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.
Enter your answer in each of the answer boxes.
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.
LOADING…
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.
Click here to view boxplot set a.
LOADING…
Click here to view boxplot set c.
LOADING…
Click here to view boxplot set b.
LOADING…
Click here to view boxplot set d.
LOADING…
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.
Click here to view the boxplots for choice c.
LOADING…
Click here to view the boxplots for choice b.
LOADING…
Click here to view the boxplots for choice a.
LOADING…
Click here to view the boxplots for choice d.
LOADING…
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.
