Question 1

The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99,685. For a female full professor at the same kind of
Institution, the salary is $90,330. If the standard deviation for the salaries of both genders
Is approximately $5200 and the salaries are normally distributed, find the 80th percentile
Salary for the male professors and for female professors, respectively.

Accepted Answer

A)   $100,725 and $91,370
B)   $103,845 and $944,490
C)   $104,053 and $94,698
D)   $95,265 and $85,910

Question 2

Find the area under the standard normal distribution curve to the left of z=1.69. 	ext { Find the area under the standard normal distribution curve to the left of } z = 1.69 	ext {. } Find the area under the standard normal distribution curve to the left of z=1.69.

Accepted Answer

A)   0.9452
B)   0.4452
C)   0.9545
D)   0.4545  C

Question 3

What is the area under the standard normal distribution curve between  z=1.50z = 1.50z=1.50  and  z=2.50?z = 2.50 ?z=2.50?

Accepted Answer

A)   1.00
B)   0.0802
C)   0.0764
D)   0.0606

Question 4

$$\text { The figure below is an example of a negatively skewed distribution. }$$

Accepted Answer

A) True 
 B)False

Question 5

Find the area under the standard normal distribution curve between z=0 and z=2.16. 	ext { Find the area under the standard normal distribution curve between } z = 0 	ext { and } z = 2.16 	ext {. } Find the area under the standard normal distribution curve between z=0 and z=2.16.

Accepted Answer

A)   0.9846
B)   0.4846
C)   0.3708
D)   2.1600

Question 6

The mean annual income for people in a certain city (in thousands of dollars)  is 43, with a standard deviation of 29. A pollster draws a sample of 41 people to interview. What is
The probability that the sample mean income is less than 42 (thousands of dollars) ?

Accepted Answer

A)   0.3483
B)   0.4721
C)   0.5279
D)   0.4129

Question 7

The average diameter of sand dollars on a certain island is 3.00 centimeters with a standard deviation of 1.00 centimeters. If 9 sand dollars are chosen at random for a
Collection, find the probability that the average diameter of those sand dollars is more
Than 2.60 centimeters. Assume that the variable is normally distributed.

Accepted Answer

A)   0.885
B)   0.385
C)   0.615
D)   0.820

Question 8

Use the normal approximation to find the indicated probability. The sample size is population proportion of successes is  ppp , and  XXX  is the number of successes in the sample.
  42 ) ">n=78,p=0.59:P(X>42) n = 78 , p = 0.59 : P ( X > 42 ) n=78,p=0.59:P(X>42)

Accepted Answer

A)   0.8051
B)   0.2236
C)   0.7910
D)   0.7764

Question 9

One normal curve has a mean of 24 and a standard deviation of 3. A second normal curve has a mean of 3 and a standard deviation of 24. The curve that is more dispersed,
Or spread out, is

Accepted Answer

A)   the second normal curve.
B)   the first normal curve.
C)   both; they are equally spread out.
D)   neither; by definition,a normal curve shows no spread. A

Question 10

A ferry will safely accommodate 91 tons of passenger cars. Assume that the mean weight of a passenger car is 2.1 tons with standard deviation 0.7 tons. If a random sample of 40
Cars are loaded onto the ferry, what is the probability that the maximum safe weight will
Be exceeded?

Accepted Answer

A)   0.0655
B)   0.0485
C)   0.0571
D)   0.9429

Question 11

A certain car model has a mean gas mileage of 28 miles per gallon (mpg)  with a standard deviation 5 mpg. A pizza delivery company buys 37 of these cars. What is the probability
That the average mileage of the fleet is between 27.2 and 28.8 mpg?

Accepted Answer

A)   0.1660
B)   0.8340
C)   0.6680
D)   0.3320

Question 12

The correction factor is important if a relatively large
number of samples are taken without replacement from a small population.

Accepted Answer

The answer of The correction factor is important if a...

Question 13

In applied statistics, it is the area under the normal distribution curve which is most
important, not the value of single points on the curve.

Accepted Answer

A) True 
 B)False

Question 14

XXX  is a normally distributed random variable with a mean of  4.04.04.0 . Find the standard deviation of the distribution if  59.10%59.10 \%59.10%  of the data lies to the right of  3.543.543.54 . (Note: the diagram is not necessarily to scale.)

Accepted Answer

A)   2.0
B)   0.5
C)   1.0
D)   1.3

Question 15

The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that the distribution of contributions is normal with a standard deviation
Of $103. Find the limits for the middle 50% of contributions.

Accepted Answer

A)   $723 and $861
B)   $766 and $818
C)   $741 and $844
D)   $758 and $826

Question 16

At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 years, and the distribution is approximately normal.
If an employee is picked at random, what is the probability that the employee has worked
At the store for over 10 years?

