Question 1

A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5 . Find the probability that $\bar { x }$ will be greater than 11 .

Accepted Answer

A)  0.1170 
B)  0.0901 
C)  0.9099 
D)  0.0721

Question 2

The following formula can be used to find the specific value of the variable in a data set t. corresponds to a particular value of the standard normal variable:
$$X = z \cdot \sigma + \mu$$

Accepted Answer

A) True 
 B)False

Question 3

$$\text { Find the area under the standard normal curve that lies between } z = - 1.9 \text { and } z = 2.2 \text {. }$$

Accepted Answer

A)  0.4861 
B)  0.0426 
C)  0.9574 
D)  0.5139

Question 4

A(n) is employed when a continuous distribution
is used to approximate a discrete distribution.

Accepted Answer

The answer of A(n) is employed when a continuous distribution
is...

Question 5

A gardener buys a package of seeds. Seventy-nine percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that 84 or more
Seeds germinate.

Accepted Answer

A)  0.8621 
B)  0.8438 
C)  0.7881 
D)  0.8264

Question 6

$X$ is a normally distributed random variable with a mean of 10 and a standard deviation of $4.0$. Find the value of $X$ for which $70.54 \%$ of the area under the distribution curve lies right of it. (Note: the diagram is not necessarily to scale.)

Accepted Answer

A)  8.92 
B)  7.84 
C)  11.89 
D)  8.56

Question 7

$$\text { Find the area under the standard normal curve to the left of } z = 1.5 \text {. }$$

Accepted Answer

A)  0.4666 
B)  0.0668 
C)  0.4332 
D)  0.9332

Question 8

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.
$$n = 90 , p = 0.6 : P ( X \geq 63 )$$

Accepted Answer

A)  0.0384 
B)  0.0281 
C)  0.0336 
D)  0.9719

Question 9

Identify the type of distribution pattern that occurs when the majority of the data values fall to the left of the mean?

Accepted Answer

A)  symmetrical 
B)  left skewed 
C)  positively skewed 
D)  negatively skewed

Question 10

$$\text { Find the } z \text { value that corresponds to the given area. }$$

Accepted Answer

A)  -0.51 
B)  1.33 
C)  0.41 
D)  -0.22

Question 11

A bottler of drinking water fills plastic bottles with a mean volume of 998 milliliters (mL) and standard deviation 7 mL. The fill volumes are normally distributed. What
Proportion of bottles have volumes greater than 999 mL?

Accepted Answer

A)  0.8051 
B)  1.0000 
C)  0.6293 
D)  0.4443

Question 12

A(n) is a distribution of means obtained from
samples of a specific size taken from a population.

Accepted Answer

The answer of A(n) is a distribution of means obtained...

Question 13

Which of the following characteristics does not apply to a theoretical normal distribution?

Accepted Answer

A)  It is bimodal. 
B)  It is bell-shaped. 
C)  The mean, median, and mode are equal. 
D)  It is never negative.

Question 14

A bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters (mL) and standard deviation 6 mL. The fill volumes are normally distributed. What
Proportion of bottles have volumes less than 1001 mL?

Accepted Answer

A)  0.5000 
B)  0.5438 
C)  1.0000 
D)  0.9772

Question 15

Use the normal approximation to the binomial to find that probability for the specific value of $X$.
$$n = 30 , p = 0.4 , X = 5$$

Accepted Answer

A)  0.07 
B)  0.17 
C)  0.4 
D)  0.20

Question 16

To find the area under the standard normal distribution curve between two $z$ values, one first finds the difference between the two $z$ values, then locates the value corresponding to that difference in the Standard Normal Distribution table.

Accepted Answer

A) True 
 B)False

Question 17

If a baseball player's batting average is 0.340 (i.e., the probability of getting a hit each time at bat is 0.340), find the probability that the player will have a bad season and get at
Most 60 hits in 200 times at bat?

Accepted Answer

A)  38.3% 
B)  36.9% 
C)  13.1% 
D)  11.7%

Question 18

$$\text { Find the } z \text {-score for which the area to the left is } 0.13 \text {. }$$

Accepted Answer

A)  -1.40 
B)  -1.01 
C)  -1.13 
D)  -0.87

Question 19

A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 2010 square feet, find the maximum and minimum
Sizes of the homes the contractor should build. Assume that the standard deviation is 90
Square feet and the variable is normally distributed.

Accepted Answer

A)  1934.4 and 2085.6 
B)  1929 and 2091 
C)  2001 and 2019 
D)  1894.8 and 2125.2

Question 20

The area under a normal distribution curve is always positive even if the $z$ value is negative.

Accepted Answer

A) True 
 B)False

Exam 6: The Normal Distribution

A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5 . Find the probability that $\bar { x }$ will be greater than 11 .

The following formula can be used to find the specific value of the variable in a data set t. corresponds to a particular value of the standard normal variable: $X = z \cdot \sigma + \mu$

$\text { Find the area under the standard normal curve that lies between } z = - 1.9 \text { and } z = 2.2 \text {. }$

A(n) is employed when a continuous distribution is used to approximate a discrete distribution.

A gardener buys a package of seeds. Seventy-nine percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that 84 or more Seeds germinate.

$\text { Find the area under the standard normal curve to the left of } z = 1.5 \text {. }$

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. $n = 90 , p = 0.6 : P ( X \geq 63 )$

Identify the type of distribution pattern that occurs when the majority of the data values fall to the left of the mean?

