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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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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: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
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
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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