Answers AA - F26 Advanced AlgebraApplications with Standard Normal Distribution

Applications with Standard Normal Distribution — Cumulative exam Answers

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Many delivery trucks feature a "How Am I Driving?” sticker on the rear bumper, along with a phone number. This sticker allows drivers to report erratic driving by the truck driver or offer a compliment if they like. A dispatcher at the trucking station accepts calls and records information from those who call the phone number. The dispatcher reports that in the past month, 218 calls were received. Of those calls, 178 reported negative driving behaviors by the truck drivers. How might this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers?

This sample may lead to nonresponse bias because many drivers may not call the phone number.

This sample may lead to undercoverage bias because some drivers will be more likely to be included in the sample.

The sample may lead to response bias because some who call the phone number may not provide a truthful opinion.

This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

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What are the domain and range of f(x) = 2(3x)?

domain: ; range:

domain: ; range:

domain: ; range:

domain: ; range:

Which step is included in the graph of the function ?

mc019-2.jpg

mc019-3.jpg

mc019-4.jpg

mc019-5.jpg

What is the solution of ?

x = –2500

x = –50

x = –2.5

no solution

What is the solution of ?

x = 5

x = 13

x = 20

x = 328

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

z = StartFraction 92 minus 83 Over 83 EndFraction

z = StartFraction 83 minus 92 Over 5 EndFraction

z = StartFraction 92 minus 83 Over 5 EndFraction

z = StartFraction 5 minus 83 Over 92 EndFraction

Which graph represents ?

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.

What is the product? Assume

3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot

3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot

StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

Which survey is most likely affected by bias?

a survey of teenagers about their favorite colors

a survey of students about vacation policies in a school district

a survey of supermarket shoppers about products they would like to see added

a survey of bike riders on whether they wear helmets

The side-by-side dotplot below displays the arm spans, in centimeters, for two classes.

The mean arm span appears to be similar for the two classes.

The arm spans for Class A have less variability than the arm spans for Class B.

The arm spans for Class B have more variability than the arm spans for Class A.

The arm spans for Class A are roughly symmetric, while those for Class B are skewed left.

What are the domain and range of f(x) = |x + 6|?

domain: ; range: f(x) 0

domain: x ; range:

domain: ; range: f(x) 0

Which expression is equivalent to ?

x Superscript one-half Baseline y Superscript 4

x Superscript one-eighth Baseline y Superscript 8

x Superscript one-fourth Baseline y Superscript 8

x Superscript one-fourth Baseline y Superscript 4

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

g = 18 – 2h; 18 gallons

g = 18 – 2h; 16 gallons

g = 3h + 3; 30 gallons

g = 3h + 3; 12 gallons

Which of the following is a valid probability distribution?

A 2-column table labeled Probability Distribution A has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.42, 0.38, 0.13, 0.07.

A 2-column table labeled Probability Distribution B has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.27, 0.28, 0.26, 0.27.

A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17.

A 2-column table labeled Probability Distribution D has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.63, 0.12, 0.14, 0.13.

What is the following product?

–2

22 –

98 –

A township supervisor hopes to improve the current recycling program by having residents separate their recycled materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To measure community support for a change to the recycling program, the supervisor visits a busy shopping area and asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens would separate their recycled items by type of material?” What type of bias could be present in the survey results and what is a likely direction of the bias in estimating community support for the change to the recycling program?

This is question wording bias. The survey overestimates community support for change to the recycling program.

This is question wording bias. The survey underestimates community support for change to the recycling program.

This is voluntary response bias. The survey overestimates community support for change to the recycling program.

This is voluntary response bias. The survey underestimates community support for change to the recycling program.

Which of the following is the inverse of ?

y = log Subscript one-twelfth Baseline x

y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction

y = log Subscript x Baseline 12

y = log Subscript 12 Baseline x

According to a recent survey of adults, approximately 62% carry cash on a regular basis. The adults were also asked if they have children. Of the 46% who have children, 85% carry cash on a regular basis. Is carrying cash independent from having children in this sample?

No, P(carry cash) = P(carry cash|have children).

No, P(carry cash) ≠ P(carry cash|have children).

Yes, P(carry cash) = P(carry cash|have children).

Yes, P(carry cash) ≠ P(carry cash|have children).

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.zProbability0.000.50000.500.69151.000.84132.000.97723.000.9987

0.13%

0.26%

2.3%

4.6%

Which of the following probabilities is the greatest for a standard normal distribution?

P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5)

P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5)

P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5)

P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)

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Applications with Standard Normal Distribution — Cumulative exam Answers

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