math quantitative reasoning

Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1/12 of the annual interest rate.You maintain an average balance of \$1020 on your credit​ card, which carries a 15​% annual interest rate.The monthly interest payment is

Find the monthly interest payment in the situation below. Assume that monthly interest rates are 112

of annual interest rates.Veronica owes a clothing store \$1700​, but until she makes a​ payment, she pays 3​% nterest per month.What is​ Veronica’s monthly interest​ payment?

Calculate the amount of money​ you’ll have at the end of the indicated time period.

You invest \$3000 in an account that pays simple interest of 2​% for 20 years.

The amount of money​ you’ll have at the end of 20 years is

Calculate the amount of money​ you’ll have at the end of the indicated time period.

You invest \$4000 in an account that pays simple interest of 7​% for 10 years.

The amount of money​ you’ll have at the end of 10 years is

Calculate the amount of money​ you’ll have at the end of the indicated time​ period, assuming that you earn simple interest. You deposit \$3200

in an account with an annual interest of 3.5​%

for 20 years.The amount of money​ you’ll have at the end of

20 years is

Calculate the amount of money​ you’ll have at the end of the indicated time​ period, assuming that you earn simple interest.You deposit \$3100 in an account with an annual interest of 4.5​% for 20 years.The amount of money​ you’ll have at the end of 20 years is \$

Use the compound interest formula to compute the balance in the following account after the stated period of​ time, assuming interest is compounded annually.\$6000 invested at an APR of 0.5​% or 24 years.The balance in theaccount after 24 years is

Use the compound interest formula to compute the balance in the following account after the stated period of​ time, assuming interest is compounded nnually. \$5000 invested at an APR of 2.3​% for 19 years.The balance in the account after 19 years is

Use the compound interest formula to compute the balance in the following account after the stated period of​ time, assuming interest is compounded annually.\$37,000 invested at an APR of 4.6​% for 33 years.

The balance in the account after 33 years is \$

Find the savings plan balance after 18 months with an APR of 4​% and monthly payments of \$150. The balance is \$

Find the savings plan balance after 4 years with an APR of

3​% and monthly payments of \$150.The balance is

At age 18​, someone sets up an IRA​ (individual retirement​ account) with an APR of 5​%. At the end of each month he deposits \$50

in the account. How much will the IRA contain when he retires at age​ 65? Compare that amount to the total deposits made over the time period.

After retirement the IRA will contain \$nothing.

​(Do not round until the final answer. Then round to the nearest cent as​ needed.)

The total deposits made over the time period is

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the​ mean, median, and mode of the listed numbers.

31 70 34  48  76  57  37  66

78  47

What is the​ mean? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.

The mean is nothing.

​(Round to one decimal place as​ needed.

B.

There is no mean.

What is the​ median? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.

The median is

nothing.

​ (Round to one decimal place as​ needed.)

B.

There is no median.

What​ is(are) the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

Body temperature​ (in degrees​ Fahrenheit) of randomly selected normal and healthy adults are shown below. Compute the​ mean, median, and mode of the data set. 98.4  99.0 98.0 98.8 98.198.1 98.9 98.5 98.1 98.3

The mean is

nothing°F.

​(Round to the nearest hundredth as​ needed.)

The median is

nothing°F.

​(Round to the nearest hundredth as​ needed.)

What​ is/are the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A. The​ mode(s) is/are

nothing°F.

​(Use a comma to separate answers as​ needed.)

B. There is no mode.

Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find the​ mean, median, and mode of the listed numbers. 0.27 0.17 0.17 0.16 0.13 0.24 0.29 0.24 0.14  0.16 0.10 0.16

The mean is

nothing.

​(Round to the nearest thousandth as​ needed.)

The median is

nothing.

​(Round to the nearest thousandth as​ needed.)

What​ is(are) the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The​ mode(s) is(are)

nothing

sec. ​(Use a comma to separate answers as​ needed.)

B.There is no mode.

Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find the​ mean, median, and mode of the listed numbers. 0.27 0.17 0.17 0.16 0.13 0.24 0.29 0.24 0.14

0.16 0.10 0.16

The mean is

nothing.

