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Study Resources (Statistics)

    16. [Objective:  Show ability to judge reliability and validity of conclusions of a statistical study]  Name two of the four key features of a well-designed controlled experiment.  When is it important to have a well- designed controlled experiment? For questions (17) and (18), use the following description of a controlled experiment: Two similar kindergarten.
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    1. [Objective:  Interpret visual displays of numerical data]  For twenty days a record store owner counts the number of customers who purchase an album by a certain artist.  The data and a dotplot of the data are shown below:     Which of the following statements can be made using the given.
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  Use the following data to answer questions (16)-(18).  Here are the scores on a recent statistics midterm exam (Scores have been listed from lowest to highest).  A histogram showing the distribution is also included.                16.  [Objective:  Determine the most appropriate typical value for skewed data]  Which measure of.
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  11. [Objective:  Understand the components of a linear regression model]  Suppose it has been established that “annual income” and “Years of college” are linearly related, and that the relationship can be modeled using the following equation:  Annual Income = $23,400+$7200(Years of College).  In this model, “Annual Income” is the __?__ variable, and “Years.
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  Use the following information for questions (19) and (20). The boxplots below are from a Graphing Calulator.  The boxplots summarize the cost in dollars of a typical evening out for two people (dinner and a movie) in two different cities in west Michigan, Muskegon (top boxplot) and Grand Rapids (bottom.
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  11. [Objective:  Apply the probability rules]  What is the probability that a randomly chosen survey respondent   is male or chose “recreation” as their most likely activity on Saturday mornings? a. 0.790   b. 0.480 c. 0.675 d. None of the above     12. [Objective:  Apply the probability rules]  Find the probability that a female college student from the.
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    1.[Objective:  Distinguish between discrete and continuous-valued variables]  Explain the difference between a discrete random variable and a continuous random variable and give an example of each. 2. [Objective:  Understand the uniform probability distribution]  When exposed to heat, the reaction time of a certain chemical always occurs after thirteen minutes, but before 17.
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1. [Objective:  Analyze a scatterplot and recognize trends]  The scatterplot below shows the ice cream sales and daily high temperatures for a three week period of time during the summer.  Does there appear to be an association between these two variables?  If so, describe the pattern.  Be sure to comment.
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  6. [Objective:  Calculate the probability of the complement of an event] State the complement of the event given in question (5) and calculate the probability of the complement.  Show your work and round to the nearest tenth of a percent. 7. [Objective:  Apply the rules of probability]  What is the probability that.
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  1. [Objective:  Distinguish between discrete and continuous-valued variables]  Determine whether the variable would best be modeled as continuous or discrete:  The temperature of a greenhouse at a certain time of the day.   a. Continuous b. Discrete     2. [Objective:  Distinguish between discrete and continuous-valued variables]  Determine whether the variable would best be modeled as.
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  1.[Objective:  Understand the meaning of probability]  Which of the following statements is not true about   probability? a. A probability of zero means that an event will not happen, a probability of one means that an event   is certain to happen. b. Probability is used to measure how often random events occur.   c. Probabilities are always.
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  12. [Objective:  Recognize the important features of a numerical distribution]  You have created a histogram showing the distribution of the amount of money spent weekly on video game purchases of 120 males ages 19-25 over the last 6 months.  The histogram shows that the typical amount spent by males in.
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  11. [Objective:  Apply the Central Limit Theorem]  Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals.  What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals? Round to the nearest.
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  6. [Objective:  Use the Empirical rule to determine unusual values]  Suppose a female professor is offered a position with an annual salary of $100,000.  Compared to the women from the nine institutions in the study, would this be an unusually good salary?  Explain. 7.  [Objective:  Understand and apply the Empirical.
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  Use the following information to answer questions (1) and (2).   A junior high gym teacher recorded the time, in minutes, that it took two of her classes to run one mile.  Here are the summary statistics for each class: 1.  [Objective:  Interpret the mean and standard deviation]  Write a sentence.
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  The histograms below show the distribution of the amount of time per week spent outside of school on extracurricular athletic activities for high school boys and high school girls.   Use the histograms to answer questions (9), (10) and (11).   9. [Objective:  Recognize the important features of a numerical distribution]  Compare.
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  16. [Objective:  Apply the probability rules]  What is the probability that all four people rent a house or apartment?  Show your work and round to the nearest thousandth. 17. [Objective:  Apply the probability rules]  What is the probability that none of the four randomly selected people rent a house or apartment? Show your.
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    1. [Objective:  Distinguish between discrete and continuous-valued variables]  Determine whether the   variable would best be modeled as continuous or discrete:  The number of cups dispensed from a beverage vending machine during a 24-hour period.   a. Continuous b. Discrete     2. [Objective:  Distinguish between discrete and continuous-valued variables]  Determine whether the variable would best be modeled as.
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    The dotplot shows how many times a computer was used daily at a public library during a 30-day period.  Use information from the dotplot to answer questions (1) and (2).   1. [Objective:  Interpret visual displays of numerical data]  Describe the shape of the distribution in context? 2. [Objective:  Interpret visual.
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  6. [Objective:  Recognize the important features of a numerical distribution]  Define the important features to look for when presented with a numerical distribution. 7. [Objective:  Predict the shape of a distribution]  A used car salesman decides to track the number of cars he sold each week for the past twelve.
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    1.[Objective:  Understand the meaning of probability]  Which of the following statements is not true about   probability in general? a. Probability is used to measure how often random events occur. b. Probabilities are always numbers between 0 and 1 inclusive. c. A probability of 0 means that an event will not occur and a probability.
