Ten form 1 students from a secondary school measured how far they could push the shot-put with their dominant (writing) hand and their weaker (non-writing) hand. They thought that they could push equal distances with either hand. The data were collected and recorded in the following table. student 7 Distance (in feet) using student 1 Dominant hand Weaker hand student 2 student 3 student 4 student 5 student 6 student 8 student 9 student 10 30 26 34 17 19 26 20 24 30 18 28 15 27 18 17 26 16 18 25 16 (a) Conduct a hypothesis test to determine whether the mean difference in distances between the student's dominant versus weaker hands is significant using 5% significant level. (b) State the assumption needed for the test in (a). (c) Find the range of the p-value in (a).
Ten form 1 students from a secondary school measured how far they could push the shot-put with their dominant (writing) hand and their weaker (non-writing) hand. They thought that they could push equal distances with either hand. The data were collected and recorded in the following table. student 7 Distance (in feet) using student 1 Dominant hand Weaker hand student 2 student 3 student 4 student 5 student 6 student 8 student 9 student 10 30 26 34 17 19 26 20 24 30 18 28 15 27 18 17 26 16 18 25 16 (a) Conduct a hypothesis test to determine whether the mean difference in distances between the student's dominant versus weaker hands is significant using 5% significant level. (b) State the assumption needed for the test in (a). (c) Find the range of the p-value in (a).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Ten form 1 students from a secondary school measured how far they could push the shot-put
with their dominant (writing) hand and their weaker (non-writing) hand. They thought that they
could push equal distances with either hand. The data were collected and recorded in the
following table.
Distance (in feet) using student 1
Dominant hand
Weaker hand
student 2
student 3
student 4
student 5
student 6
student 7
student 8
student 9
student 10
30
26
34
17
19
26
20
24
30
18
28
15
27
18
17
26
16
18
25
16
(a) Conduct a hypothesis test to determine whether the mean difference in distances between
the student's dominant versus weaker hands is significant using 5% significant level.
(b) State the assumption needed for the test in (a).
(c) Find the range of the p-value in (a).
(d) The sports teacher of this secondary school selects another 12 form 1 students to push the
shot-put and find the 95% confidence interval for the mean difference in distances between the
student's dominant versus weaker hands to be (1.356, 5.666). Find the mean and standard
deviation of these twelve form 1 students.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2fdc80f-f525-42ed-aa01-68ec27c61bd6%2F3928b485-06c5-4923-b523-f4b5db34cbad%2Fri0yeuf_processed.png&w=3840&q=75)
Transcribed Image Text:Ten form 1 students from a secondary school measured how far they could push the shot-put
with their dominant (writing) hand and their weaker (non-writing) hand. They thought that they
could push equal distances with either hand. The data were collected and recorded in the
following table.
Distance (in feet) using student 1
Dominant hand
Weaker hand
student 2
student 3
student 4
student 5
student 6
student 7
student 8
student 9
student 10
30
26
34
17
19
26
20
24
30
18
28
15
27
18
17
26
16
18
25
16
(a) Conduct a hypothesis test to determine whether the mean difference in distances between
the student's dominant versus weaker hands is significant using 5% significant level.
(b) State the assumption needed for the test in (a).
(c) Find the range of the p-value in (a).
(d) The sports teacher of this secondary school selects another 12 form 1 students to push the
shot-put and find the 95% confidence interval for the mean difference in distances between the
student's dominant versus weaker hands to be (1.356, 5.666). Find the mean and standard
deviation of these twelve form 1 students.
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