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

Answer:

The proportion would be 0.1

Step-by-step 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 )