Does the location of your seat in a classroom play a role in attendance orgrade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of theclass, the 400 students in group 2 sat 4 to 6.5 meters from thefront, the 400 students in group 3 sat 6.5 to 9 meters from thefront, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Use the Tech Help button for further assistance.

(a) For the first half of thesemester, the attendance for the whole class averaged 83%. So, if there is no effect due to seatlocation, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each groupattended, onaverage? Is there a significant difference among the groups in attendancepatterns?

Group

1

2

3

4

Attendance

0.84

0.84

0.84

0.80

The number of students who attended in the first group was_______

The number of students who attended in the second group was________

The number of students who attended in the third group was_________

The number of students who attended in the fourth group was ___________

What are thehypotheses?

A.

H0: The average attendance in each group is the same as the average attendance for the class.

H1: The average attendance in each group is different from the average attendance for the class.

B.

H0: The average attendance in each group is different from the average attendance for the class.

H1: The average attendance in each group is the same as the average attendance for the class.

C.

None of these.

Compute theP-value.

P-value=________

(Round to three decimal places asneeded.)

Is there a significant difference among the groups in attendancepatterns? Use the level of significance =0.05.

A.

Yes. H0 should be rejected because theP-value of the test is greater than .

B.

No. H0 should notbe rejected because theP-value of the test is less than .

C.

Yes. H0 should be rejected because theP-value of the test is less than .

D.

No. H0 should notbe rejected because theP-value of the test is greater than .

(b) For the second half of thesemester, the groups were rotated so that group 1 students moved to the back of class and group 4 students moved to the front. The same switch took place between groups 2 and 3. The attendance for the second half of the semester averaged 70%. The data show the attendance records for the original groups. How many students in each groupattended, onaverage? Is there a significant difference in attendancepatterns? Use thep-value approach and use the level of significance =0.05.

Group

1

2

3

4

Attendance

0.84

0.75

0.69

0.52

The number of students who attended in the first group was ________

The number of students who attended in the second group was________

The number of students who attended in the third group was _________

.

The number of students who attended in the fourth group was ________

The wording of the hypotheses is the same as part(a). Compute theP-value for the test with technology and compare to the level of significance =0.05.

P-value=_________

(Round to three decimal places asneeded.)

Is there a significant difference in attendancepatterns?

A.

No, because theP-value of the test is less than the level of significance.

B.

No, because theP-value of the test is greater than the level of significance.

C.

Yes, because theP-value of the test is greater than the level of significance.

D.

Yes, because theP-value of the test is less than the level of significance.

(c) At the end of thesemester, the proportion of students in the top20% of the class was determined. Of the students in group1, 25% were in the top20%; of the students in group2, 20% were in the top20%; of the students in group3, 16% were in the top20%; of the students in group4, 19% were in the top20% . How many students would we expect to be in the top20% of the class if seat location plays no role ingrades?

The number of students expected to be in the top20% of the class in group 1 if seat location plays no role on grades is__________

The number of students expected to be in the top20% of the class in group 2 is_________

The number of students expected to be in the top20% of the class in group 3 is__________

The number of students expected to be in the top20% of the class in group 4 is ____________

What is the nullhypothesis?

A.

H0: The number of students in the top20% in each group would be the same amongst the groups.

H1: The number of students in the top20% in each group would not be the same amongst the groups.

B.

None of these.

C.

H0: The number of students in the top20% in each group would not be the same amongst the groups.

H1: The number of students in the top20% in each group would be the same amongst the groups.

Compute theP-value for the test with technology and compare to the level of significance =0.05.

P-value=___________

(Round to three decimal places asneeded.)

Is there a significant difference in the number of students in the top20% of the class bygroup?

A.

No. H0 should notbe rejected because theP-value of the test is less than the level of significance

B.

Yes. H0 should be rejected because theP-value of the test is less than the level of significance.

C.

No. H0 should notbe rejected because theP-value of the test is greater than the level of significance.

D.

Yes. H0 should be rejected because theP-value of the test is greater than the level of significance.