Do men score the same on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and eleven randomly selected female statistics students are shown below. Male: 71 88 67 62 67 69 70 65 60 83 Female: 99 99 96 89 74 68 89 77 84 93 81 Assume both follow a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance?
Do men score the same on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and eleven randomly selected female statistics students are shown below. Male: 71 88 67 62 67 69 70 65 60 83 Female: 99 99 96 89 74 68 89 77 84 93 81 Assume both follow a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Pleae use calcu or write steps. thanks.

Transcribed Image Text:Do men score the same on average compared to women on their statistics finals? Final exam scores of ten
randomly selected male statistics students and eleven randomly selected female statistics students are shown
below.
Male: 71
88
67
62
67
69
70
65
60
83
Female: 99
99
96
89
74
68
89
77
84
93
81
Assume both follow a Normal distribution. What can be concluded at the the a =
0.10 level of significance
level of significance?
For this study, we should use
t-test for the difference between two independent population means
a. The null and alternative hypotheses would be:
Ho:
μι
μ2
(please enter a decimal)
H1:
u1
μ2
(Please enter a decimal)
b. The test statistic
(please show your answer to 3 decimal places.)
c. The p-value =
(Please show your answer to 4 decimal places.)
d. The p-value is ? O
e. Based on this, we should Select an answer
O the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean statistics final exam score for men is not the same as the population
mean statistics final exam score for women.
%3D
The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the mean final exam score for the ten men that were observed is not the same as the mean
%3D
final exam score for the eleven women that were observed.
The results are statistically insignificant at a =
to conclude that the population mean statistics final exam score for men is equal to the
population mean statistics final exam score for women.
0.10, so there is statistically significant evidence
The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude
that the population mean statistics final exam score for men is not the same as the population
mean statistics final exam score for women.
%3D
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