HW9 F23
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Northeastern University *
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2320
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Mathematics
Date
Jan 9, 2024
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HW9
Using Table B in Appendix C, find the critical t values for each of the following hypothesis tests:
two-tailed test; α = .05; n1 = 12; n2 = 11
2.080
one-tailed test, upper tail critical; α = .05; n1 = 15; n2 = 13
1.706
Find the approximate p-value for each of the following test results:
one-tailed test, upper tail critical; df = 12; t = 4.61
p<.001
one-tailed test, lower tail critical; df = 19; t = –2.41
p<.05
two-tailed test; df = 15; t = 3.76
p<.01
Indicate which member of each of the following pairs of p-values describes the more rare test result:
(a1) p > .05
(a2) p < .05
(b1) p < .001
(b2) p < .01
(c1) p < .05
(c2) p < .01
Open either HW9.sav.
The first two variables (Group and Endurance) we discussed in class.
It is
essentially the same experiment with new samples.
1 - What is the null hypothesis, H
0
?
N1-n2=0
2 - What is the alternative hypothesis, H
1
?
N1-n2=0
3 – What alpha should you select?
Should it be one tail or two tail?
a<.05; one-tailed
4 – Conduct an independent samples
t
-test.
5 - What is your decision about H
0
?
Reject the null
6 - Using words, interpret this decision in terms of the original problem.
Report the
t
test along with the
confidence intervals and Cohen’s d.
The endurance scores for the EPO group (M = 10.5, SD =3.5) were higher than the scores for the control
group (M= 5, SD = 3.2). This difference 5.5, BCa 95% CI [1.12, 9.87] was significant [t(10) = 2.803, p < .05
and d = 1.618].
The next two variables (Group2 and Anxiety) we also discussed in class.
It is essentially the same
experiment with new samples.
1 - What is the null hypothesis, H
0
?
N1-n2=0
2 - What is the alternative hypothesis, H
1
?
N1-n2=0
3 – What alpha should you select?
Should it be one tail or two tail?
a<.05, one-tailed
4 – Conduct an independent samples
t
-test.
5 - What is your decision about H
0
?
Can’t reject the null
6 - Using words, interpret this decision in terms of the original problem.
Report the
t
test along with the
confidence intervals and Cohen’s d.
The anxiety scores for the drug group (M = 2.5, SD= .79) were lower than the control group (M = 5.16, SD
=.93). This difference of 2.56, BCa 95% CI [3.31, 1.84] was significant [t(22) = 7.28, p < .001 and d = 2.97].
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