# A chain of sport shops catering to beginning skiers,

## Problem 37E Chapter 2

Basic Statistics for Business and Economics | 7th Edition

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Basic Statistics for Business and Economics | 7th Edition

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Problem 37E

A chain of sport shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce customers to buy more. A sample of cash register receipts revealed these initial purchases:

 \$140 \$82 \$265 \$168 \$90 \$114 \$172 \$230 \$142 86 125 235 212 171 149 156 162 118 139 149 132 105 162 126 216 195 127 161 135 172 220 229 129 87 128 126 175 127 149 126 121 118 172 126

a. Arrive at a suggested class interval. Use six classes, and let the lower limit of the first class be \$70.

b. What would be a better class interval?

c. Organize the data into a frequency distribution using a lower limit of \$80.

Step-by-Step Solution:
Step 3 of 5

Solution:

Step1 of 5:

Given a 44 samples of cash register receipts revealed these initial purchases.

 \$140 \$82 \$265 \$168 \$90 \$114 \$172 \$230 \$142 86 125 235 212 171 149 156 162 118 139 149 132 105 162 126 216 195 127 161 135 172 220 229 129 87 128 126 175 127 149 126 121 118 172 126

Step 2 of 5:

a).  To arrive at a suggested class interval.

Here we use 6 classes and the lower limit of the first class be 70.

Then the class interval is

70 to 105

105 to 140

140 to 175

175 to 210

210 to 245

245 to 280.

Step 3 of 5:

b). We have to find the best class interval.

Here we have 44 observations. Then we using  rule.

The 25 = 32, which is less than 44, so 5 classes are not enough.

26 = 64, which is greater than 44.

Hence, I will recommend 6 classes.

Therefore the class interval is

70 to 10

105 to 140

140 to 175

175 to 210

210 to 245

245 to 280.

So this is the better class interval.

Step 4 of 5

Step 5 of 5

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