MTH 233 Week 2 MyStatLab® Pre-Test

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MTH 233 Week 2 MyStatLab® Pre-Test
MTH 233 Week 2 MyStatLab® Pre-Test
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MTH 233

The Latest Version A+ Study Guide 

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1

Listed below are the durations (in hours) of a simple random sample of all flights of a space shuttle program. Find the range, variance, and standard deviation for the sample data. Is the lowest duration time unusual? Why or why not?

7878

9292

240240

192192

165165

269269

195195

371371

250250

236236

387387

334334

225225

243243

00

 

The range of the sample data is

hours. (Type an integer or a decimal.)

The variance of the sample data is

(Round to one decimal place as needed.)

The standard deviation of the sample data is

hours.

(Round to one decimal place as needed.)

Is the lowest duration time

unusual?

Why or why not?

A.

No, because the sample is random.

B.

Yes, because the lowest value in a data set is usually an outlier.

C.

No, because it is within two standard deviations of the mean.

D.

Yes, because it is more than two standard deviations below the mean.

 

 

2

A certain group of test subjects had pulse rates with a mean of

81.881.8

beats per minute and a standard deviation of

10.310.3

beats per minute. Would it be unusual for one of the test subjects to have a pulse rate of

122.4122.4

beats per minute?

Minimum “usual”

valueequals=

beats per minute

(Type an integer or a decimal.)

Maximum “usual”

valueequals=

beats per minute

(Type an integer or a decimal.)

Is

122.4122.4

beats per minute an unusual pulse rate?

A.

Yes comma because it is smaller than the minimum “usual” value.Yes, because it is smaller than the minimum “usual” value.

B.

Yes comma because it is larger than the maximum “usual” value.Yes, because it is larger than the maximum “usual” value.

C.

Yes, because it is between the minimum and maximum “usual” values.

D.

No, because it is smaller than the minimum “usual” value.

E.

No comma because it is between the minimum and maximum “usual” values.No, because it is between the minimum and maximum “usual” values.

F.

No, because it is larger than the maximum “usual” value.

 

 

 

3

Heights of men on a baseball team have a bell-shaped distribution with a mean of

177 cm177 cm

and a standard deviation of

6 cm6 cm.

Using the empirical rule, what is the approximate percentage of the men between the following values?

159159

cm and

195195

cm

165165

cm and

189189

cm

a.

of the men are between

159159

cm and

195195

cm.

(Round to one decimal place as needed.)

b.

of the men are between

165165

cm and

189189

cm.

(Round to one decimal place as needed.)

 

 

 

4

 

of the

100100

digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?

The probability is

(Simplify your answer.)

 

 

 

5

Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why?

Pre-Employment Drug Screening Results
Positive test resultNegative test result
Drug Use Is IndicatedDrug Use Is Not Indicated
Subject Uses Drugs3812
Subject Is Not a Drug User1929

The probability of a false positive test result is

(Round to three decimal places as needed.)

Who would suffer from a false positive result? Why?

A.

The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs.

B.

The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs.

C.

The employer would suffer because the person tested would be suspected of using drugs when in reality he or she does not use drugs.

D.

The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs.

 

 

 

6

Determine whether the two events are disjoint for a single trial. (Hint: Consider “disjoint” to be equivalent to “separate” or “not overlapping.”)

Randomly selecting a statistics student and getting someone who brings a

notebooknotebook

to class.

Randomly selecting a statistics student and getting someone who brings a

pencilpencil

to class.

Choose the correct answer below.

A.

The events are disjoint. They cannot occur at the same time.

B.

The events are not disjoint. They can occur at the same time.

 

C.

The events are not disjoint. The first event is not the complement of the second.

D.

The events are disjoint. The first event is the complement of the second.

 

 

 

7

In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that

P(D)equals=0.6400.640,

where D is directly in person. If someone is randomly selected, what does

Upper P left parenthesis Upper D overbar right parenthesisPD

represent, and what is its value?

What does

Upper P left parenthesis Upper D overbar right parenthesisPD

represent?

A.

Upper P left parenthesis Upper D overbar right parenthesisPD

is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.

B.

Upper P left parenthesis Upper D overbar right parenthesisPD

is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt.

C.

Upper P left parenthesis Upper D overbar right parenthesisPD

is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt.

D.

Upper P left parenthesis Upper D overbar right parenthesisPD

is the probability of randomly selecting someone who did not participate in the survey.

Upper P left parenthesis Upper D overbar right parenthesisPDequals=

(Simplify your answer.)

 

 

 

8

The table below summarizes results from a study of people who refused to answer survey questions. A market researcher is interested in responses, especially from those between the ages of 22 and 39. Find the probability that a selected subject responds or is between the ages of 22 and 39.

Age
18-2122-2930-3940-4950-5960 and over
Responded7777259259249249140140142142206206
Refused151524243737303039396161

The probability that the subject responded or is between the ages of 22 and 39 is

(Round to three decimal places as needed.)

 

 

 

9

For the given pair of events A and B, complete parts (a) and (b) below.

A: When a baby is born, it is a

boyboy.

B: When a

77-sided

die is rolled, the outcome is

44.

  1. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)
  2. Find P(A and B), the probability that events A and B both occur.
  3. Choose the correct answer below.

A.

The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other.

B.

The two events are independent because the 5% guideline indicates that they may be treated as independent.

C.

The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.

D.

The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.

