b. The test statistic 0.855 x (please show your answer to 3 decimal places.)
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
Transcribed Image Text:Do college students enjoy playing sports more than watching sports? A researcher randomly selected ten
college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1
meaning they have no interest and 10 meaning they absolutely love it. The results of the study are given
below.
Playing vs. Watching Sports Data
Play Watch
2
1
5
3
6
9
7
9
10
1
5
6
3
5
o
Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of
significance?
For this study, we should use t-test for the difference between two dependent population means
Ho: ud
0°
10
2
5
3
1
1
a. The null and alternative hypotheses would be:
H₁: ud
OB
OB
0
0
c. The p-value = 0.20736 (Please show your answer to 4 decimal places.)
Or
d. The p-value is > V α
oº
(please enter a decimal)
b. The test statistict V✓ = 0.855 X (please show your answer to 3 decimal places.)
Or
the null hypothesis.
(Please enter a decimal)
e. Based on this, we should fail to reject
Or
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the ten students that were surveyed rated playing sports higher than watching sports on
average.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population mean rating for playing sports is greater than the population mean rating
for watching sports.
The results are statistically insignificant at a = 0.01, so there is insufficient evidence to
conclude that the population mean rating for playing sports is greater than the population
mean rating for watching sports.
O The results are statistically insignificant at a = 0.01, so there is statistically significant
evidence to conclude that the population mean rating for playing sports is equal to the
population mean rating for watching sports.
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