Question
In: Statistics and Probability
A tutoring company claims to deliver significantly greater test scores for their clients. The distribution of...
A tutoring company claims to deliver significantly greater test scores for their clients. The distribution of test scores are normal with a mean of 20.8 and a standard deviation of 4.8. (a). If we take a random sample of 5000 clients and find they have a sample mean test score of 21, does it suppport the company’s claim? (b). How would you feel if you paid for a tutoring course and you got a score that was only 0.2 over the average? (c). How do you think the result in part (a) will change if the sample size was only 50?
Solutions
orchestra answered 2 years agoRelated Solutions
You are testing the change in test scores following an intensive tutoring session. You have the...
You are testing the change in test scores following an intensive
tutoring session.
You have the following data from a small group of students each
student is tested before and after the tutoring session.
Each row represents one student.
|Time 1 |Time 2|
|---------|------|
|65 |77 |
|87 |100 |
|77 |75 |
|90 |89 |
|70 |80 |
|84 |81 |
|92 |91 |
|83 |96 |
|85 |84 |
|91 |89 |
|68 |88 |
|72 |100 |...
An instructor for a test preparation course claims that the course will improve the test scores...
An instructor for a test preparation course claims that the
course will improve the test scores of students. The table shows
the critical reading scores for 14 students the first two times
they took the test. Before taking the test for the second time,
the students took the instructor's course to try to improve their
critical reading test scores. At a = 0.01, is there enough
evidence to support the instructor's claim? Complete parts (a)
through (f). number of students:14....
The distribution of scores on a recent test closely followed a Normal Distribution with a mean...
The distribution of scores on a recent test closely followed a
Normal Distribution with a mean of 22 points and a standard
deviation of 2 points. For this question, DO NOT apply the
standard deviation rule.
(a) What proportion of the students scored at least 21 points on
this test, rounded to five decimal places?
(b) What is the 63 percentile of the distribution of test
scores, rounded to three decimal places?
The distribution of scores on a recent test closely followed a Normal Distribution with a mean...
The distribution of scores on a recent test closely followed a
Normal Distribution with a mean of 22 points and a standard
deviation of 2 points. For this question, DO NOT apply the
standard deviation rule.
(a) What proportion of the students scored at least 29 points on
this test, rounded to five decimal places?
(b) What is the 85 percentile of the distribution of test
scores, rounded to three decimal places?
The distribution of scores on a recent test closely followed a Normal Distribution with a mean...
The distribution of scores on a recent test closely followed a
Normal Distribution with a mean of 22 points and a standard
deviation of 2 points. For this question, DO NOT apply the
standard deviation rule.
(a) What proportion of the students scored at least 29 points on
this test, rounded to five decimal places?
(b) What is the 20 percentile of the distribution of test
scores, rounded to three decimal places?
The distribution of scores on a recent test closely followed a Normal Distribution with a mean...
The distribution of scores on a recent test closely followed a
Normal Distribution with a mean of 22 points and a standard
deviation of 2 points. For this question, DO NOT apply the standard
deviation rule.
(a) What proportion of the students scored at least 21 points on
this test, rounded to five decimal places?
(b) What is the 63 percentile of the distribution of test
scores, rounded to three decimal places?
24)____________ An SAT prep course claims to improve the test scores of students. The
24)____________ An SAT prep
course claims to improve the test scores of students. The
table
shows the scores for seven students the first two times they
took
25)_____________ the verbal SAT. Before
taking the SAT for the second time, each
student
took a course to try to improve his or her verbal SAT
scores.
Test the claim at a = .05. List the a) null
hypothesis b) average
difference
between
the scores
Student
1
2...
. 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...
An SAT prep course claims to improve the test scores of students. The table shows the...
An SAT prep course claims to improve the test scores of
students. The table shows the critical reading scores for 10
students the first two times they took the SAT, once before for the
course, and once after the course. Test the company’s claim at α =
0.01. Extra columns provided for calculations.
Student Score
Before
Score After 1 308 400 2 456 524 3 352 409 4 433 491 5 306 348 6 471
583 7 422 451 8...
A science teacher claims that the mean scores on a science assessment test for fourth grade...
A science teacher claims that the mean scores on a science
assessment test for fourth grade boys and girls are equal. The mean
score for 63 randomly selected boys is 151 with a standard
deviation of 36, and the mean score for 65 randomly selected girls
is 149 with a standard deviation of 34. At α = 0.10, can you reject
the teacher’s claim? Assume the populations are normally
distributed and the population variances are equal.
Resource: Two Samples, Means,...
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