A group of investors wants to develop a chain of fast-food

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Question 1 

A group of investors wants to develop a chain of fast-food restaurants. In determining potential costs 
for each facility, they must consider, among other expenses, the average monthly electric bill. They 
decide to sample some fast-food restaurants currently operating to estimate the monthly cost of 
electricity. They want to be 90% con?dent of their results and want the error of the interval estimate to 
be no more than $100. They estimate that such bills range from $600 to $2,500. How large a sample 
should they take?

Question 2 

Suppose a study reports that the average price for a gallon of self-serve regular unleaded gasoline is 
$3.16. You believe that the ?gure is higher in your area of the country. You decide to test this claim 
for your part of the United States by randomly calling gasoline stations. Your random survey of 25 
stations produces the following prices (all in $). Assume gasoline prices for a region are normally 
distributed. Do the data you obtained provide enough evidence to reject the claim? Use a 1% level of 
3.27 3.29 3.16 3.20 3.37 
3.20 3.23 3.19 3.20 3.24 
3.16 3.07 3.27 3.09 3.35 
3.15 3.23 3.14 3.05 3.35 
3.21 3.14 3.14 3.07 3.10

Question 3 

Where do CFOs get their money news? According to Robert Half International, 47% get their money 
news from newspapers, 15% get it from communication/colleagues, 12% get it from television, 11% 
from the Internet, 9% from magazines, 5% from radio, and 1% do not know. Suppose a researcher 
wants to test these results. She randomly samples 67 CFOs and ?nds that 40 of them get their 
money news from newspapers. Does the test show enough evidence to reject the ?ndings of Robert 
Half International? Use a = .05.

Question 4 

To answer this question, use the Data Analysis Tool pack in Excel and select “t-Test: Two-Sample 
Assuming Equal Variances” from the list of available tools. Explain your answer (how did you decide if 
men spend more) and include the output table. Some studies have shown that in the United States, 
men spend more than women buying gifts and cards on Valentine’s Day. Suppose a researcher 
wants to test this hypothesis by randomly sampling nine men and 10 women with comparable 
demographic characteristics from various large cities across the United States to be in a study. Each 
study participant is asked to keep a log beginning one month before Valentine’s Day and record all 
purchases made for Valentine’s Day during that one-month period. The resulting data are shown 
below. Use these data and a 1% level of signi?cance to test to determine if, on average, men actually 
do spend signi?cantly more than women on Valentine’s Day. Assume that such spending is normally 
distributed in the population and that the population variances are equal. 
Men Women 
107.48 125.98 
143.61 45.53 
90.19 56.35 
125.53 80.62 
70.79 46.37 
83.00 44.34 
129.63 75.21 
154.22 68.48 
93.80 85.84 

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