A statistics tutor wishes to study the effect that his tutoring has on his students. He randomly selects 4 new students and records their current grades in their statistics courses. After half a semester of tutoring, the students' grades are recorded again. The statistics tutor then uses a paired, two-sample hypothesis test to determine if the differences between the before and after grades are statistically significant. (The tutor assumes a 5% level of significance.) Students: A C D Before 83 78 93 87 After 80 80 96 86

MATLAB: An Introduction with Applications
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A statistics tutor wishes to study the effect that his tutoring has on his students. He randomly selects 4 new
students and records their current grades in their statistics courses. After half a semester of tutoring, the
students' grades are recorded again. The statistics tutor then uses a paired, two-sample hypothesis test to
determine if the differences between the before and after grades are statistically significant. (The tutor
assumes a 5% level of significance.)
Students:
A
В
C D
Before
83
78
93
87
After
80
80
96
86
Transcribed Image Text:A statistics tutor wishes to study the effect that his tutoring has on his students. He randomly selects 4 new students and records their current grades in their statistics courses. After half a semester of tutoring, the students' grades are recorded again. The statistics tutor then uses a paired, two-sample hypothesis test to determine if the differences between the before and after grades are statistically significant. (The tutor assumes a 5% level of significance.) Students: A В C D Before 83 78 93 87 After 80 80 96 86
d. Calculate the p-value from this hypothesis test.
p =
e. Which of the following is an appropriate conclusion?
Given that p < a at a 5% level of significance, from the sample data, there is sufficient evidence
to conclude that the tutor is, in fact, effective.
Given that p > a at a 5% level of significance, from the sample data, there is sufficient evidence
to conclude that the tutor is, in fact, effective.
Given that p > a at a 5% level of significance, from the sample data, there is not sufficient
evidence to conclude that the tutor is, in fact, effective.
Given that p < a at a 5% level of significance, from the sample data, there is not sufficient
evidence to conclude that the tutor is, in fact, effective.
Transcribed Image Text:d. Calculate the p-value from this hypothesis test. p = e. Which of the following is an appropriate conclusion? Given that p < a at a 5% level of significance, from the sample data, there is sufficient evidence to conclude that the tutor is, in fact, effective. Given that p > a at a 5% level of significance, from the sample data, there is sufficient evidence to conclude that the tutor is, in fact, effective. Given that p > a at a 5% level of significance, from the sample data, there is not sufficient evidence to conclude that the tutor is, in fact, effective. Given that p < a at a 5% level of significance, from the sample data, there is not sufficient evidence to conclude that the tutor is, in fact, effective.
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