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 – e-mail, hand submittals cannot be accepted – 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?

.

 

 

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