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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd1efaf2-9c0c-46e4-a460-5a6aa8f2a0ec%2F2769dfbe-1471-49f3-bd9c-9c4f0aba9ccd%2Fy19gd3f_processed.png&w=3840&q=75)
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