WorksheetsMATH168 Chapter 1-2 Exam Practice
Total questions: 41
Worksheet time: 2hrs 3mins
A high school senior is collecting data on the colleges in which she is interested. Identify the variables as either categorical or quantitative.
Type of college: Private or Public college
categorical
quantitative
neither
both
A high school senior is collecting data on the colleges in which she is interested. Identify the variables as either categorical or quantitative.
Tuition: in thousands of dollars
categorical
quantitative
neither
both
A high school senior is collecting data on the colleges in which she is interested. Identify the variables as either categorical or quantitative.
Zip Code: the zip code of the part of the country in which the college is located
categorical
quantitative
neither
both
A high school senior is collecting data on the colleges in which she is interested, including the following variables: Type of college, Tuition, State, Enrollment, Student-Faculty Ratio, Graduation Rate
What are the cases in the high school senior's dataset?
Colleges
Tuitions
Graduation Rate
State
The ________ variable is used to understand or predict values of the ________ variable.
(a) (b)
Match the following
Mu
Population mean
x-bar
Sample mean
p-hat
sample proportion
p
Population proportion
r
correlation coefficient
A (a) includes (b) individuals or objects of interest.
State whether the data are best described as a population or a sample
The makers of M&M's state that when they package their candies they thoroughly mix the colored candies together and randomly put them into packages. A student purchases a bag of Milk Chocolate M&M's from the vending machine.
population
sample
State whether the data are best described as a population or a sample
A football fan recorded the number of rushing yards for all NFL running backs who played last season.
population
sample
100 fish taken from a lake
3 states in south
types of cars owned by my students
ALL at LCCC professors
26 letters of the alphabet
asking question about exercise in front of gym
email survey
non random assignment of explanatory variable
phat =0.27
mean value of 12 pounds
difference in mean ages for sample of stats students
A group of researchers investigated the effect of media usage (whether or not subjects watch television or use the Internet) in the bedroom on "Tiredness" during the day (measured on a 50 point scale).
Identify the variables described and whether they are categorical or quantitative.
Media usage in the bedroom = Categorical; "Tiredness" = Categorical
Media usage in the bedroom = Categorical; "Tiredness" = Quantitative
Media usage in the bedroom = Quantitative; "Tiredness" = Categorical
Media usage in the bedroom = Quantitative; "Tiredness" = Quantitative
A group of researchers investigated the effect of media usage (whether or not subjects watch television or use the Internet) in the bedroom on "Tiredness" during the day (measured on a 50 point scale).
Suppose that the researchers found that the individuals who use media in the bedroom tended to be more tired during the day than those who do not. Would it be appropriate for the researchers to conclude that using media in the bedroom causes tiredness during the day?
YES
NO
A group of students were asked to count the number of scars on both of their hands. The number of scars on their dominant hand was compared to the number of scars on their "off" hand. Is this an observational study or a randomized experiment?
Observational
Random Experiment
A university's Admissions staff sends one of four different representatives to work at college fairs. A study was conducted to evaluate the relative effectiveness of the four representatives. For each college fair over the course of the year, the number of inquiries from students, the type of fair (large or small), the representative who worked at that fair, and the percent of inquiries that resulted in applications were recorded. It was found that one of the representatives was far more effective at getting lots of inquiries.
What are the cases in this study?
The number of inquiries from students
The percent of inquiries that resulted in applications
students
college fair inquiries
A university's Admissions staff sends one of four different representatives to work at college fairs. A study was conducted to evaluate the relative effectiveness of the four representatives. For each college fair over the course of the year, the number of inquiries from students, the type of fair (large or small), the representative gender who worked at that fair, and the percent of inquiries that resulted in applications were recorded. It was found that one of the representatives was far more effective at getting lots of inquiries.
