Statistics, I\'m not sure if I\'m correct. Suppose that grade point averages of

Question

Statistics, I'm not sure if I'm correct. Suppose that grade point averages of undergraduate students at one university have a bell-shape distribution with a mean of 2.54 and a standard deviation of 0.45. Using the emperical rule, what percentage of the students have grade point averages that are greater than 3.44? Please do not round your answer.

0/10 Question 1 of 9, Step 1 of 1 Suppose that grade point averages of undergraduate students at one universty have a belshaped distributon with amean of 254 anda standard deviaton of045 using the empirical rule, what percentage of the students have grade point averages that are greater than 3A4? Please do not round your answer Tables Keypad Hide

Explanation / Answer

You can use the below formula to compute it:-

z=(x-)/

z=(3.44-2.54)/0.45

z=0.90/0.45

z=2

As per the empirical rule 95% (95.45% to be precise) of the observations are within +-2 . Hence 4.45/2 on higher side which means 2.28% is the correct answer.

Also, as per the z table it should be 1-0.9772=0.0228=2.28%

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