Question 1 of 20
0.0/ 1.0 Points
An adviser is testing out a new online learning module for a placement test. They wish to test the
claim that on average the new online learning module increased placement scores at a
significance level of α = 0.05. For the context of this problem, μ
D
=μ
new
–μ
old
where the first data set
represents the new test scores and the second data set represents old test scores. Assume the
population is normally distributed.
H
0
: μ
D
= 0
H
1
: μ
D
< 0
You obtain the following paired sample of 19 students that took the placement test before and
after the learning module:
New
LM
Old LM
58.1
55.8
58.3
53.7
83.6
76.6
49.5
47.5
51.8
48.9
20.6
11.4
35.2
30.6
46.7
54
22.5
21
47.7
58.5
51.5
42.6
76.6
61.2
29.6
26.8
14.5
12.5
43.7
56.3
57
43.1
66.1
72.8
38.1
42.2
42.4
51.3

Choose the correct decision and summary and state the p-value.
Feedback:

Copy and paste the data into Excel. Use the Data Analysis Toolpak in Excel.
Data - > Data Analysis -> scroll to where is says t:Test: Paired Two Samples for Means -> OK
Variable 1 Range: is New LM

Variable 2 Range: is Old LM
The Hypothesized Mean Difference is 0 and make sure you click Labels in the first row and click
OK. You will get an output and this is the p-value you are looking for.

Question 2 of 20
0.0/ 1.0 Points
A researcher is testing reaction times between the dominant and non-dominant hand. They
randomly start with each hand for 20 subjects and their reaction times in milliseconds are
recorded. Test to see if the reaction time is faster for the dominant hand using a 5% level of
significance. The hypotheses are:
H
0
: μ
D
= 0
H
1
: μ
D
> 0
t-Test: Paired Two Sample for Means
Non-
Dominant Dominant
Mean
63.33
56.28
Variance
218.96431
58
128.75221
05
Observations
20
20
Pearson Correlation
0.9067
Hypothesized Mean
Difference
0
df
19
t Stat
4.7951
P(T<=t) one-tail
0.0001
t Critical one-tail
1.7291
P(T<=t) two-tail
0.0001
t Critical two-tail
2.0930
What is the correct decision?