1. A new weight-reduction technique consists of a liquid protein diet, is currently undergoing test by the FDA before its introduction into the market. The weights of a random sample of 7 people are recorded before they are put on this diet for three weeks. At the end of the three-week period, their weights are again recorded (in pounds). weight loss Oifterence Be- Dependent Person Weight before diet Weight after diet 1 154 143 11 198 194 la 3. 191 185 6 4 197 191 199 200 244 248 -4 248 245 3 25=Ed a) Form the column of differences and find the mean and standard deviation of this column of numbers. Show your work. Xイ=d- 25-3,57 %3D ニ s2-(2 -(Sょ)? 235- 35-(25)* | 3D24. %3D (n-1) (7-1) 124.2857134.92805 %3D - Calculate a 90% confidence interval for the difference between the mean weights before and after the diet is used. Show all the work, and then interpret the confidence interval in the context of the problem. 9070 Xd = J= 3.57 S= 4.92805 n= %3D

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1. A new weight-reduction technique consists of a liquid protein diet, is currently
undergoing test by the FDA before its introduction into the market. The
weights of a random sample of 7 people are recorded before they are put on
this diet for three weeks. At the end of the three-week period, their weights
are again recorded (in pounds).
Dependent
Weight before diet
weight loss
Oitterence Betore- After
Person
Weight after diet
1
154
11
4
143
198
194
1し
36
34
191
185
4
197
191
199
200
244
248
-4
+14
248
245
3
(a) Form the column of differences and find the mean and standard deviation of
this column of numbers. Show your work.
25=Ed
235=Ed²
Xd=d = {d
25-3.57
ニ
/235-(25)²
3D24.28571
(n-1)
%3D
し
17-1)
S= 3? =2428571=4.92805
%3D
(b) Calculate a 90% confidence interval for the difference between the mean
weights before and after the diet is used. Show all the work, and then interpret
the confidence interval in the context of the problem.
9070
Xd = J= 3.57
S= 4.92805 n=7
C. I. Xさ te s。
Sd
909. C.I.
df =
3.57 (1,943 )4, 92805
= n-1
90.CI
%3D
(-0
te=lo943
%3D
-0.0190858566)
,
7.189085857
I am 9090 Contident that the mean of ale
people on the liquid proteir diet is Somewhere
be fween O 16s. and 7.189 lbs.
Transcribed Image Text:1. A new weight-reduction technique consists of a liquid protein diet, is currently undergoing test by the FDA before its introduction into the market. The weights of a random sample of 7 people are recorded before they are put on this diet for three weeks. At the end of the three-week period, their weights are again recorded (in pounds). Dependent Weight before diet weight loss Oitterence Betore- After Person Weight after diet 1 154 11 4 143 198 194 1し 36 34 191 185 4 197 191 199 200 244 248 -4 +14 248 245 3 (a) Form the column of differences and find the mean and standard deviation of this column of numbers. Show your work. 25=Ed 235=Ed² Xd=d = {d 25-3.57 ニ /235-(25)² 3D24.28571 (n-1) %3D し 17-1) S= 3? =2428571=4.92805 %3D (b) Calculate a 90% confidence interval for the difference between the mean weights before and after the diet is used. Show all the work, and then interpret the confidence interval in the context of the problem. 9070 Xd = J= 3.57 S= 4.92805 n=7 C. I. Xさ te s。 Sd 909. C.I. df = 3.57 (1,943 )4, 92805 = n-1 90.CI %3D (-0 te=lo943 %3D -0.0190858566) , 7.189085857 I am 9090 Contident that the mean of ale people on the liquid proteir diet is Somewhere be fween O 16s. and 7.189 lbs.
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