## Statistics-NYIT TAKE-HOME QUIZ ON NORMAL DISTRIBUTION

NYIT

TAKE-HOME QUIZ ON NORMAL DISTRIBUTIONDue

Friday, March 13 by 6pm EST by posting in the applicable Blackboard assessment

tab â e-mail, hand submittals cannot be accepted â shortly after 6pm, I will

post solution for your review and revision if like to enhance grade.

1.

The distribution of the

annual incomes of foremen at the Marvin Window Company approximated a normal

distribution with a mean of $37,200 and a standard deviation of $800. About

68% of the incomes lie between what two incomes?

2.

Which of the following

is true in a normal distribution?

A.

The mean equals zero.

B.

The mode and the third

quartile are equal.

C.

The mean divides the

distribution into two equal areas.

D.

The area under the

curve is 0.68.

3.

Tables of normal

distribution probabilities are found in many statistics books. These

probabilities are calculated from a normal distribution with

___________.

A.

A mean of 1 and a

standard deviation of 1

B.

A mean of 100 and a

standard deviation of 15

C.

A mean of 0 and a

standard deviation of 15

D.

A mean of 0 and a

standard deviation of 1

4.

Two normal distributions

are compared. One has a mean of 10 and a standard deviation of 10. The second

normal distribution has a mean of 10 and a standard deviation of 2. Which of

the following is true?

A.

The locations of the

distributions are different.

B.

The distributions are

from two different families of distributions.

C.

The dispersions of the

distributions are different.

D.

The dispersions of the

distributions are the same.

5.

A normally distributed

random variable has _________.

A.

Any value between -∞

and + ∞.

B.

Discrete values.

C.

Any value between

specified minimum and maximum values.

D.

Only two values, success

and failure.

6.

The total area of a

normal probability distribution is _______.

A.

Between -3.0 and 3.0

B.

1.00

C.

Dependent on a value

of “z”

D.

Approximated by the

binomial distribution

7.

In an illustration of a

normal probability distribution, a shaded area represents _______.

A.

A permutation

B.

A combination

C.

A probability

D.

A standard deviation

8.

The standard normal

probability distribution is unique because it has _________.

A.

A mean of 1 and any

standard deviation

B.

Any mean and a

standard deviation of 1

C.

A mean of 0 and any

standard deviation

D.

A mean of 0 and a

standard deviation of 1

9.

The weekly mean income

of a group of carpenters is $1,000 and the standard deviation of this group

is $100. The distribution is normal. What percent of the carpenters have an

income of $925 or less?

10.

A candy bar is normally

distributed with a mean of 1,000 grams and a standard deviation of 50 grams.

What percent of the candy bars weigh 860 grams or less?

11.

What is a normal

distribution with a mean of 0 and a standard deviation of 1 called?

A.

Frequency distribution

B.

Z-score

C.

Standard normal

distribution

D.

Binomial probability

distribution

12.

The mean weight of a

watermelon plant is 15.0 pounds, and the standard deviation of the normally

distributed weights is 1.75 pounds. Of 200 watermelons, how many weighed

between 13 and 16 pounds?

13.

The Marvin Window Company

estimated that the distribution of the time for two construction workers to

install 50 custom window sets is normally distributed with a mean of 32 hours

and a standard deviation of 2 hours. What percent of 50 window sets take

between 32 and 34 hours to erect?

.