SOLUTION: Please Help!! Thank you!!! The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally dis

Question 459069: Please Help!! Thank you!!!
The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.
Robert, 1.28 Juan, 1.89 Susan, �1.95
Joel, 0.00 Jan, �0.96 Linda, 1.46
If the mean score was μ = 149 with standard deviation σ = 20, what was the final exam score for each student? (Round your answers to the nearest whole number.)
Robert
Joel
Jan
Juan
Susan
Linda
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Recall that the z score is based on the formula where is the mean and is the standard deviation. (note: the z score tells you where this score lies with respect to the mean and how far it is away from the mean)

In this case, you're given the value of z (the standard z score) for each person, and they want you to find x (the actual score)

So in the case of Robert for instance, he has a z score of 1.28

So for Robert.

Plug this into the formula above to get

Now plug in and

Now let's solve for x

So in Robert's case, when , then

So Robert's actual score is 174.6

Round this to the nearest whole number (as instructed) to get 175.

So Robert's final exam score to the nearest whole number is 175.

Simply repeat these steps to find the final exam scores for the rest of the students.
RELATED QUESTIONS
The college Physical Education Department offered an Advanced First Aid course last... (answered by ewatrrr)

The college Physical Education Department offered an Advanced First Aid course last... (answered by stanbon)

I need help please on the following: To remain on financial aid, Millie needs to complete (answered by stanbon)

Please help with the following problem: Angelica's financial aid stipulates that her... (answered by LilSkittleMd)

Could you please help me solve the word problem below. I would really appriciate it: (answered by stanbon)

An arithmetic student needs an average of 70 or more to receive credit for the course.... (answered by longjonsilver)

Sam must have an average of 70 or more in his summer course to obtain a grade of C. His... (answered by stanbon)

Hello: I am returning to college after 20 years. I am taking a algevra course this... (answered by MathLover1)

Can someone please help me on this problem? Sam must have an average of 70 or more... (answered by stanbon)