PSYC 2317 EXAM 1

1. A. Create a frequency distribution with the following data:

42 33 34 42 31 45 12 13 47 42

50 22 32 41 22 25 33 47 25 49

X f cum f p % cum %

46-50 4 20 .20 20 100

41-45 5 16 .25 25 80

36-40 0 11 0 0 55

31-35 5 11 .25 25 55

26-30 0 6 0 0 30

21-25 4 6 .20 20 30

16-20 0 2 0 0 10

11-15 2 2 .10 10 10

B. Calculate the following probabilities with µ=10 and σ=3.

p(X > 11.5)

z= .5

p= .3085

p(X < 12.3)

z= .77

p= .7774

p(11.4 < X < 12.7)

z= -47

z= .90

p= .1351

p(8.2 < X < 10.4)

z= -.6

z= .13

p= .2774

p( M < 10.1); n=100

z= .33

p= .6293

p( 10.2 < M < 10.4); n=25

z= .33

z= .67

p= .1193

p( 9.8 < M < 10.23); n=64

z= -.53

z= .61

p= .4310

p( 9.75 < M 9.88); n=16

z= -.33

z= -.16

p= .0657

p( M > 8.0); n=16

z= -2.67

p= .9962

p( M > 8.0); n=100

z= -6.67

p=1