Question 1

$$\text { Find the probability } P ( - 1.04 < z < 1.11 ) \text { using the standard normal distribution. }$$

Accepted Answer

A)  0.7173 
B)  0.8407 
C)  0.2827 
D)  0.6741 
A)  0.7173 
B)  0.8407 
C)  0.2827 
D)  0.6741

Question 2

$$\text { The area under the standard normal distribution curve to the right of } z = 1.83 \text { is } 0.4664 \text {. }$$

Accepted Answer

A) True 
 B)False

Question 3

When the data values are evenly distributed about the mean, the distribution is
said to be .

Accepted Answer

The answer of When the data values are evenly distributed...

Question 4

Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the
First aid merit badge?

Accepted Answer

A)  86.6% 
B)  36.6% 
C)  81.3% 
D)  31.3% 
A)  86.6% 
B)  36.6% 
C)  81.3% 
D)  31.3%

Question 5

Stating that the area under the standard normal distribution curve between $z = 0$ and $z = 1.00$ is $0.3413$, is the same as stating that the of randomly selecting a standard normally distributed variable $z$ with a value between 0 and $1.00$ is $0.3413$.

Accepted Answer

The answer of Stating that the area under the standard...

Question 6

For a normal distribution with a mean of 7 and a standard deviation of 6 , the value has a $z$ value of

Accepted Answer

A)  0.5 
B)  -0.5 
C)  1.5 
D)  2.5 
A)  0.5 
B)  -0.5 
C)  1.5 
D)  2.5

Question 7

In the distribution shown, state the mean and standard deviation. Hint: The vertical lines are 1 standard deviation apart.

Accepted Answer

A)  
$\begin{array}{l}
\mu=1 \
\sigma=4.8
\end{array}$ 
B) 
$\begin{array}{l}
\mu=164 \
\sigma=423
\end{array}$ 
C) 
$\begin{array}{l}
\mu=1 \
\sigma=23
\end{array}$ 
D) 
$\begin{array}{l}
\mu=164 \
\sigma=4.8
\end{array}$ 
A)  
$\begin{array}{l}
\mu=1 \
\sigma=4.8
\end{array}$ 
B) 
$\begin{array}{l}
\mu=164 \
\sigma=423
\end{array}$ 
C) 
$\begin{array}{l}
\mu=1 \
\sigma=23
\end{array}$ 
D) 
$\begin{array}{l}
\mu=164 \
\sigma=4.8
\end{array}$

Question 8

A gardener buys a package of seeds. Seventy-six percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that fewer than 77 seeds
Germinate.

Accepted Answer

A)  0.0559 
B)  0.9599 
C)  0.9441 
D)  0.0401 
A)  0.0559 
B)  0.9599 
C)  0.9441 
D)  0.0401

Question 9

The mean annual income for people in a certain city (in thousands of dollars) is 41, with a standard deviation of 34. A pollster draws a sample of 58 people to interview. What is
The probability that the sample mean income is between 38 and
44 (thousands of dollars)?

Accepted Answer

A)  0.5029 
B)  0.4971 
C)  0.7486 
D)  0.2514 
A)  0.5029 
B)  0.4971 
C)  0.7486 
D)  0.2514

Question 10

What is the $z$ value such that $50 \%$ of the total area under the standard normal distribution curved lies to the right of it?

Accepted Answer

The answer of What is the $z$ value such that...

Question 11

In a standard normal distribution, what $z$ value corresponds to $17 \%$ of the data between the mean and the $z$ value?

Accepted Answer

A)  2.10 
B)  1.25 
C)  0.52 
D)  0.44 
A)  2.10 
B)  1.25 
C)  0.52 
D)  0.44

Question 12

$$\text { Find the } z \text {-scores that bound the middle } 74 \% \text { of the area under the standard normal curve. }$$

Accepted Answer

A)  -0.99, 0.99 
B)  -1.13, 1.13 
C)  -1.07, 1.07 
D)  -1.24, 1.24 
A)  -0.99, 0.99 
B)  -1.13, 1.13 
C)  -1.07, 1.07 
D)  -1.24, 1.24

Question 13

$$\text { Find the probability } P ( 0.16 < z < 1.23 ) \text { using the standard normal distribution. }$$

Accepted Answer

A)  0.6729 
B)  0.3600 
C)  0.8271 
D)  0.3271 
A)  0.6729 
B)  0.3600 
C)  0.8271 
D)  0.3271

Question 14

$$\text { Find the probability } P ( 0 < z < 1.67 ) \text {, using the standard normal distribution. }$$

Accepted Answer

A)  42.07% 
B)  45.54% 
C)  45.25% 
D)  35.54% 
A)  42.07% 
B)  45.54% 
C)  45.25% 
D)  35.54%

$\text { Find the probability } P ( - 1.04 < z < 1.11 ) \text { using the standard normal distribution. }$

$\text { The area under the standard normal distribution curve to the right of } z = 1.83 \text { is } 0.4664 \text {. }$

When the data values are evenly distributed about the mean, the distribution is said to be .

Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the First aid merit badge?

Stating that the area under the standard normal distribution curve between $z = 0$ and $z = 1.00$ is $0.3413$ , is the same as stating that the of randomly selecting a standard normally distributed variable $z$ with a value between 0 and $1.00$ is $0.3413$ .

For a normal distribution with a mean of 7 and a standard deviation of 6 , the value has a $z$ value of

In the distribution shown, state the mean and standard deviation. Hint: The vertical lines are 1 standard deviation apart.

A gardener buys a package of seeds. Seventy-six percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that fewer than 77 seeds Germinate.

The mean annual income for people in a certain city (in thousands of dollars) is 41, with a standard deviation of 34. A pollster draws a sample of 58 people to interview. What is The probability that the sample mean income is between 38 and 44 (thousands of dollars)?

What is the $z$ value such that $50 \%$ of the total area under the standard normal distribution curved lies to the right of it?

In a standard normal distribution, what $z$ value corresponds to $17 \%$ of the data between the mean and the $z$ value?

$\text { Find the } z \text {-scores that bound the middle } 74 \% \text { of the area under the standard normal curve. }$

$\text { Find the probability } P ( 0.16 < z < 1.23 ) \text { using the standard normal distribution. }$

$\text { Find the probability } P ( 0 < z < 1.67 ) \text {, using the standard normal distribution. }$

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 6: The Normal Distribution

Find the probability P(−1.04<z<1.11) using the standard normal distribution. \text { Find the probability } P ( - 1.04 < z < 1.11 ) \text { using the standard normal distribution. } Find the probability P(−1.04<z<1.11) using the standard normal distribution.

The area under the standard normal distribution curve to the right of z=1.83 is 0.4664. \text { The area under the standard normal distribution curve to the right of } z = 1.83 \text { is } 0.4664 \text {. } The area under the standard normal distribution curve to the right of z=1.83 is 0.4664.

When the data values are evenly distributed about the mean, the distribution is said to be .

Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the First aid merit badge?

Stating that the area under the standard normal distribution curve between z=0z = 0z=0 and z=1.00z = 1.00z=1.00 is 0.34130.34130.3413 , is the same as stating that the of randomly selecting a standard normally distributed variable zzz with a value between 0 and 1.001.001.00 is 0.34130.34130.3413 .

For a normal distribution with a mean of 7 and a standard deviation of 6 , the value has a zzz value of

In the distribution shown, state the mean and standard deviation. Hint: The vertical lines are 1 standard deviation apart.

A gardener buys a package of seeds. Seventy-six percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that fewer than 77 seeds Germinate.

The mean annual income for people in a certain city (in thousands of dollars) is 41, with a standard deviation of 34. A pollster draws a sample of 58 people to interview. What is The probability that the sample mean income is between 38 and 44 (thousands of dollars)?

What is the zzz value such that 50%50 \%50% of the total area under the standard normal distribution curved lies to the right of it?

In a standard normal distribution, what zzz value corresponds to 17%17 \%17% of the data between the mean and the zzz value?

Find the z-scores that bound the middle 74% of the area under the standard normal curve. \text { Find the } z \text {-scores that bound the middle } 74 \% \text { of the area under the standard normal curve. } Find the z-scores that bound the middle 74% of the area under the standard normal curve.

Find the probability P(0.16<z<1.23) using the standard normal distribution. \text { Find the probability } P ( 0.16 < z < 1.23 ) \text { using the standard normal distribution. } Find the probability P(0.16<z<1.23) using the standard normal distribution.

Find the probability P(0<z<1.67), using the standard normal distribution. \text { Find the probability } P ( 0 < z < 1.67 ) \text {, using the standard normal distribution. } Find the probability P(0<z<1.67), using the standard normal distribution.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

$\text { Find the probability } P ( - 1.04 < z < 1.11 ) \text { using the standard normal distribution. }$

$\text { The area under the standard normal distribution curve to the right of } z = 1.83 \text { is } 0.4664 \text {. }$

Stating that the area under the standard normal distribution curve between $z = 0$ and $z = 1.00$ is $0.3413$ , is the same as stating that the of randomly selecting a standard normally distributed variable $z$ with a value between 0 and $1.00$ is $0.3413$ .

For a normal distribution with a mean of 7 and a standard deviation of 6 , the value has a $z$ value of

What is the $z$ value such that $50 \%$ of the total area under the standard normal distribution curved lies to the right of it?

In a standard normal distribution, what $z$ value corresponds to $17 \%$ of the data between the mean and the $z$ value?

$\text { Find the } z \text {-scores that bound the middle } 74 \% \text { of the area under the standard normal curve. }$

$\text { Find the probability } P ( 0.16 < z < 1.23 ) \text { using the standard normal distribution. }$

$\text { Find the probability } P ( 0 < z < 1.67 ) \text {, using the standard normal distribution. }$