A researcher for a cereal company wanted to demonstrate the health benefits of eating oatmeal. A sample of 9 volunteers was obtained and each participant ate a fixed diet without any oatmeal for 30 days. At the end of the 30-day period, cholesterol was measured for each econd 30 day neriod in which theu reneated individual Then the narticinants began

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2 questions 

  1. Are the data sufficient to indicate a significant change in cholesterol level? Test with α = .05.

2. Compute r2, the percentage of variance accounted for by the treatment, to measure the size of the treatment.

Question 2-
A researcher for a cereal company wanted to demonstrate the health benefits of eating
oatmeal. A sample of 9 volunteers was obtained and each participant ate a fixed diet without
any oatmeal for 30 days. At the end of the 30-day period, cholesterol was measured for each
individual. Then the participants began a second 30-day period in which they repeated
exactly the same diet except that they added 2 cups of oatmeal each day. After the second 30-
day period, cholesterol levels were measured again. The following table summarizes the data
collected in this study:
Cholesterol scores at Cholesterol scores at the
the end of the 30-day
periode
Difference Score in
each pair (D)( second
30 days – first
30days)
Participant
end of the second 30-
day periode
174
166.
190
-16
183.
-17
155e
189
3e
170
-15e
4
210
-21
178.
163e
-15e
185e
167
-18
-21e
-11e
191e
170
157e
168e
9
186-
176
-10
a. Are the data sufficient to indicate a significant change in cholesterol level? Test with a
= .05.
Solution:
Transcribed Image Text:Question 2- A researcher for a cereal company wanted to demonstrate the health benefits of eating oatmeal. A sample of 9 volunteers was obtained and each participant ate a fixed diet without any oatmeal for 30 days. At the end of the 30-day period, cholesterol was measured for each individual. Then the participants began a second 30-day period in which they repeated exactly the same diet except that they added 2 cups of oatmeal each day. After the second 30- day period, cholesterol levels were measured again. The following table summarizes the data collected in this study: Cholesterol scores at Cholesterol scores at the the end of the 30-day periode Difference Score in each pair (D)( second 30 days – first 30days) Participant end of the second 30- day periode 174 166. 190 -16 183. -17 155e 189 3e 170 -15e 4 210 -21 178. 163e -15e 185e 167 -18 -21e -11e 191e 170 157e 168e 9 186- 176 -10 a. Are the data sufficient to indicate a significant change in cholesterol level? Test with a = .05. Solution:
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