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Exam 2: Describing Data

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Question 31

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Use the dataset to compute the following summary statistics in the questions below. - Q3

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Question 32

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Use the following to answer the questions below: The scatterplot shows the relationship between GPA and the number of Facebook friends for 30 students in a class. -The correlation between GPA and the number of Facebook friends is -0.686. Should you go "unfriend" some of your Facebook friends if you want to improve your GPA (i.e., can you conclude that having more Facebook friends lowers GPA)?

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Question 33

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Use the following to answer the questions below: February 12, 2009 marked the 200 ^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. ‪ -What proportion of non-believers have a high school education or less? Use four decimal places in your answer.

Use the following to answer the questions below: In a recent survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table. -Students in a small statistics class were asked which was their dominant hand and if they were in a STEM (science, technology, engineering, and math) major. Their results are listed below. Use the results to construct a two-way table.

Use the following to answer the questions below: A student working an independent research project wants to investigate if there is an association between the amount of sleep someone gets and their body mass index (BMI) - an indicator of body fatness. For a sample of 45 students, she records their BMI and the average amount of sleep they get on weeknights over a two-week period. -What would it mean for average amount of sleep to be negatively correlated with BMI?

Use the following to answer the questions below: 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.

Use the following to answer the questions below: Identify which graphical display might be appropriate in each case. Select all that apply. -Compare the percentage of people in favor of Barack Obama and Mitt Romney in the 2012 Presidential election for the different regions in the U.S. (Northeast, Southeast, Midwest, West) .

Use the statement to answer the following questions below. -A Fun-Size bag of M&M's contains 4 green, 2 red, 4 yellow, 3 orange, 6 blue, and 1 brown candies. Construct a relative frequency table of the results. Use two decimal places in your relative frequencies.

Use the following to answer the questions below: Identify which graphical display might be appropriate in each case. Select all that apply. -Investigate the length of songs on your iPod.

Use the following to answer the questions below: The provided histogram displays the number of Facebook friends for students in a small statistics class. -Which of the following best describes the shape of the distribution of the number of Facebook friends?

Which statistic is more resistant to outliers (or extreme data values) ?

Use the following to answer the questions below: Match the five-number summary to the appropriate boxplot. - 15, 19, 20, 25, 28

Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. -Find and interpret the z-score for the smallest financial aid amount.

Use the following to answer the questions below: The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots. -(58, 88, 94, 133, 185) is the five number summary for which state?

Each of the variables displayed in the histograms below has a mean of 14.5, a range of 8, and 59 observations. Rank the three variables according to their standard deviations, from the smallest to the largest.

Use the following to answer the questions below: Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot. -Calculate the IQR for the distribution of the number of scars students have.

Use the following to answer the questions below: Students in a small statistics course collected data to determine if the length of the forearm could be used to predict the length of the foot (both measured in centimeters) . Their data are displayed in the provided table. -A scatterplot of the data collected by the students is provided. Does there appear to be a positive or negative association between these two variables? What does this mean for these two variables?

If a distribution is heavily skewed to the left, which relationship between the mean and median is most likely?

Use the following to answer the questions below: A student working an independent research project wants to investigate if there is an association between the amount of sleep someone gets and their body mass index (BMI) - an indicator of body fatness. For a sample of 45 students, she records their BMI and the average amount of sleep they get on weeknights over a two-week period. -What would it mean for average amount of sleep and BMI to be positively correlated?

Use the following to answer the questions below: In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked, "In general, how much trust and confidence do you have in the mass media-such as newspapers, TV, and radio-when it comes to reporting the news fully, accurately, and fairly?" 81 said that they had a "great deal" of confidence, 325 said they had a "fair amount" of confidence, 397 said they had "not very much" confidence, and 214 said they had "no confidence at all." -What proportion of respondents have a negative opinion (not very much confidence/none at all) about the mass media? Use two decimal places in your answer.