The

probability that events A and B both occur is

(Round to four decimal places as needed.)

 

 

 

10

Refer to the table below. Given that 2 of the

233233

subjects are randomly selected, complete parts (a) and (b).

Group
OABAB
TypeRh Superscript plusRh+8585737334341616
Rh Superscript minusRh−99884444

  1. Assume that the selections are made with replacement. What is the probability that the 2 selected subjects are both group

Upper BB

and type

Rh Superscript plusRh+?

(Round to four decimal places as needed.)

  1. Assume the selections are made without replacement. What is the probability that the 2 selected subjects are both group

Upper BB

and type

Rh Superscript plusRh+?

(Round to four decimal places as needed.)

 

 

 

11

Let event

Aequals=subject

is telling the truth and event

Bequals=polygraph

test indicates that the subject is lying. Use your own words to translate the notation

Upper P left parenthesis B|A right parenthesisP(B|A)

into a verbal statement.

Choose the correct option below.

A.

The probability that the polygraph indicates lying given that the subject is actually telling the truth.

B.

The probability that the polygraph indicates truthfulness given that the subject is actually lying.

C.

The probability that the polygraph indicates lying given that the subject is actually lying.

D.

The probability that the polygraph indicates truthfulness given that the subject is actually telling the truth.

 

 

 

12

In a certain country, the true probability of a baby being a

boyboy

is

0.5210.521.

Among the next

fourfour

randomly selected births in the country, what is the probability that at least one of them is a

girlgirl?

The probability is

(Round to three decimal places as needed.)

 

 

 

13

The accompanying table displays results from experiments with polygraph instruments.

  1. Find

Upper P left parenthesis subject told the truth | negative test result right parenthesis .P(subject told the truth | negative test result).

  1. Find

Upper P left parenthesis negative test result | subject told the truth right parenthesisP(negative test result | subject told the truth).

  1. Compare the results from parts a. and b. Are they equal?

LOADING…

 

Click the icon to view the data table.

Upper P left parenthesis subject told the truth | negative test result right parenthesis equalsP(subject told the truth | negative test result)=

(Round to three decimal places as needed.)

  1. Find the probability of selecting a subject with a negative test result, given that the subject told the truth.

Upper P left parenthesis negative test result | subject told the truth right parenthesisP(negative test result | subject told the truth)equals=

(Round to three decimal places as needed.)

  1. Compare the two values. Are they equal?

No

Yes

 

 

 

14

Assume that there is a

44%

rate of disk drive failure in a year.

  1. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
  2. If copies of all your computer data are stored on

threethree

independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?

  1. With two hard disk drives, the probability that catastrophe can be avoided is

(Round to four decimal places as needed.)

  1. With

threethree

hard disk drives, the probability that catastrophe can be avoided is

(Round to six decimal places as needed.)

 

 

 

 

15

A fan of country music plans to make a custom CD with

1111

of her

2828

favorite songs. How many different combinations of

1111

songs are possible? Is it practical to make a different CD for each possible combination?

How many different combinations of

1111

songs are possible?

Is it practical to make a different CD for each possible combination?

A.

Yes, it is practical to make a different CD for each possible combination because the number of possible combinations is very small.

B.

No, it is not practical to make a different CD for each possible combination because the number of possible combinations is very small.

C.

No, it is not practical to make a different CD for each possible combination because the number of possible combinations is very large.

D.

Yes, it is practical to make a different CD for each possible combination because the number of possible combinations is very large.

 

 

 

16

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 0.86z=0.86

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=0.86”.

The area of the shaded region is

(Round to four decimal places as needed.)

 

 

 

17

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.z=-0.85z=1.22

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 0.85,” which is to the left of the curve’s center and peak, and “z equals 1.22,” which is to the right of the curve’s center and peak. The area under the curve between the vertical lines is shaded.

The area of the shaded region is

(Round to four decimal places as needed.)

 

 

 

18

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 

zz

0.27090.2709

0

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 “0.2709.”

The indicated z score is

(Round to two decimal places as needed.)

 

 

 

19

Assume the readings on thermometers are normally distributed with a mean of

0degrees°C

and a standard deviation of

1.00degrees°C.

Find the probability that a randomly selected thermometer reads between

negative 2.29−2.29

and

negative 1.79−1.79

and draw a sketch of the region.

Click to view page 1 of the table.

LOADING…

 

Click to view page 2 of the table.

LOADING…

Sketch the region. Choose the correct graph below.

A.

-1.79-2.29

A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. Moving from left to right, the region left of the first line is shaded. The z-axis below this line is labeled negative 2.29. The z-axis below the second line is labeled negative 1.79.

B.

-1.79-2.29

A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. Moving from left to right, the regions left of the second line are shaded. The z-axis below this line is labeled negative 1.79. The z-axis below the first line is labeled negative 2.29.

C.

-1.79-2.29

A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. The region between the 2 lines is shaded. Moving from left to right, the z-axis below the first line is labeled negative 2.29. The z-axis below the second line is labeled negative 1.79.

The probability is

(Round to four decimal places as needed.)

 

 

 

20

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Click to view page 1 of the table.

LOADING…

 

Click to view page 2 of the table.

LOADING…

xx

0.750.75

A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom, on the left side. The region right of the line is shaded and labeled 0.75. The x-axis below the line is labeled “x”.

The indicated IQ score, x, is

(Round to one decimal place as needed.)