a. Construct a 90% confidence interval for true average weight in State A (HA). b. Construct a 95% confidence interval for difference between true average weights in States A and B (HA – Hg). c. Do the results show that true average weight for people who take the diet is less than true average weight of those who do not take the diet at a = 0.05? Zo.1 = 1.28 Zo.os = 1.65 Z0.025 = 1.96 Diet Group * = 189 lb s = 250 No-Diet Group j = 195 lb S = 150

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A study is conducted to test a diet for losing weight. A group of 100 volunteers who took the diet (X) and a group of 100 volunteers who did not take any specific diet (Y). Their average weights were measured and are given in the following table, answer the following questions:

a. Construct a 90% confidence interval for true average weight in State A (HA).
b. Construct a 95% confidence interval for difference between true average weights in
States A and B (HA - Ha).
c. Do the results show that true average weight for people who take the diet is less than
true average weight of those who do not take the diet at a = 0.05?
Z0.1 = 1.28
Z0.05 = 1.65
Z0.025 = 1.96
Diet Group
x = 189 lb
No-Diet Group
y = 195 lb
s = 150
S = 250
Transcribed Image Text:a. Construct a 90% confidence interval for true average weight in State A (HA). b. Construct a 95% confidence interval for difference between true average weights in States A and B (HA - Ha). c. Do the results show that true average weight for people who take the diet is less than true average weight of those who do not take the diet at a = 0.05? Z0.1 = 1.28 Z0.05 = 1.65 Z0.025 = 1.96 Diet Group x = 189 lb No-Diet Group y = 195 lb s = 150 S = 250
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