2. Exam Scores. A final standard deviation of 4.2. Find I examination for a psyc

Question

2. Exam Scores. A final standard deviation of 4.2. Find I examination for a psychology course has a mean of 84.7 and a the corresponding z-scores for each raw scores a) 87. b) 79. c) 93. d) 76. 3. Teacher's Salary. The average teacher's salary in a particular state is $34,166.00. If the standard deviation is $10,200.00, find the salaries corresponding to the following 2- a) 242 b)0.15 c)-1.24 d) -08 4 Grade Point Averages. The average undergraduate grade point average (GPA) for 25 top- ranked medical schools is listed below. 3.80 3.77 3.73.74 370 386 3763683.67 357 3.83 3.70 3.80374 3.67 378 374 373 3.65 3.66 3.75 3.64 3.78 373364 a) Find the percentile rank of 365 b) Find the percentile rank of 3.74 c) Find the 40 percentile d) Find the 90 percentile

Explanation / Answer

Question 2:
mean = 84.7
std. dev. = 4.2

In order to find z-score we use central limit theorem as follows
z = (xbar - mu)/sigma

a) xbar = 87
z = (87 - 84.7)/4.2 = 0.5476

b) xbar = 79
z = (79 - 84.7)/4.2 = -1.3571

c) xbar = 93
z = (93 - 84.7)/4.2 = 1.9762

d) xbar = 76
z = (76 - 84.7)/4.2 = -2.0714

Question 3:
mean = 54166
std. dev. = 10200

xbar = mu + z*sigma

a) z = 2.42
xbar = 54166 + 2.42*10200 = 78850

b) z = 0.15
xbar = 54166 + 0.15*10200 = 55696

c) z = -1.24
xbar = 54166 -1.24*10200 = 41518

d) z = -0.8
xbar = 54166 -0.8*10200 = 46006

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