Deck 1: Discretionary Expenses

Question 1

Which column in a frequency distribution table is an indicator of which percentile each of the possible values falls in?

A) Frequency
B) Relative cumulative frequency
C) Cumulative frequency
D) Relative frequency

Answer 1

Relative cumulative frequency

Question 2

The results of a recent survey showed that the average cost to rent a car for a week is $276.If the standard deviation is $60,find the z-score for a weekly rental of $423.00?

A) 7.05
B) 2.45
C) 4.6
D) -1.88

Answer 2

2.45

Question 3

Marsha was shopping for a new dishwasher and researched the different models she could afford.Using Marsha's frequency distribution table,determine the median price for dishwashers. ​

A) $317.50
B) $325.00
C) $312.50
D) $308.33

Answer 3

$312.50

Question 4

Maxine works at an amusement park.She recorded the number of ice cream cones sold each day,along with the high temperature in Fahrenheit degrees.Using her data,she wrote a linear regression equation of y = 9x - 487.If the temperature,or x,is 85°F,how many ice cream cones could Maxine expect to sell?

A) 245
B) 278
C) 753
D) 765

Question 5

McKenzie found the correlation coefficient on a set of data to be -0.20.Which term best describes the correlation?

A) Strong positive
B) Strong negative
C) Weak positive
D) Weak negative

Question 6

Rebecca will be entering college next fall and is trying to decide how much to spend on a laptop.After researching models online,she has found several that would meet her needs.Their costs are: $979;$1,349;$1,279;$1,349;$1,899;$2,049;$875;and $1,099.She determined the median to be $1,359.

Question 7

A discretionary expense is one that can't be eliminated from your day-to-day life.

Question 8

When considering measures of central tendency,the presence of outliers would indicate that the mean may not be a good representation.

Question 9

If a collection of data does not have any values that occur more than once,it is considered bimodal.

Question 10

What is the standard deviation for the following frequency distribution? ​ ​

A) $24.17
B) $25.72
C) $19.67
D) $661.67

Question 11

The equation of the linear regression line of the scatterplot defined by these points: (1,45), (2,35), (3,20), (4,5)is y = -13.5x + 60.

Question 12

Examine the frequency table below for prices to replace a dishwasher.What is the percentile rank of dishwashers that cost $325? ​

A) 83%
B) 23%
C) 60%
D) 17%

Question 13

In the ordered pairs,the first coordinate is the price,p,and the second is the quantity,q: (250,5,000), (100,8,500), (450,2,000), (300,5,000), (200,4,750).When the points are plotted in a scatterplot,what is the correlation coefficient?

A) -0.93
B) -0.87
C) -0.83
D) -0.73

Question 14

Your income before all taxes are deducted is your disposable income.

Question 15

A frequency distribution is a table that displays each possible value and the number of times that value occurs.

Question 16

Sigma notation for determining median of 15 values is .

Question 17

A scatterplot is graphed with the time it takes a child to get dressed in the morning on the horizontal axis,and the child's age in years on the vertical axis.The graph shows a negative correlation because the time decreases as the age of the child increases.

Question 18

Which is the regression equation for a scatterplot with these points rounded to the nearest tenth: (4,35), (6.5,92), (2,10), (5,50), (6,85), (10,110)?

A) y = -11.1x + 9,376.90
B) y = -13.4x + 8,432.27
C) y = 11.1x - 13.4
D) y = 13.4x - 11.1

Question 19

When a correlation coefficient is near 1,there is little or no correlation between corresponding variables.

Question 20

What is the most commonly used measure of dispersion?

A) Range
B) Mean deviation
C) Standard deviation
D) Variance

Question 21

Calvin is graduating and wants to get a job in a government agency.He has done some research and will interview with two different agencies.The first agency offers starting salaries with a mean of $47,000 and a standard deviation of $1,500.The second agency's average starting salary is also $47,000,with a standard deviation of $4,000.With which agency is Calvin more likely to start with an offer of $1,000 per week or more?

Question 22

The Learners just got a notification about their past 4 months of gas and electric bills stating that the average for the winter months was $393.46.Mr.Learner remembered that it was cold in January,but was unable to find his bill for that month.Using what you know about measures of central tendency,help Mr.Learner calculate what his January gas and electric bill must have been.

Question 23

Pamela called nine repair shops for quotes for auto repairs and pick the quote closest to the mean.The prices are $139,$150,$345,$99,$169,$155,$140,$200,and $160.She heard that data collections that are normally distributed will have 95% of its values within 2 standard deviations of the mean and wants to remove any quotes outside of that mark before determining a revised average that will help her make a decision.What is the mean price quote for 95% of the auto repairs that are within 2 standard deviations of the mean?

Question 24

Stephen is starting a wine cellar but only wants to stock bottles in the top 10% of Wine magazine's ratings of 500 wines.The average rating given by the magazine was 72 with a standard deviation of 7.1.Use the standard distribution table to help Stephen discover what wine rating is necessary for a wine to be in the top 10%.

Question 25

The American Medical Association took the resting pulse rate of all the doctors at a local hospital and published this frequency distribution.What percentile is a resting pulse of 79 beats per minute?
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Question 26

Robert heard that there 78 different apartments in the part of New York City he is considering moving to.The mean rental price is $1,800 with a standard deviation of $200.He is assuming his data is normally distributed and wants to know how many apartments he will have to look at if his goal rental price is $1,500.Use the standard distribution table to help Robert narrow down his search to apartments priced under $1,500.

Question 27

Nancy works at a health club.She notices that the clients who run on the track for a longer period of time go a longer distance.If this is a causal relationship,explain the explanatory and response variables.

Question 28

The mean for Mr.Foster's Financial Algebra test was 70,and the standard deviation was 4.2.Ms.Helmer's mean for her test was 35,and the standard deviation was 5.7.Two friends were arguing about which did better on the test.Becky got a 78 on Mr.Foster's test,whereas Erin got a 45 on Ms.Helmer's test.Help settle the argument.

Question 29

Pamela called nine repair shops for quotes for auto repairs.The prices are $139,$150,$345,$99,$167,$155,$140,$200,and $160.She thinks there is a chance that there is an outlier and the data may be skewed.Which measure of central tendency should she choose and what value would that be?

Question 30

Mr.Joseph recently received a notice that his average gas and electric bill would increase at the beginning of the year.He went online to see the amount of his last 12 bills.If his average bill over the past 12 months goes up 17%,what can he expect to pay on average next year? ​

Question 31

Sarah is a server at a restaurant and has been keeping track of the tips she receives.The smallest bill she received a tip for was $24.44,and the largest bill was $89.75.She used linear regression to model tips received (y)as a function of the restaurant bill (x).Using her data,she wrote a linear regression equation of y = 0.22x-0.27.Sarah would really like to get a $50 tip.Based on her linear regression equation,what would the restaurant bill have to be to lead to a $50 tip? Would this calculation be considered interpolation or extrapolation?

Question 32

Catalina's mother recorded her height each year.The table below shows her height,in inches. ​
Find the equation of the regression line.

Question 33

Does the graph below have a positive,a negative,or no correlation?
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Question 34

What kind of data does a scatterplot use?

Question 35

Victor found five cars online that he will go and see.The prices of the cars are: $5,000;$4,500;$5,500;$3,999;and $4,999.To save time,he only wants to see cars that are within one standard deviation of the mean.How many cars will he see?