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 44 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.
d. Interpret your findings.

Answer 1

Answer:

Kindly check explanation

Explanation:

Given the data:

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

70 - 104

105 - 139

140 - 174

175 - 209

210 - 244

245 - 279

B.) Using a class interval of 30; with lower limit of 80;

Class interval ___frequency __R/frequency

80 - 110 ________ 5 ________ 11.4

111 - 141 ________ 17 ________38.6

142 - 172 _______13 ________29.5

173 - 203 ______ 2 _________0.05

204 - 234 ______5 _________11.4

235 - 265 ______2 _________0.05

From the frequency table above, we can observe that the initial amount a beginner expends on supplies is largely between $111 to $172 ; with 38.6% of the collected samples spending between $111 and $141 and 29.5% spending between $142 and $172.