Question

The proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes was 0.9 − 0.4 ln(t) (for t > 1). Find the proportion that remembered the number for 7 minutes. (Round your answer to one decimal place.)

Answer 1

The proportion would be 0.1

Explanation:

Given, the function that shows the proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes,

`f(t) = 0.9 - 0.4\ln(t)`

If t = 7 minutes,

`f(7) = 0.9 - 0.4\ln(7)=0.9 - 0.77836=0.12164\approx 0.1`

Hence, the proportion that remembered the number for 7 minutes is 0.1 ( approx )