MATH 1342 McLennan CC Week 6 Mean and Standard Deviation Exam Practice
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What’s wrong with the following statement?
“Because the digits 0, 1, 2, . . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution.”
Choose the correct answer below.
The lottery digits have a normal distribution only if the digits are drawn with replacement, which is not specified.
It is not the randomly selected digits that have a normal distribution but rather the chances of winning the lottery.
The lottery digits have a normal distribution only if the digits are drawn without replacement, which is not specified.
Since the probability of each digit being selected is equal, lottery digits have a uniform distribution, not a normal distribution.
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Choose the correct answer below.
The mean and standard deviation have the values of mu equals 1?=1
and sigma equals 0.?=0.
The mean and standard deviation have the values of mu equals 1?=1
and sigma equals 1.?=1.
The mean and standard deviation have the values of mu equals 0?=0
and sigma equals 0.?=0.
The mean and standard deviation have the values of mu equals 0?=0
and sigma equals 1.?=1.
The expression
z Subscript alphaz?
denotes the z score with an area of
alpha?
?
between minus z Subscript alpha Baseline and z Subscript alpha Baseline .between ?z? and z?.
to its right.to its right.
to its left.
| Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
Click to view page 1 of the table.LOADING… Click to view page 2 of the table. LOADING… |
z equals 0.83z=0.83 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded. The z-axis below the line is labeled “z=0.83”. |
The area of the shaded region is nothing.
(Round to four decimal places as needed.)
| Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. |
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate z equals negative 0.99, which is to the left of the curves center and peak. The area under the curve to the right of the vertical line is shaded. |
The area of the shaded region is nothing.
(Round to four decimal places as needed.)
| Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. |
font size decreased by 2 z equals negative 0.96z=?0.96 font size decreased by 2 z equals 1.23z=1.23 A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates z equals negative 0.96, which is to the left of the curves center and peak, and z equals 1.23, which is to the right of the curves center and peak. The area under the curve between the vertical lines is shaded. |
The area of the shaded region is nothing.
(Round to four decimal places as needed.)
| Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
Click to view page 1 of the table.LOADING… Click to view page 2 of the table. LOADING… |
zz 0.95250.9525 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded and is labeled 0.9525. |
The indicated z score is nothing.
(Round to two decimal places as needed.)
| Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. |
zz 0.26110.2611 A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled “0” and is located at the center and peak of the curve. The other coordinate is labeled “z,” and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the left of z is shaded and labeled 0.2611. |
The indicated z score is nothing.
(Round to two decimal places as needed.)
| Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. |
zz 0.87490.8749 A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled “0” and is located at the center and peak of the curve. The other coordinate is labeled “z,” and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the right of z is shaded and labeled 0.8749. |
The indicated z score is nothing.
(Round to two decimal places as needed.)
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than negative 0.51?0.51
and draw a sketch of the region.
Sketch the region. Choose the correct graph below.
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate negative 0.51, which is to the left of the curves center and peak. The area under the curve to the right of the vertical line is shaded.
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate negative 0.51, which is to the left of the curves center and peak. The area under the curve to the left of the vertical line is shaded.
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate 0.51, which is to the right of the curves center and peak. The area under the curve to the left of the vertical line is shaded.
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than 0.820.82.
Sketch the region. Choose the correct graph below.
A symmetric bell-shaped curve is plotted over a horizontal axis. A vertical line segment runs from the horizontal axis to the curve at labeled coordinate 0.82, which is to the right of the curves center and peak. The area under the curve to the right of 0.82 is shaded.
A symmetric bell-shaped curve is plotted over a horizontal axis. A vertical line segment runs from the horizontal axis to the curve at labeled coordinate negative 0.82, which is to the left of the curves center and peak. The area under the curve to the left of negative 0.82 is shaded.
Assume that thermometer readings are normally distributed with a mean of 0degrees°C
1.00degrees°C.
Between 0.750.75
Click to view page 1 of the table.LOADING…
LOADING…
Draw a sketch. Choose the correct graph below.
A symmetric bell-shaped curve is plotted over a horizontal axis. Two vertical line segments run from the horizontal axis to the curve and are equidistant from the center and peak of the curve. One vertical line is at the labeled coordinate negative 0.82, which is to the left of the curve’s center and peak. The other vertical line is at the labeled coordinate 0.82, which is to the right of the curve’s center and peak. The area under the curve between negative 0.82 and 0.82 is shaded.
and a standard deviation of A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.)and 2.252.25 Click to view page 2 of the table.
A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. Moving from left to right, the region right of the second line is shaded. The z-axis below this line is labeled “z=2.25”. The z-axis below the first line is labeled “z=0.75”.
A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. Moving from left to right, the region left of the first line is shaded. The z-axis below this line is labeled “z=0.75”. The z-axis below the second line is labeled “z=2.25”.
