following data set outlines the scores students had on an
Algebra test.
4954565651
5856686166
6566747475
7979728592
9494959893
i) Fill in the frequency table(below)
Scores
ScoreFrequency
40-49
50-59
60-69
70-79
80-89
90-99
ii) Draw a histogram on the graph below by drawing a horizontal
line segment the top of each histogram bar.
Optional: Then draw vertical line segments for the sides.
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...
Write a program to take input of scores for Chemistry, Biology and English for a student...
Write a program to
take input of scores for Chemistry, Biology and English for a
student and display the average with 2 decimal places if all of the
three scores are in the range between 1 and 100 inclusive. Program
should also display the course name for which scores are entered
out of range telling Average couldn't be calculated.
Following is a sample
run:
Enter scores for
Chemistry, Biology and English between 1 and 100:
45
89
96
Avg score...
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.
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