Accepted Answer

A)   99.2%
B)   1.7%
C)   49.2%
D)   0.8%

Question 17

The standard deviation of sample means will be larger than the standard deviation of the
population.

Accepted Answer

A) True 
 B)False  False

Question 18

The mean number of pets per household is 2.96 with standard deviation 1.4. A sample of 52 households is drawn. Find the 74th percentile of the sample mean.

Accepted Answer

A)   3.74
B)   3.86
C)   2.57
D)   3.08

Question 19

The average number of mosquitos in a stagnant pond is 80 per square meter with a standard deviation of 12. If 36 square meters are chosen at random for a mosquito count,
Find the probability that the average of those counts is more than 81.8 mosquitos per
Square meter. Assume that the variable is normally distributed.

Accepted Answer

A)   31.6%
B)   81.6%
C)   18.4%
D)   0.3%

Question 20

Find the z-score for which the area to the right is 0.27. 	ext { Find the } z 	ext {-score for which the area to the right is } 0.27 	ext {. } Find the z-score for which the area to the right is 0.27.

Accepted Answer

A)   0.34
B)   0.61
C)   0.82
D)   0.52

Exam 6: The Normal Distribution

Correct Answer
verified

$\text { Find the area under the standard normal distribution curve to the left of } z = 1.69 \text {. }$ $\text { Find the area under the standard normal distribution curve to the left of } z = 1.69 \text {. } A) 0.9452 B) 0.4452 C) 0.9545 D) 0.4545$

Correct Answer
verified
C

What is the area under the standard normal distribution curve between $z = 1.50$ and $z = 2.50 ?$

Correct Answer
verified

$\text { The figure below is an example of a negatively skewed distribution. }$ $\text { The figure below is an example of a negatively skewed distribution. }$

Correct Answer
verified

$\text { Find the area under the standard normal distribution curve between } z = 0 \text { and } z = 2.16 \text {. }$ $\text { Find the area under the standard normal distribution curve between } z = 0 \text { and } z = 2.16 \text {. } A) 0.9846 B) 0.4846 C) 0.3708 D) 2.1600$

Correct Answer
verified

The mean annual income for people in a certain city (in thousands of dollars) is 43, with a standard deviation of 29. A pollster draws a sample of 41 people to interview. What is The probability that the sample mean income is less than 42 (thousands of dollars) ?

Correct Answer
verified

Correct Answer
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Use the normal approximation to find the indicated probability. The sample size is population proportion of successes is $p$ , and $X$ is the number of successes in the sample. $n = 78 , p = 0.59 : P ( X > 42 )$

Correct Answer
verified

One normal curve has a mean of 24 and a standard deviation of 3. A second normal curve has a mean of 3 and a standard deviation of 24. The curve that is more dispersed, Or spread out, is

Correct Answer
verified
A

A ferry will safely accommodate 91 tons of passenger cars. Assume that the mean weight of a passenger car is 2.1 tons with standard deviation 0.7 tons. If a random sample of 40 Cars are loaded onto the ferry, what is the probability that the maximum safe weight will Be exceeded?

Correct Answer
verified

A certain car model has a mean gas mileage of 28 miles per gallon (mpg) with a standard deviation 5 mpg. A pizza delivery company buys 37 of these cars. What is the probability That the average mileage of the fleet is between 27.2 and 28.8 mpg?

Correct Answer
verified

The correction factor is important if a relatively large number of samples are taken without replacement from a small population.

Correct Answer
verified

In applied statistics, it is the area under the normal distribution curve which is most important, not the value of single points on the curve.

Correct Answer
verified

Correct Answer
verified

The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that the distribution of contributions is normal with a standard deviation Of $103. Find the limits for the middle 50% of contributions.

Correct Answer
verified

At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 years, and the distribution is approximately normal. If an employee is picked at random, what is the probability that the employee has worked At the store for over 10 years?

Correct Answer
verified

The standard deviation of sample means will be larger than the standard deviation of the population.

Correct Answer
verified
False

The mean number of pets per household is 2.96 with standard deviation 1.4. A sample of 52 households is drawn. Find the 74th percentile of the sample mean.

Correct Answer
verified

Correct Answer
verified

$\text { Find the } z \text {-score for which the area to the right is } 0.27 \text {. }$

Correct Answer
verified

Exam 6: The Normal Distribution

Correct AnswerverifiedShow Answer

Find the area under the standard normal distribution curve to the left of z=1.69. \text { Find the area under the standard normal distribution curve to the left of } z = 1.69 \text {. } Find the area under the standard normal distribution curve to the left of z=1.69.