​(Round to the nearest thousandth as​ needed.)

The median is

nothing.

​(Round to the nearest thousandth as​ needed.)

What​ is(are) the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The​ mode(s) is(are)

nothing

sec. ​(Use a comma to separate answers as​ needed.)

B.There is no mode

Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find the​ mean, median, and mode of the listed numbers.

0.27 0.17 0.17 0.16 0.13 0.24

0.29 0.24 0.14 0.16 0.10  0.16

The mean is

nothing.

​(Round to the nearest thousandth as​ needed.)

The median is

nothing.

​(Round to the nearest thousandth as​ needed.)

What​ is(are) the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The​ mode(s) is(are)

nothing

sec. ​(Use a comma to separate answers as​ needed.)

B.There is no mode

Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are shown below. Find the​ mean, median, and mode of the listed numbers.

0.27 0.17 0.17 0.16 0.13 0.24

0.29 0.24 0.14 0.16 0.10 0.16

The mean is

nothing.

​(Round to the nearest thousandth as​ needed.)

The median is

nothing.

​(Round to the nearest thousandth as​ needed.)

What​ is(are) the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A. The​ mode(s) is(are)

nothing

sec. ​(Use a comma to separate answers as​ needed.)

B.There is no mode.

Actual times​ (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when one minute​ (60 seconds) had passed are shown below. Find the​ mean, median, and mode of the listed numbers.

53

51

74

63

68

58

48

48

The mean is

nothing

sec. ​(Round to the nearest tenth as​ needed.)

The median is

nothing

sec. ​(Round to the nearest tenth as​ needed.)

What​ is(are) the​ mode(s)? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The​ mode(s) is(are)

nothing

sec. ​(Use a comma to separate answers as​ needed.)

B.There is no mode.

The table below shows the fraction of games won​ (to the nearest​ thousandth) by six professional teams in the east coast and west coast leagues for the 2016 season. The lists include the teams with the best and worst​ win-loss records in both leagues. Complete parts​ (a) through​ (e) below.

East coast teams

0.417

0.466

0.484

0.521

0.577

0.625

West coast teams

0.365

0.428

0.500

0.579

0.589

0.588

a. Find the​ mean, median, and range for each of the two data sets.

The mean for the east coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

The median for the east coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

The range for the east coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

The mean for the west coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

The median for the west coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

The range for the west coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

b. Give the​ five-number summary and draw a boxplot for each of the data sets.

Complete the​ five-number summary for the east coast teams.

Lowest Value

Lower Quartile

Median

Upper Quartile

Highest Value

nothing

nothing

nothing

nothing

nothing

​(Type integers or decimals rounded to three decimal places as​ needed.)

Choose the correct boxplot for the east coast teams below.

A.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.33, 0.37, 0.40, 0.52, 0.63. A box encloses the vertical line segments at 0.37, 0.40, and 0.52, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.33 and 0.63. All values are approximate.

B.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.38, 0.42, 0.50, 0.53, 0.58. A box encloses the vertical line segments at 0.42, 0.50, and 0.53, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.38 and 0.58. All values are approximate.

C.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.00, 0.11, 0.22, 0.25, 0.29. A box encloses the vertical line segments at 0.11, 0.22, and 0.25, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.00 and 0.29. All values are approximate.

D.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.42, 0.47, 0.50, 0.58, 0.63. A box encloses the vertical line segments at 0.47, 0.50, and 0.58, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.42 and 0.63. All values are approximate.

Complete the​ five-number summary for the west coast teams.

Lowest Value

Lower Quartile

Median

Upper Quartile

Highest Value

nothing

nothing

nothing

nothing

nothing

​(Type integers or decimals rounded to three decimal places as​ needed.)

Choose the correct boxplot for the west coast teams below.

A.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.22, 0.26, 0.32, 0.53, 0.65. A box encloses the vertical line segments at 0.26, 0.32, and 0.53, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.22 and 0.65. All values are approximate.

