A chain of sport shops catering to beginning skiers,

Chapter 2, Problem 37E

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QUESTION:

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:

\(\begin{array}{|rrrrrrrrr|}
\hline \$ 140 & \$ 82 & \$ 265 & \$ 168 & \$ 90 & \$ 114 & \$ 172 & \$ 230 & \$ 142 \\
86 & 125 & 235 & 212 & 171 & 149 & 156 & 162 & 118 \\
139 & 149 & 132 & 105 & 162 & 126 & 216 & 195 & 127 \\
161 & 135 & 172 & 220 & 229 & 129 & 87 & 128 & 126 \\
175 & 127 & 149 & 126 & 121 & 118 & 172 & 126 & \\
\hline
\end{array}\)

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.

d. Interpret your findings.

Questions & Answers

QUESTION:

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:

\(\begin{array}{|rrrrrrrrr|}
\hline \$ 140 & \$ 82 & \$ 265 & \$ 168 & \$ 90 & \$ 114 & \$ 172 & \$ 230 & \$ 142 \\
86 & 125 & 235 & 212 & 171 & 149 & 156 & 162 & 118 \\
139 & 149 & 132 & 105 & 162 & 126 & 216 & 195 & 127 \\
161 & 135 & 172 & 220 & 229 & 129 & 87 & 128 & 126 \\
175 & 127 & 149 & 126 & 121 & 118 & 172 & 126 & \\
\hline
\end{array}\)

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.

d. Interpret your findings.

ANSWER:

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

 

 

 


 

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