Soon after the pandemic hit, some retailers (e.g. Trader Joe's) limited the number of customers that are in the store at any one time resulting in lines of customers outside the store. The average waiting time for customers lined up outside one of these retailers in June of 2020 was 10.5 minutes and the retailer wants to find out if the average waiting time has gone up now in October.          d. A sample of 50 customers in October 2020 yielded a sample of average waiting time of 12.8 minutes and a sample standard deviation of 7.5 minutes. What is your conclusion at the 5%          level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance was changed to 1%. Justify briefly

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Soon after the pandemic hit, some retailers (e.g. Trader Joe's) limited the number of customers that are in the store at any one time resulting in lines of customers outside the store. The average waiting time for customers lined up outside one of these retailers in June of 2020 was 10.5 minutes and the retailer wants to find out if the average waiting time has gone up now in October.         

d. A sample of 50 customers in October 2020 yielded a sample of average waiting time of 12.8 minutes and a sample standard deviation of 7.5 minutes. What is your conclusion at the 5%          level of significance? (be sure to state your conclusion in the context of this problem)

e. Would your conclusion change if the level of significance was changed to 1%. Justify briefly

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Step 1

X be the waiting time for customers lined up outside one of these retailer.

X follows Normal distribution with mean μ and standard deviation σ.

The test is to check whether the average waiting time for customers lined up outside one of these retailers has increased in October 2020 compare to June 2020.

 

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