The college Physical Education Department offered an Advanced First Aid course l
ID: 3130631 • Letter: T
Question
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.
(a) Which of these students scored above the mean? (Select all that apply.)
1
JanJoelJuanLindaRobertSusan
(b) Which of these students scored on the mean? (Select all that apply.)
Jan Joel Juan Linda Robert Susan
(c) Which of these students scored below the mean? (Select all that apply.)
Jan Joel Juan Linda Robert Susan
(d) If the mean score was = 150 with standard deviation = 21, what was the final exam score for each student? (Round your answers to the nearest whole number.)
Robert, 1.06 Juan, 1.88 Susan, –2.13 Joel, 0.00 Jan, –0.92 Linda, 1.73Explanation / Answer
The z scores are scores which are normally distributed with mean 0 and variance 1.
(a) Students who scored above the mean = Students such that their z-score >0:
Juan
Linda
Robert
(b) Students who scored on the mean = Students such that their z-score =0:
Joel
(c)Students who scored below the mean = Students such that their z-score <0:
Jan
Susan
(d) Mean score, = 150 with standard deviation = 21
Final exam score,X = + Z =150 +21z
Student name z score Final Score Robert 1.06 172 Joel 0 150 Jan -0.92 131 Juan 1.88 189 Susan -2.13 105 Linda 1.73 186