The number of inquiries from students
quantitative
Type of fair
categorical
representative's gender
categorical
percent of inquiries
quantitative
A university's Admissions staff sends one of four different representatives to work at college fairs. A study was conducted to evaluate the relative effectiveness of the four representatives. For each college fair over the course of the year, the number of inquiries from students, the type of fair (large or small), the representative who worked at that fair, and the percent of inquiries that resulted in applications were recorded. It was found that one of the representatives was far more effective at getting lots of inquiries.
This is an (a) study
What proportion of respondents have a college degree? Round your answer to three decimal places.
answers in form of 0.000
(a)
What proportion of respondents have no opinion on the theory of evolution? Round your answer to two decimal places.
answers in form of 0.000
(a)
What proportion of non-believers have a high school education or less? Use four decimal places in your answer.
answers in form of 0.000
(a)
What proportion of college graduates believe in the theory of evolution? Use four decimal places in your answer.
answers in form of 0.000
(a)
Compute the difference in the proportion of men who would prefer a job outside of the home and the proportion of females who would prefer a job outside of the home. Use two decimal places in your answer.
(a)
If a distribution is roughly symmetric, which relationship between the mean and median is likely true?
MEAN<MEDIAN
MEAN ≈ MEDIAN
MEAN>MEDIAN
If a distribution is heavily skewed to the right, which relationship between the mean and median is likely true?
MEAN<MEDIAN
MEAN ≈ MEDIAN
MEAN>MEDIAN
Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place.
1 , 17, 12, 20, 27, 23, 8, 5
The mean is (a)
The median is (b)
The skew is (c)
Which of the following best describes the distribution of times for the top 100 male finishers in the marathon?
Skewed Right
Skewed Left
Roughly symmetrical
The mean time for the top 100 males is closest to which value?
135 minutes
151 minutes
148 minutes
140 minutes
The median time for the top 100 males is closest to which value?
156 minutes
140 minutes
145 minutes
151 minutes
The distribution of waiting times at the student health center is bell-shaped with a mean of 10 minutes and a standard deviation of 3. Find the z-score of someone who waits 5 minutes. Round your z-score to two decimal places. Be sure to specifically indicate if a wait time of 5 minutes is unusual.
1.67; The wait time is unusual.
-1.67; The wait time is not unusual.
-1.67; The wait time is unusual.
1.67; The wait time is not unusual.
Give the sample mean pulse rate. Use two decimal places in your answer.
Find the standard deviation of the pulse rates. Use two decimal places in your answer.
Find the five number summary and enter the IQR value
Are any of the entries outliers using the IQR rule?
No
yes, 110 only
yes, 110 and 75
More than two data values are outliers
Identify which graphical display might be appropriate in each case. Select ALL that apply.
Compare the number of points scored for all games played in a season for all football teams in the Big 10 conference.
Side by side boxplots
Bar Chart
Dotplot
Side by side bar chart
Scatter Plot
Identify which graphical display might be appropriate in each case. Select ALL that apply.
Investigate the relationship between pulse rate (in beats per minute) and systolic blood pressure (the top number in a blood pressure reading, measured in of mercury) for patients at the student health center.
Side by side boxplots
Bar Chart
Dotplot
Side by side bar chart
Scatter Plot
Find the correlation(r) between the number of students accepted and enrolled. Use two decimal places in your answer.
Find the least squares regression line for predicting the number enrolled from the number accepted.
enrolled=89 + 0.208(accepted)
enrolled = 85 +0.208(accepted)
enrolled = 89 +0.204(accepted)
enrolled = 85 +0.206(accepted)
Interpret the slope in of the least squares regression line in context.
Interpret the intercept of the least squares regression line in context. Does the interpretation make sense?
Suppose Admissions has announced that 2,575 students have been accepted this year. Use your regression equation to predict the number of students that will enroll.
Use your prediction equation to calculate the residual value if 2660 are accepted
Use your prediction equation to calculate the residual value if 2660 are accepted....what does this mean in context?
data point is below trend line
data point is above trend line
prediction equals data value
it means nothing its just a number
