In a study of the effectiveness of certain exercises in weight reduction, a group of 16...

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In a study of the effectiveness of certain exercises in weightreduction, a group of 16 persons engaged in these exercises forthree months and showed the weights, in pounds, before exercises(X) and after exercises (Y):Â Â
Individual
X
Y
1
211
198
2
180
173
3
171
172
4
214
209
5
182
179
6
194
192
7
160
161
8
182
182
9
172
166
10
155
154
11
185
181
12
167
164
13
203
201
14
181
175
15
245
233
16
146
142
Perform a pooled two-sample t-test at 0.05 level ofsignificance to see if the data provide sufficient evidence to showa weight reduction. What assumptions are required for this test tobe valid?
Perform a paired t-test at 0.05 level of significanceto see if the data provide sufficient evidence to show a weightreduction. What assumptions are required for this test to bevalid?
Are the conclusions from (a) and (b) consistent, and why or whynot?

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4.4 Ratings (847 Votes)

In order to solve this question I used R software R codes and output dreadtabledatacsvheaderTsep headd Individual X Y 1 1 211 198 2 2 180 173 3 3 171 172 4 4 214 209 5 5 182 179 6 6 194 192 attachd The following objects are masked from d pos 3 Individual X Y vartestXY F test to compare two variances data X and Y F 12189 num df 15 denom df 15 pvalue 07064 alternative hypothesis true ratio of variances is not See Answer

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Individual	X	Y
1	211	198
2	180	173
3	171	172
4	214	209
5	182	179
6	194	192
7	160	161
8	182	182
9	172	166
10	155	154
11	185	181
12	167	164
13	203	201
14	181	175
15	245	233
16	146	142