Math Problem Statement

Customer Expenditures 1 1283 2 1039 3 1179 4 1224 5 1279 6 1231 7 630 8 1734 9 647 10 1257 11 1773 12 1292 13 1679 14 1542 15 1555 16 1673 17 1198 18 803 19 1212 20 1261 21 891 22 1400 23 1289 24 1101 25 1369 26 1609 27 1713 28 1471 29 2045 30 1016 31 670 32 548 33 1300 34 1663 35 835 36 1130 37 1249 38 808 39 1186 40 1663 41 1042 42 1885 43 1485 44 1189 45 1280 46 1225 47 1079 48 1717 49 875 50 1555 51 1726 52 1858 53 992 54 1631 55 1565 56 1541 57 1279 58 1405 59 1288 60 1147 61 1195 62 1393 63 1427 64 674 65 572 66 1074 67 864 68 492 69 1526 70 1782 71 1711 72 1683 73 1611 74 1141 75 1382 76 1309 77 1433 78 2177 79 1411 80 1140 81 1688 82 1616 83 1036 84 1663 85 1017 86 1264 87 1866 88 1516 89 1170 90 1441 91 1331 92 1556 93 943 94 976 95 1581 96 1005 97 960 98 1193 99 1538 100 1363 Exercise 2-28 Algo Amazon Prime is a $139-per-year service that gives the company’s customers free two-day shipping and discounted rates on overnight delivery. Prime customers also get other perks, such as free e-books. The accompanying data file shows the annual expenditures (in $) for 100 Prime customers.

Click here for the Excel Data File

a-1. Construct the frequency distribution for Expenditures. Use six intervals with widths of 400 < x ≤ 700, 700 < x ≤ 1,000, etc.

a-2. How many customers spent between $701 and $1,000?

b-1. What proportion of the customers spent $1,300 or less?

Note: Round your answer to 2 decimal places.

b-2. What proportion of customers spent more than $1,300?

Note: Round your answer to 2 decimal places.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Proportions
Intervals

Formulas

Frequency distribution: Grouping data into intervals
Proportion: (Number of customers in a range) / (Total number of customers)

Theorems

Basic Proportion Theorem
Frequency Distribution Calculation

Suitable Grade Level

Grades 10-12