In the December 2002 issue of Consumer Reports, Consumers Union reported on their investigation of the presence of bacteria in packages of chicken sold in supermarkets. They purchased both name brand (Perdue) and store brand chicken in 25 U.S. cities. Laboratory tests found campylobacter contamination in 33% of the 75 Perdue packages, and in 45% of the 75 store brand packages. They also found campylobacter in 56% of 75 Tyson brand packages. Create a 90% confidence interval for the difference in contamination levels between Tyson and Perdue chicken. a. Are the conditions for inferences met? b. What is the standard error for the difference? c. Construct a 90% confidence interval. d. Interpret your confidence interval in context.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In the December 2002 issue of Consumer Reports, Consumers Union reported on their
investigation of the presence of bacteria in packages of chicken sold in supermarkets.
They purchased both name brand (Perdue) and store brand chicken in 25 U.S. cities.
Laboratory tests found campylobacter contamination in 33% of the 75 Perdue packages,
and in 45% of the 75 store brand packages. They also found campylobacter in 56% of 75
Tyson brand packages. Create a 90% confidence interval for the difference in
contamination levels between Tyson and Perdue chicken.
a. Are the conditions for inferences met?
b. What is the standard error for the difference?
c. Construct a 90% confidence interval.
d. Interpret your confidence interval in context.
Transcribed Image Text:In the December 2002 issue of Consumer Reports, Consumers Union reported on their investigation of the presence of bacteria in packages of chicken sold in supermarkets. They purchased both name brand (Perdue) and store brand chicken in 25 U.S. cities. Laboratory tests found campylobacter contamination in 33% of the 75 Perdue packages, and in 45% of the 75 store brand packages. They also found campylobacter in 56% of 75 Tyson brand packages. Create a 90% confidence interval for the difference in contamination levels between Tyson and Perdue chicken. a. Are the conditions for inferences met? b. What is the standard error for the difference? c. Construct a 90% confidence interval. d. Interpret your confidence interval in context.
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