Question

Use the table to answer the question.

Purchases More than 2 Pairs per Year

Purchases 2 Pairs or Less per Year

Total
Runs More than 5 Miles per Week

42 28 70
Runs Less than 5 Miles per Week

15 32 47
A running shoe company is collecting data on long-distance runners. The company’s research analyst asked runners how many pairs of running shoes they purchase each year and how many miles they run each week, on average. The results are summarized in the table. Determine if there is an association between the number of miles an individual runs per week and how many pairs of running shoes they purchase per year. Create a conditional relative frequency table of the data. Use your table to support your reasoning. Explain your reasoning in 3–5 sentences.

(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if there is an association between the number of miles a runner runs per week and the number of pairs of running shoes they purchase per year, we can create a conditional relative frequency table. By looking at the table provided, we can see that out of the total of 70 runners who purchase more than 2 pairs of shoes per year, 42 of them run more than 5 miles per week. On the other hand, out of the total of 47 runners who purchase 2 or fewer pairs of shoes per year, only 15 of them run more than 5 miles per week. This suggests that runners who run more miles per week are more likely to purchase more pairs of shoes per year. The conditional relative frequency table will further highlight this association.