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S.U5 Test Review

Total questions: 20

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

If the value we are looking for is smaller than the mean, the value of z is:

a)

Not enough information

b)

Negative

c)

Positive

d)

0

2.

If the value we are looking for is the same as the mean, the value of z is:

a)

Not enough information

b)

Positive

c)

Negative

d)

0

3.

What's the probability x > 17?

(Mean = 15, Standard dev = 3)

a)

0.7486

b)

0.7454

c)

0.2514

d)

0.2546

4.

What's the probability of the gray area?

(Mean = 55, Standard dev = 2.5)

a)

0.8185

b)

0.8413

c)

0.8641

d)

0.8389

5.

What's the probability of x < 13 ?

(Mean = 20, Standard dev = 6.5)

a)

0.1423

b)

0.1401

c)

0.0446

d)

0.0359

6.

What's the probability of the highlighted area?

(Mean = 30, Variance = 1)

a)

0.8664

b)

0.7863

c)

0.9332

d)

0.8754

7.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?
a)
-1.33
b)
1.33
c)
0.88
d)
1.02
8.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?
a)
0.3446
b)
0.2856
c)
0.4
d)
0.6554
9.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
10.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
11.
The z-score represents.....
a)
the amount of standard deviations a data value is above or below the mean.
b)
the percentile the data value is above or below the mean.
c)
the amount of standard deviations a data value is above or below the median.
d)
the percent the data value is above or below the mean.
12.
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?
a)
0.67 inch
b)
263 inches
c)
272.44 inches
d)
277.25 inches
13.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
14.
Which is NOT true about the standard normal distribution?
a)
It is bell-shaped.
b)
It is unimodal.
c)
The mean is 0 and the standard deviation is 1.
d)
It is asymmetrical.
15.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored the same or worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

16.

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .

a)

69.98 in

b)

71.18 in

c)

72.40 in

d)

73.01 in

17.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
18.

A grading scale is set up for 1000 students’ test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15. Calculate the score that lies -2 standard deviation from the mean.

a)

60

b)

475

c)

45

d)

9500

19.

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

a)

2.5

b)

-2.5

c)

-0.4

d)

0.4

20.

Based on the graph, who has the highest IQ?

a)

You

b)

Me

c)

Both have the same

d)

Not enough information