On the SAT exam 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 exam in the timeframe 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 mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide 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 Ho: µ = 25 versus Hai H < 25, where p = the true mean amount of time needed by students at this school to complete this portion of the exam. The conditions for inference are met. What are the appropriate test statistic and P-value? Find the t-table here. O t=-1.85; the P-value is 0.9678. O t=-1.85; the P-value is between 0.025 and 0.05. O t= 1.85; the P-value is 0.9678. O t= 1.85; the P-value is between 0.025 and 0.05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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On the SAT exam 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 exam in the timeframe 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 mean amount of time taken by the students is 23.5 minutes with a
standard deviation of 4.8 minutes. The counselor would like to know if the data provide 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 Ho: µ = 25 versus Hai H < 25, where p = the true
mean amount of time needed by students at this school to complete this portion of the exam. The conditions
for inference are met. What are the appropriate test statistic and P-value?
Find the t-table here.
O t=-1.85; the P-value is 0.9678.
O t=-1.85; the P-value is between 0.025 and 0.05.
O t= 1.85; the P-value is 0.9678.
O t= 1.85; the P-value is between 0.025 and 0.05.
Transcribed Image Text:On the SAT exam 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 exam in the timeframe 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 mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide 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 Ho: µ = 25 versus Hai H < 25, where p = the true mean amount of time needed by students at this school to complete this portion of the exam. The conditions for inference are met. What are the appropriate test statistic and P-value? Find the t-table here. O t=-1.85; the P-value is 0.9678. O t=-1.85; the P-value is between 0.025 and 0.05. O t= 1.85; the P-value is 0.9678. O t= 1.85; the P-value is between 0.025 and 0.05.
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