The math quiz scores show that =75 and =10. What quiz score is three standard deviations below the mean?

Question 1 options:

A)

45

B)

65

C)

55

D)

85

Suppose X ~ N (10, 6). This says that x is a normally distributed random variable with mean = 10 and standard deviation = 6. Suppose x = 20, then x= 20 means that it is:

Question 2 options:

A)

0.67 below the mean

B)

0.67 above the mean

C)

1.67 above the mean

D)

1.67 below the mean

Suppose X has a normal distribution with mean 80 and standard deviation of 10. Between what values of x do 95% of the values lie?

Question 3 options:

A)

60 and 90

B)

75 and 85

C)

60 and 100

D)

50 and 110

Compute the probability for a random variable X with =10 and =2. Calculate P(X<14).

Question 4 options:

A)

0.8736

B)

0.6827

C)

0.9772

D)

0.1586

The final exam scores in a statistics class were normally distributed with a mean of 70 and a standard deviation of five. What is the probability that a student scored more than 75% on the exam?

Question 5 options:

A)

0,84

B)

0.95

C)

0.16

D)

0.68

The distribution of heights of adult American women is approximately normal with a mean of 64 inches and standard deviation of 2 inches. What percent of women is taller than 68 inches?

Question 6 options:

A)

0.01

B)

0.0014

C)

0.025

D)

0.05

Compute the probability for a random variable X with =10 and =2. Calculate P(9 < X < 11).

Question 7 options:

A)

0.3565

B)

0.3085

C)

0.3829

D)

0.3269

Suppose X ~ N (-3, 1). Between what x values does 68% of the data lie?

Question 8 options:

A)

-3 to -4

B)

-2 to -4

C)

-2 to -3

D)

-1 to -5

Let X have a normal distribution with =10 and =2. Transform X to the standard normal form Z. Match P(X>14).

Question 9 options:

A)

P(Z<-2)

B)

P(Z>2)

C)

P(-2 < Z <2)

D)

P(Z<-1)

If the z score=25, =2 and =50, what is x?

Question 10 options:

A)

100

B)

48

C)

52

D)

75