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The parent association at a local high school believes that the amount of time spent on homework by students at the school, on average, is more than the school's policy of an average of 30 minutes of homework per class. To test this claim, the administrators selected a random sample of 50 students, calculated the amount of time each student spent on homework per class, and tested the hypotheses listed here: H: μ- 30 Ha : μ> 30 %3| Where = the mean number of minutes spent on homework, per class, for all students in the school. The mean number of minutes spent on homework, per class, for the students in the sample was = 34. 7 minutes and the standard deviation ST = 10. 4 was minutes. The administrators performed a significance test and obtained a P-value of 0.0012. What conclusion would you make for the given significance test levels?

The parent association at a local high school believes that the amount of time spent on homework by students at the school, on average, is more than the school's policy of an average of 30 minutes of homework per class. To test this claim, the administrators selected a random sample of 50 students, calculated the amount of time each student spent on homework per class, and tested the hypotheses listed here: H: μ- 30 Ha : μ> 30 %3| Where = the mean number of minutes spent on homework, per class, for all students in the school. The mean number of minutes spent on homework, per class, for the students in the sample was = 34. 7 minutes and the standard deviation ST = 10. 4 was minutes. The administrators performed a significance test and obtained a P-value of 0.0012. What conclusion would you make for the given significance test levels?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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0. 05, we would reject Ho. There is convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at both significance levels. O For both a = 0.01 and a= O For only a = 0.01 we would reject Ho. There is convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at a = 0.01, but not at a = = 0. 05. O For onlya = 0. 05 we would reject Ho. There is convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at a = 0. 05, but not at a = = 0. 01. 0.01 and a = 0. 05, we would fail to reject Ho. There is For both a not convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at either significance level.
Transcribed Image Text:0. 05, we would reject Ho. There is convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at both significance levels. O For both a = 0.01 and a= O For only a = 0.01 we would reject Ho. There is convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at a = 0.01, but not at a = = 0. 05. O For onlya = 0. 05 we would reject Ho. There is convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at a = 0. 05, but not at a = = 0. 01. 0.01 and a = 0. 05, we would fail to reject Ho. There is For both a not convincing evidence the mean time spent on homework by students at the school is more than 30 minutes per class at either significance level.
The parent association at a local high school believes that the amount of time spent on homework by students at the school, on average, is more than the schooľ's policy of an average of 30 minutes of homework per class. To test this claim, the administrators selected a random sample of 50 students, calculated the amount of time each student spent on homework per class, and tested the hypotheses listed here: H0: μ30 H : μ> 30 Where = the mean number of minutes spent on homework, per class, for all students in the school. The mean number of minutes spent on homework, per class, for the students in the sample was = 34. 7 minutes and the standard deviation | 10. 4 was minutes. The administrators performed a significance test and ST = obtained a P-value of 0.0012. What conclusion would you make for the given significance test levels?
Transcribed Image Text:The parent association at a local high school believes that the amount of time spent on homework by students at the school, on average, is more than the schooľ's policy of an average of 30 minutes of homework per class. To test this claim, the administrators selected a random sample of 50 students, calculated the amount of time each student spent on homework per class, and tested the hypotheses listed here: H0: μ30 H : μ> 30 Where = the mean number of minutes spent on homework, per class, for all students in the school. The mean number of minutes spent on homework, per class, for the students in the sample was = 34. 7 minutes and the standard deviation | 10. 4 was minutes. The administrators performed a significance test and ST = obtained a P-value of 0.0012. What conclusion would you make for the given significance test levels?
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