Quiz about Normal Calculations Practice

Question 1

The weights of paper discarded each week by households are normally distributed with a mean of 9.43 pounds and a standard deviation of 4.17 pounds. What percent of households discard between 10 and 12 pounds?

Accepted Answer

17.68%

Answer

6.50%

Answer

28.55%

Answer

82.32%

Question 2

The weights of paper discarded each week by households are normally distributed with a mean of 9.43 pounds and a standard deviation of 4.17 pounds. What percent of households throw out fewer than 2 pounds of paper each week?

Accepted Answer

3.74%

Answer

96.26%

Answer

48.13%

Answer

1.87%

Question 3

Heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The Beanstalk Club, a social organization for tall people, has a requirement that women must be at least 70 inches tall. What percentage of adult women meets the requirement to join the club?

Accepted Answer

0.52%

Answer

5%

Answer

99.48%

Answer

95%

Question 4

The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What percent of pregnancies will last fewer than 8 months (approximately 240 days)?

Accepted Answer

3.10%

Answer

13.14%

Answer

96.9%

Answer

86.86%

Question 5

Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8).  Pat scores a 76 and Chris scored a 94.  What percent of individuals would score between Pat and Chris?

Accepted Answer

65.1%

Answer

26.8%

Answer

96%

Answer

4%

Question 6

Why is the highest part of the normal curve in the middle? 2 answers

Accepted Answer

the further from the mean, the less likely something is

Accepted Answer

Most people tend to fall around the average

Answer

data is never skewed left or right

Answer

when you square things, they always end up in the middle

Question 7

What is standard deviation?

Accepted Answer

average distance that data points are from the average

Answer

good question

Answer

how standardly something deviates

Answer

Idk but I should probably find out pretty soon

Question 8

What percent of people are 3 standard deviations above the mean?

Accepted Answer

.15%

Answer

34%

Answer

68%

Answer

2.35%

Question 9

What percent of people within 1 standard deviation of the mean?

Accepted Answer

68%

Answer

99.7%

Answer

34%

Answer

95%

Question 10

What percent of people within 2 standard deviations of the mean?

Accepted Answer

95%

Answer

99.7%

Answer

34%

Answer

68%

Question 11

What percent of people within 3 standard deviations of the mean?

Accepted Answer

99.7%

Answer

34%

Answer

68%

Answer

95%

Question 12

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

Accepted Answer

68%

Answer

99.7%

Answer

95%

Answer

84%

Question 13

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?

Accepted Answer

1106 to 1194 pounds

Answer

1084 to 1216 pounds

Answer

1106 to 1150 pounds

Answer

1128 to 1172 pounds

Question 14

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.

Accepted Answer

28,000 km and 32,000 km.

Answer

24,000 km and 34,000 km.

Answer

26,000 km and 34,000 km.

Answer

27,000 km and 31,000 km.

Question 15

What shape is a normal distribution curve?

Accepted Answer

Bell curve

Answer

Half curve

Answer

Round curve

Answer

Square curve

Question 16

The Empirical (68-95-99.7) Rule can only be applied when a curve is....

Accepted Answer

Normally Distributed

Answer

Uniform

Answer

Has no Mean

Answer

Has both mean and standard deviation regardless of shape

Question 17

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall?

Accepted Answer

-2

Answer

-5

Answer

2

Answer

5

Question 18

What is the purpose of z-scores?

Accepted Answer

to describe the exact location of a score within a distribution

Answer

to find the mean of the distribution

Answer

to describe the shape of the distribution

Answer

to find the standard deviation of the distribution

Question 19

Transforming raw scores to z-scores will change the shape of the distribution

Accepted Answer

False

Answer

True

Question 20

The mean of the z-score will always be zero even though the raw scores is 100

Accepted Answer

True

Answer

False

Question 21

The distribution of z-scores will always have a standard deviation of 1

Accepted Answer

True

Answer

False

Normal Calculations Practice

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