On a college entrance a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The counselor would like to know if there is convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes and therefore tests the hypotheses = 25 versus < 25, where μ = the true mean amount of time needed by students at this school to complete this portion of the exam. The power of this test to reject the null hypothesis when μ = 24.5 is 0.735. What could the counselor have done to increase the power of this test? The counselor could have used a sample size of 10 students. The counselor could have used a sample size of 20 students. The counselor could have used a sample size of 30 students. The counselor could have used a sample size of 40 students.
On a college entrance a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The counselor would like to know if there is convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes and therefore tests the hypotheses = 25 versus < 25, where μ = the true mean amount of time needed by students at this school to complete this portion of the exam. The power of this test to reject the null hypothesis when μ = 24.5 is 0.735. What could the counselor have done to increase the power of this test? The counselor could have used a sample size of 10 students. The counselor could have used a sample size of 20 students. The counselor could have used a sample size of 30 students. The counselor could have used a sample size of 40 students.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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On a college entrance a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The counselor would like to know if there is convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes and therefore tests the hypotheses = 25 versus < 25, where μ = the true mean amount of time needed by students at this school to complete this portion of the exam.
The power of this test to reject the null hypothesis when μ = 24.5 is 0.735. What could the counselor have done to increase the power of this test?
The counselor could have used a sample size of 10 students.
The counselor could have used a sample size of 20 students.
The counselor could have used a sample size of 30 students.
The counselor could have used a sample size of 40 students.
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