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  11. [Objective: Apply the Central Limit Theorem] Suppose the event planner assumes that 4% of the guests will be pescatarian so he orders 10 pescatarian meals. What is the approximate probability that more than 4.  of the guests are pescatarian and that he will   not have enough pescatarian meals? Round.
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1. [Objective:  Interpret visual displays of numerical data]  Each day for twenty days a record store owner counts the number of customers who purchase an album by a certain artist.  The data and a dotplot of the data are shown below: Which of the following statements can be made using the given.
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    For questions (1)-(3), fill in the blank to complete the statement. 1. [Objective: Understand survey terminology] Suppose that the age of all the U. S. vice presidents when they took office was recorded. The collection of the ages of all the U. S. vice presidents when they took office is a_______________. a. Population b. Sample c..
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  11. [Objective:  Apply the rules of probability]  If one person is chosen randomly from the group, what is the probability that the person purchased a sport utility vehicle or a pick-up truck? 12. [Objective:  Apply the rules of probability]  Find the probability that a randomly chosen female buyer bought a van.  (Round to.
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  6. [Objective:  Estimate the correlation coefficient]  Suppose each of these families is given a grocery credit of $100, therefore reducing expenditures in the table by one unit (since this variable was recorded in hundreds of dollars).  Estimate the new correlation with city size.  What happens to the correlation when a.
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  11. [Objective:  Recognize the important features of a numerical distribution]   Based on the histogram in question (10), would it be unusual to be on hold for 5 minutes or more at this call center? a. Yes, it would be unusual. b. No, it would not be unusual. c. Not enough information given. 12. [Objective:  Recognize.
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  10. [Objective:  Apply the probability rules]  If one student is randomly chosen from the group, what is the   probability that the student chose “recreation” or “other” as their most likely activity on a Saturday morning? a. 0.395 b. 0.375 c. 0.275 d. None of the above     11. [Objective:  Apply the probability rules]  If one student is.
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  11. [Objective:  Apply a linear model]  Use the regression equation to predict how many children a married couple will have if they live in city with a population of 40,000 people. 12. [Objective:  Understand the components of a linear regression model]  State the slope and intercept of the regression line and.
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  6. [Objective:  Apply the normal model to find probabilities]  Roughly what percentage of regulation soccer balls has a circumference that is greater than 69.9 cm?  Round to the nearest tenth of a percent. 7. [Objective:  Apply the normal model to find probabilities]  If a regulation soccer ball is randomly selected, what is the.
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  11. [Objective:  Understand the components of a linear regression model]  Suppose it has been established that “home value” and “Years of college” are linearly related, and that the relationship can be modeled using the following equation:  Home value = $75,000+$12,500(Years of College).  In this model, “years of college” is the __?__ variable, and.
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  For questions (1)-(3), fill in the blank to complete the statement. 1. [Objective:  Understand survey terminology]  The collection of the ages of all the U. S. first ladies when they married is a _______________. a. Population b. Sample c. Parameter d. Statistic 2. [Objective:  Understand survey terminology]  Suppose that the age of all the U. S. first.
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  1. [Objective:  Analyze a scatterplot and recognize trends]  The scatterplot below shows the hat size and IQ of some adults.  Is the trend positive, negative, or near zero? a. Positive b. Negative c. Near Zero                   2. [Objective:  Analyze a scatter plot and recognize trends]  The scatterplot below shows the number of tackles received and the number.
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    1.[Objective:  Analyze a scatter plot and recognize trends]  Doctors believe that smoking cigarettes lowers   lung capacity.  To test this they measured the lung capacity (in liters) and the number of cigarettes smoked in a typical day for a sample of adults.  Is the scatterplot below consistent with the researcher’s hypothesis? a. Yes,.
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  11. [Objective:  Perform percentage or rate calculations given data that is organized in a two-way table] Overall, what percentage of the sample supports the helmet law?  Round to the nearest whole percent. Answer questions (12)-(14) using the following  table showing fatal injury counts by four major categories from 2004-2009 for Michigan Residents..
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  11. [Objective:  Calculate z-scores and use to compare relative standing]  The average grade on an algebra exam was 76% with a standard deviation of 6 percentage points.  The average grade on a chemistry exam was 81% with a standard deviation of 2 percentage points.  Julie got a grade of 83%.
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    1.[Objective:  Understand the meaning of randomness and probability]  Consider one toss of a fair six-sided die.  State the sample space of possible outcomes.  State one possible random event then state the theoretical probability of that event.  Explain how you know that this is the probability of the random event. 2. [Objective:  Understand the.
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  11. [Objective:  Recognize the important features of a numerical distribution]  Which of the following statements best describes the distribution and variability of the histogram below? The data in the histogram summarizes length of time on hold for a collection of customers calling a repair call center.   a. The distribution shows.
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    16. [Objective:  Calculate the mean and standard deviation using the binomial model]  Approximately how many trips would you expect to arrive on time out of twenty randomly selected trips, give or take how many trips?  Round to the nearest whole trip. 17. [Objective:  Calculate probabilities using the binomial model]  What is the.
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  A survey was conducted which asked college students, “What is your favorite type of take-out food?”  The results are shown in the graphs below.  Use the graphs to answer questions (18) and (19). 18. [Objective:  Interpret visual displays of categorical data]    Which type of take-out food is least popular?  Is.
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  The bar chart below shows car color for college students at a local community college.  Use the bar chart to answer questions (15), (16) and (17). 15. [Objective:  Recognize the important features of a categorical bar graph]  Report the mode for males and females. 16. [Objective:  Recognize the important features.
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