Correct AnswerverifiedC

What is the area under the standard normal distribution curve between z=1.50z = 1.50z=1.50 and z=2.50?z = 2.50 ?z=2.50?

Correct AnswerverifiedShow Answer

The figure below is an example of a negatively skewed distribution. \text { The figure below is an example of a negatively skewed distribution. } The figure below is an example of a negatively skewed distribution.

Correct AnswerverifiedShow Answer

Find the area under the standard normal distribution curve between z=0 and z=2.16. \text { Find the area under the standard normal distribution curve between } z = 0 \text { and } z = 2.16 \text {. } Find the area under the standard normal distribution curve between z=0 and z=2.16.

Correct AnswerverifiedShow Answer

The mean annual income for people in a certain city (in thousands of dollars) is 43, with a standard deviation of 29. A pollster draws a sample of 41 people to interview. What is The probability that the sample mean income is less than 42 (thousands of dollars) ?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Use the normal approximation to find the indicated probability. The sample size is population proportion of successes is ppp , and XXX is the number of successes in the sample. n=78,p=0.59:P(X>42) n = 78 , p = 0.59 : P ( X > 42 ) n=78,p=0.59:P(X>42)

Correct AnswerverifiedShow Answer

One normal curve has a mean of 24 and a standard deviation of 3. A second normal curve has a mean of 3 and a standard deviation of 24. The curve that is more dispersed, Or spread out, is

Correct AnswerverifiedA

A ferry will safely accommodate 91 tons of passenger cars. Assume that the mean weight of a passenger car is 2.1 tons with standard deviation 0.7 tons. If a random sample of 40 Cars are loaded onto the ferry, what is the probability that the maximum safe weight will Be exceeded?

Correct AnswerverifiedShow Answer

A certain car model has a mean gas mileage of 28 miles per gallon (mpg) with a standard deviation 5 mpg. A pizza delivery company buys 37 of these cars. What is the probability That the average mileage of the fleet is between 27.2 and 28.8 mpg?

Correct AnswerverifiedShow Answer

The correction factor is important if a relatively large number of samples are taken without replacement from a small population.

Correct AnswerverifiedShow Answer

In applied statistics, it is the area under the normal distribution curve which is most important, not the value of single points on the curve.

Correct AnswerverifiedShow Answer

XXX is a normally distributed random variable with a mean of 4.04.04.0 . Find the standard deviation of the distribution if 59.10%59.10 \%59.10% of the data lies to the right of 3.543.543.54 . (Note: the diagram is not necessarily to scale.)

Correct AnswerverifiedShow Answer

The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that the distribution of contributions is normal with a standard deviation Of $103. Find the limits for the middle 50% of contributions.

Correct AnswerverifiedShow Answer

At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 years, and the distribution is approximately normal. If an employee is picked at random, what is the probability that the employee has worked At the store for over 10 years?

Correct AnswerverifiedShow Answer

The standard deviation of sample means will be larger than the standard deviation of the population.

Correct AnswerverifiedFalse

The mean number of pets per household is 2.96 with standard deviation 1.4. A sample of 52 households is drawn. Find the 74th percentile of the sample mean.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Find the z-score for which the area to the right is 0.27. \text { Find the } z \text {-score for which the area to the right is } 0.27 \text {. } Find the z-score for which the area to the right is 0.27.

Correct AnswerverifiedShow Answer

Correct Answer
verified

$\text { Find the area under the standard normal distribution curve to the left of } z = 1.69 \text {. }$ $\text { Find the area under the standard normal distribution curve to the left of } z = 1.69 \text {. } A) 0.9452 B) 0.4452 C) 0.9545 D) 0.4545$

Correct Answer
verified
C

What is the area under the standard normal distribution curve between $z = 1.50$ and $z = 2.50 ?$

Correct Answer
verified

$\text { The figure below is an example of a negatively skewed distribution. }$ $\text { The figure below is an example of a negatively skewed distribution. }$

Correct Answer
verified

$\text { Find the area under the standard normal distribution curve between } z = 0 \text { and } z = 2.16 \text {. }$ $\text { Find the area under the standard normal distribution curve between } z = 0 \text { and } z = 2.16 \text {. } A) 0.9846 B) 0.4846 C) 0.3708 D) 2.1600$

Correct Answer
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Correct Answer
verified

Correct Answer
verified

Use the normal approximation to find the indicated probability. The sample size is population proportion of successes is $p$ , and $X$ is the number of successes in the sample. $n = 78 , p = 0.59 : P ( X > 42 )$

Correct Answer
verified

Correct Answer
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A

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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False

Correct Answer
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Correct Answer
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$\text { Find the } z \text {-score for which the area to the right is } 0.27 \text {. }$

Correct Answer
verified