22) A hiker felt a little competitive with his friends and started keeping track of the distances they each travel whene
Posted: Mon Nov 15, 2021 11:06 am
22) A hiker felt a little competitive with his friends and
started keeping track of the distances they each travel whenever
they go for hikes. They then got together and discussed how many
miles they each hiked on average over the last four months,
deciding to use t-test comparisons to see if the differences were
in fact significant. Using the sample summary and t-test
calculations, determine answers the following questions:
a) Assuming a critical value of 2.145 at p < .05,
which comparisons listed below are significant? (Hypothesis test
step 4)
b) State the test statistic for each significant comparison
c) Determine the effect size for each comparison listed
below
d) What is the family wise error for this experiment,
considering four t-tests were run?
Ben
Eryka
Melinda
Joseph
Mean
12.4
15.5
10
8.2
SD
4.2
4.8
3.5
3
n
18
8
14
8
t-test Comparison
Ben vs. Eryka
t = 1.57786
Ben vs. Melinda
t = 1.762135
Ben vs. Joseph
t = 2.894831
Eryka vs. Joseph
t = 3.64772
started keeping track of the distances they each travel whenever
they go for hikes. They then got together and discussed how many
miles they each hiked on average over the last four months,
deciding to use t-test comparisons to see if the differences were
in fact significant. Using the sample summary and t-test
calculations, determine answers the following questions:
a) Assuming a critical value of 2.145 at p < .05,
which comparisons listed below are significant? (Hypothesis test
step 4)
b) State the test statistic for each significant comparison
c) Determine the effect size for each comparison listed
below
d) What is the family wise error for this experiment,
considering four t-tests were run?
Ben
Eryka
Melinda
Joseph
Mean
12.4
15.5
10
8.2
SD
4.2
4.8
3.5
3
n
18
8
14
8
t-test Comparison
Ben vs. Eryka
t = 1.57786
Ben vs. Melinda
t = 1.762135
Ben vs. Joseph
t = 2.894831
Eryka vs. Joseph
t = 3.64772