Question 4 (5 points)The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standarddeviation of 5 pointsAbout what percent of students have scored between 55 and 65 points? a. 2.5b. 47.5c. 68d. 34
Accepted Solution
A:
Answer:Option CStep-by-step explanation:GivenMean= μ=60andStandard Deviation= σ=5In order to calculate the percentage of students between 55 and 65, we have to calculate z-score for bothz-score for 55=(55-60)/5 =(-5)/5=-1The area to the left of z-score -1 is 0.1587z-score for 65=(65-60)/5 =5/5=1The area to the left of z-score 1 is 0.8413Area between z-scores of 55 and 65=0.8413-0.1587=0.6826Converting into percentage=0.6826*100=68.26%Option C is the correct answer ..