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?

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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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