$\text { Find the } z \text { value that corresponds to the given area. }$ $\text { Find the } z \text { value that corresponds to the given area. } A) -0.51 B) 1.33 C) 0.41 D) -0.22$

A bottler of drinking water fills plastic bottles with a mean volume of 998 milliliters (mL) and standard deviation 7 mL. The fill volumes are normally distributed. What Proportion of bottles have volumes greater than 999 mL?

A(n) is a distribution of means obtained from samples of a specific size taken from a population.

Which of the following characteristics does not apply to a theoretical normal distribution?

A bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters (mL) and standard deviation 6 mL. The fill volumes are normally distributed. What Proportion of bottles have volumes less than 1001 mL?

Use the normal approximation to the binomial to find that probability for the specific value of $X$ . $n = 30 , p = 0.4 , X = 5$

To find the area under the standard normal distribution curve between two $z$ values, one first finds the difference between the two $z$ values, then locates the value corresponding to that difference in the Standard Normal Distribution table.

If a baseball player's batting average is 0.340 (i.e., the probability of getting a hit each time at bat is 0.340) , find the probability that the player will have a bad season and get at Most 60 hits in 200 times at bat?

$\text { Find the } z \text {-score for which the area to the left is } 0.13 \text {. }$

The area under a normal distribution curve is always positive even if the $z$ value is negative.

Exam 6: The Normal Distribution

A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5 . Find the probability that xˉ\bar { x }xˉ will be greater than 11 .

The following formula can be used to find the specific value of the variable in a data set t. corresponds to a particular value of the standard normal variable: X=z⋅σ+μX = z \cdot \sigma + \muX=z⋅σ+μ

Find the area under the standard normal curve that lies between z=−1.9 and z=2.2. \text { Find the area under the standard normal curve that lies between } z = - 1.9 \text { and } z = 2.2 \text {. } Find the area under the standard normal curve that lies between z=−1.9 and z=2.2.

A(n) is employed when a continuous distribution is used to approximate a discrete distribution.

A gardener buys a package of seeds. Seventy-nine percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that 84 or more Seeds germinate.

XXX is a normally distributed random variable with a mean of 10 and a standard deviation of 4.04.04.0 . Find the value of XXX for which 70.54%70.54 \%70.54% of the area under the distribution curve lies right of it. (Note: the diagram is not necessarily to scale.)

Find the area under the standard normal curve to the left of z=1.5. \text { Find the area under the standard normal curve to the left of } z = 1.5 \text {. } Find the area under the standard normal curve to the left of z=1.5.

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=90,p=0.6:P(X≥63) n = 90 , p = 0.6 : P ( X \geq 63 ) n=90,p=0.6:P(X≥63)

Identify the type of distribution pattern that occurs when the majority of the data values fall to the left of the mean?

Find the z value that corresponds to the given area. \text { Find the } z \text { value that corresponds to the given area. } Find the z value that corresponds to the given area.

A bottler of drinking water fills plastic bottles with a mean volume of 998 milliliters (mL) and standard deviation 7 mL. The fill volumes are normally distributed. What Proportion of bottles have volumes greater than 999 mL?

A(n) is a distribution of means obtained from samples of a specific size taken from a population.

Which of the following characteristics does not apply to a theoretical normal distribution?

A bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters (mL) and standard deviation 6 mL. The fill volumes are normally distributed. What Proportion of bottles have volumes less than 1001 mL?

Use the normal approximation to the binomial to find that probability for the specific value of XXX . n=30,p=0.4,X=5n = 30 , p = 0.4 , X = 5n=30,p=0.4,X=5

To find the area under the standard normal distribution curve between two zzz values, one first finds the difference between the two zzz values, then locates the value corresponding to that difference in the Standard Normal Distribution table.

If a baseball player's batting average is 0.340 (i.e., the probability of getting a hit each time at bat is 0.340) , find the probability that the player will have a bad season and get at Most 60 hits in 200 times at bat?

Find the z-score for which the area to the left is 0.13. \text { Find the } z \text {-score for which the area to the left is } 0.13 \text {. } Find the z-score for which the area to the left is 0.13.

The area under a normal distribution curve is always positive even if the zzz value is negative.

A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5 . Find the probability that $\bar { x }$ will be greater than 11 .

The following formula can be used to find the specific value of the variable in a data set t. corresponds to a particular value of the standard normal variable: $X = z \cdot \sigma + \mu$

$\text { Find the area under the standard normal curve that lies between } z = - 1.9 \text { and } z = 2.2 \text {. }$

$\text { Find the area under the standard normal curve to the left of } z = 1.5 \text {. }$

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. $n = 90 , p = 0.6 : P ( X \geq 63 )$

$\text { Find the } z \text { value that corresponds to the given area. }$ $\text { Find the } z \text { value that corresponds to the given area. } A) -0.51 B) 1.33 C) 0.41 D) -0.22$

Use the normal approximation to the binomial to find that probability for the specific value of $X$ . $n = 30 , p = 0.4 , X = 5$

To find the area under the standard normal distribution curve between two $z$ values, one first finds the difference between the two $z$ values, then locates the value corresponding to that difference in the Standard Normal Distribution table.

$\text { Find the } z \text {-score for which the area to the left is } 0.13 \text {. }$

The area under a normal distribution curve is always positive even if the $z$ value is negative.