1. A researcher believes that drinking apple cider vinegar each morning will reduce cholesterol levels. He randomly assigns participants to one of two groups: one group (n = 22) drinks a cup of apple cider vinegar each morning after breakfast and another group (n = 20) does not (this is the control group). After six months, the cholesterol levels are measured in each group.
1. A researcher believes that drinking apple cider vinegar each morning will reduce cholesterol levels. He randomly assigns participants to one of two groups: one group (n = 22) drinks a cup of apple cider vinegar each morning after breakfast and another group (n = 20) does not (this is the control group). After six months, the cholesterol levels are measured in each group.
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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
Transcribed Image Text:Name
Another Independent Samples t-test
1. A researcher believes that drinking apple cider vinegar each morning will reduce cholesterol
levels. He randomly assigns participants to one of two groups: one group (n = 22) drinks a cup
of apple cider vinegar each morning after breakfast and another group (n = 20) does not (this is
the control group). After six months, the cholesterol levels are measured in each group.
а.
State the nondirectional null hypothesis in symbols
cholest
Họ:
Hvinegar
Hcontrol
Hvinegar - Hcontrol o
or
Oer
b. State the nondirectional alternative hypothesis in symbols.
H1:
Hvinegar Z
Hvineagr - Hcontrol Eo
Hcontrol
or
Stte n ts as
you
c. Using an alpha level of .05 and a two-tailed test, what is the critical value of t?
d. Below are the data (cholesterol levels, mg/dL). Calculate the value of t. IF YOUR
ANSWER IS O.42, CONGRATULATIONS!
Control
Vinegar
230
315
305
200
150
170
150
190
210
210
140
240
310
210
190
185
300
210
205
170
200
290
200
140
190
150
300
200
240
150
180
207
195
205
220
300
190
210
290
200
205
210
M = 216.75
SS = 49463.75
s = 51.02
M = 210.32
SS = 50406.77
S= 48.99
n= 22
soll 0s
n = 20
tha one d

Transcribed Image Text:Do you reject the null hypothesis?
YES
NO
е.
f.
Based on these data, which of the following is true? (Check one)
O The cholesterol levels for the apple cider vinegar group were significantly lower
than the cholesterol levels for the control group.
O The cholesterol levels for the control group were significantly lower than the
cholesterol levels for the apple cider vinegar group.
O There was no significant difference between the cholesterol levels for the apple
cider vinegar group and the control group.
g. State your results as if you were writing them for a journal (fill in the blanks):
t(
.05, two-tailed
h. Calculate the effect size using the estimated d. How would you describe this effect -
small, medium, large, etc.? IF YOUR ANSWER IS 0.13, CONGRATULATIONS!
i.
Now state the directional null hypothesis in symbols.
Ho:
Hvinegar.
Hcontrol
j.
State the directional alternative hypothesis in symbols.
H1:
Hvinegar Hcontrol
k. What is the critical value of t in this case? Assume the alpha level is still .05.
I.
Would your conclusion about rejecting the null hypothesis change with a one-tailed
test?
YES
NO
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