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A new weight-reducing technique, consisting of a liquid protein diet,is currently undergoing tests by the Food and Drug Administration (FDA) before its introduction into the market

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A new weight-reducing technique, consisting of a liquid protein diet,is currently undergoing tests by the Food and Drug Administration (FDA) before its introduction into the market. The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Let µ1be true mean weight of individuals before starting the diet and let µ2be the true mean weight of individuals after 3 weeks on the diet.
 
 
1
2
3
4
5
Weight before diet
156
201
194
203
210
Weight after diet
149
196
191
197
206
 
Given that Sd =1.58, test to determine if the diet is effective at reducing weight. Use α=0.1