Question

each morning and evening, a local running club tracks whether runners bring water bottles. the coach collects this data to see if time of day affects hydration habits. question 1 what is the relative frequency (as a decimal) of runners who brought water among morning runners? 0.3 0.33 0.65 0.5 question 2 what does the data suggest about the relationship between time of day and bringing a water bottle?

Explanation:

Step1: Recall the formula for relative frequency

Relative frequency = \( \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)

Step2: Identify the values from the table

For morning runners, the number of runners who brought water (favorable outcomes) is \( 13 \), and the total number of morning runners (total outcomes) is \( 20 \).

Step3: Calculate the relative frequency

\( \frac{13}{20} = 0.65 \)

Looking at the data, in the morning \( 13\) out of \( 20\) runners brought water bottles (\(0.65\) relative frequency), while in the evening \(6\) out of \(20\) runners brought water bottles (\(0.3\) relative frequency). This shows a difference in hydration habits based on the time of day.

Answer:

\( 0.65 \) (the third option)

For Question 2 (using Answer - Explanation Format):