Question

A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. egin{tabular}{|c|c|} hline Supermarket 1 & Supermarket 2 \ hline( n_{1}=260 ) & ( n_{2}=300 ) \ hline ( ar{x}_{1}=83 ) & ( ar{x}_{2}=82 ) \ hline end{tabular} (a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let ( mu_{1}= ) the population mean satisfaction score for Supermarket 1 's customers, and let ( mu_{2}= ) the population mean satisfaction score for Supermarket 2 's customers. Enter != for ( eq ) as needed.) ( mathrm{H}_{0}: ) ( H_{a} ) : (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 13 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use ( mu_{1}-mu_{2} ). Round your answer to two decimal places.) Report the ( p )-value. (Round your answer to four decimal places.) ( p )-value ( = ) At a 0.05 level of significance what is your conclusion?

          A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below.
egin{tabular}{|c|c|}
hline Supermarket 1 & Supermarket 2 \
hline( n_{1}=260 ) & ( n_{2}=300 ) \
hline ( ar{x}_{1}=83 ) & ( ar{x}_{2}=82 ) \
hline
end{tabular}
(a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let ( mu_{1}= ) the population mean satisfaction score for Supermarket 1 's customers, and let ( mu_{2}= ) the population mean satisfaction score for Supermarket 2 's customers. Enter != for ( 
eq ) as needed.)
( mathrm{H}_{0}: )
( H_{a} ) :
(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 13 is a reasonable assumption for both retailers. Conduct the hypothesis test.
Calculate the test statistic. (Use ( mu_{1}-mu_{2} ). Round your answer to two decimal places.)
Report the ( p )-value. (Round your answer to four decimal places.)
( p )-value ( = )
At a 0.05 level of significance what is your conclusion?

A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below.
egintabular|c|c|
hline Supermarket 1 Supermarket 2 hline( n1=260 ) ( n2=300 ) hline ( arx1=83 ) ( arx2=82 ) hline
endtabular
(a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let ( mu1= ) the population mean satisfaction score for Supermarket 1 's customers, and let ( mu2= ) the population mean satisfaction score for Supermarket 2 's customers. Enter != for (
eq ) as needed.)
( mathrmH0: )
( Ha ) :
(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 13 is a reasonable assumption for both retailers. Conduct the hypothesis test.
Calculate the test statistic. (Use ( mu1-mu2 ). Round your answer to two decimal places.)
Report the ( p )-value. (Round your answer to four decimal places.)
( p )-value ( = )
At a 0.05 level of significance what is your conclusion?

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