B.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.41, 0.41, 0.46, 0.57, 0.64. A box encloses the vertical line segments at 0.41, 0.46, and 0.57, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.41 and 0.64. All values are approximate.

C.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: 0.37, 0.43, 0.54, 0.59, 0.59. A box encloses the vertical line segments at 0.43, 0.54, and 0.59, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 0.37 and 0.59. All values are approximate.

D.

00.20.40.60.81

·

·

·

A boxplot has a horizontal axis labeled from 0 to 2 in increments of 1. Vertical line segments are drawn at the following values: negative 0.06, 0.06, 0.27, 0.33, 0.37. A box encloses the vertical line segments at 0.06, 0.27, and 0.33, and horizontal line segments extend outward from both sides of the box to the vertical line segments at negative 0.06 and 0.37. All values are approximate.

c. Find the standard deviation for each of the data sets.

The standard deviation for the east coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

The standard deviation for the west coast teams is

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

d. Apply the range rule of thumb to estimate the standard deviation of each of the data sets. How well does the rule work in each​ case? Briefly discuss why it does or does not work well.

Using the range rule of thumb the standard deviation for the east coast teams is approximately

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

Using the range rule of thumb the standard deviation for the west coast teams is approximately

nothing.

​(Type an integer or decimal rounded to three decimal places as​ needed.)

How well does the rule work in each​ case?

A.

The rule works well in the east coast data set because the data is distributed evenly.

B.

The rule works well in both of the data sets because the data is distributed evenly.

C.

The rule does not work well in both of the data sets because the data is not distributed evenly.

D.

The rule does not work well in the east coast data set because the data is not distributed evenly.

e. Based on all your​ results, compare and discuss the two data sets in terms of their center and variation.

The mean is higher for the

west

east

coast​ teams, therefore the center of the data is larger for

west

east

coast teams.

The standard deviation is higher for the

west

east

coast​ teams, therefore the variation is larger for

west

east

coast teams.

decreases.

increases.

does not change.

The accompanying data set gives the number of exercise hours per week and the number of TV hours per week of

50

college students. Use StatCrunch to complete parts​ (a) through​ (d) below.

Click the icon to view the college student data.

a. Find the range and standard deviation of the hours spent exercising per week.

The range of hours spent exercising per week is

nothing

hours.

​(Round to two decimal places as​ needed.)

The standard deviation spent exercising per week is

nothing

hours.

​(Round to two decimal places as​ needed.)

b. Find the range and standard deviation of the hours spent watching TV per week.

The range of hours spent watching TV per week is

nothing

hours.

​(Round to two decimal places as​ needed.)

The standard deviation of hours spent watching TV per week is

nothing

hours.

​(Round to two decimal places as​ needed.)

c. Make a boxplot of the exercise data set grouped by year. The result will be separate boxplots for​ first-year students,​ sophomores, juniors, and seniors. Choose the correct boxplots below.

Comment on the results.

A.

From these​ boxplots, it seems like the variation in exercise amount increases as students progress through college.​ However, this variation could very well be explained by having fewer data points in the later years.

B.

From these​ boxplots, it seems like the variation in exercise amount decreases as students progress through college. This variation is independent of the number of students sampled from each year.

C.

From these​ boxplots, it seems like the variation in exercise amount decreases as students progress through college.​ However, this variation could very well be explained by having fewer data points in the later years.

D.

From these​ boxplots, it seems like the variation in exercise amount increases as students progress through college. This variation is independent of the number of students sampled from each year.

d. Make a boxplot of the data for TV hours per week grouped by handedness. The result will be separate boxplots for​ right- and​ left-handed students. Choose the correct boxplots below.

Comment on the results.

A.

The boxplots have much different ranges and interquartile ranges.​ Thus, it seems like​ left-handed people vary more in how much they watch TV.

B.

The boxplots have much different ranges and interquartile ranges.​ Thus, it seems like​ right-handed people vary more in how much they watch TV.

C.

While the boxplots​ aren’t perfectly​ identical, they have similar ranges and interquartile ranges.​ Thus, it seems like the amount of time spent watching TV does not vary much regardless of handedness.

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