The Bergen Town Center recently found through a survey that

The Bergen Town Center recently found through a survey that the average shopper spends 0.75 hours in the mall, with a population standard deviation of 0.10. After adding a stage and bringing in local talent to perform they wanted to see if entertainment increased the amount of time customers spent in the mall. A second survey was taken and in a sample of 35 shoppers they found that the mean time spent in the mall had increased to 0.80 hours. At a significance level of 0.05 can we prove that the mean time of shoppers in the mall increased?

What is the null hypothesis?

What is the alternative hypothesis?

What type of test statistic would you use?

p-value

Z score

t stat

F distribution

What is the calculated value of the test statistic?

What is the critical value of the test statistic?

What decision do you make?

Fail to reject the null hypothesis

Reject the null hypothesis

Fail to reject the alternative hypothesis

reject the alternative hypothesis

What is the highest amount in hours that you would still fail to reject the null hypothesis?

What is the p-value?

Interpret the results:

Solution

The Bergen Town Center recently found through a survey that the average shopper spends 0.75 hours in the mall, with a population standard deviation of 0.10. After adding a stage and bringing in local talent to perform they wanted to see if entertainment increased the amount of time customers spent in the mall. A second survey was taken and in a sample of 35 shoppers they found that the mean time spent in the mall had increased to 0.80 hours. At a significance level of 0.05 can we prove that the mean time of shoppers in the mall increased?

What is the null hypothesis:

X-bar is less than or equal to mu.

What is the alternative hypothesis:

X-bar is greater than mu.

What type of test statistic would you use:

Z-score (since the population standard deviation is known).

What is the calculated value of the test statistic?

Z = (x-bar