Multiple choice

Question 1 

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the value of the test statistic. 

-3.47 

-2.36 

-0.14 

3.45 

-2.08

Question 2 

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the p-value. 

1.90% 

0.028% 

1.79% 

3.57% 

25%

Question 3 

In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. If possible, find a 95% confidence interval for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college. 

36.72% to 45.48% 

not possible 

33.06% to 40.41% 

none of these 

35.22% to 43.98%

Question 4 

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the alternative hypothesis. 

the population average is greater than $70 

none of these 

the population average is less than $70 

the sample average is less than $70 

the population average is $70