At a community college it is known that the grade point average (GPA) of all stu

Question

At a community college it is known that the grade point average (GPA) of all students has a distribution which is both mound shaped and symmetric. The mean of the distribution is 2.89 with a standard deviation of 0.37. It has been decided by the Faculty Senate that all students with GPAs in the top 16% will graduate with honors. What is the minimum GPA that qualifies a student to graduate with honors? Select one: A. 3.26 B. 3.60 C. 3.65 D. 3.70 E. None of the above Which of the following variable(s) are both quantitative and continuous? 1. The amount of tar in a cigarette, measured in milligrams (mg). 2. The number of people living in a house. 3. The time it takes in minutes for a student to walk from the parking lot to their classroom.

Explanation / Answer

We have to find the z-value that corresponds to 0.84

mean = 2.89
sd = 0.37

We want a z = 0.994458   .........................(Use =NORMSINV(0.84) excel function to calculate z)

z = (x-mean)/sd
0.994458 = (x-2.89)/0.37
x - 2.89 = 0.36795
x = 3.26

So correct option is first 3.26.

Hope this will be helpful. Thanks and thumbs up. God Bless You :-)

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