Birth Weights The table below lists some of the same data used in the preceding exercise, but the seven days of the week are combined into weekday (Monday, Tuesday, Wednesday, Thursday, Friday) and weekend days (Saturday, Sunday). Also, the birth weights are converted to kilograms. What do you conclude?
3. Describing Data Numerically
Mean
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What’s Wrong? Education Week magazine published a list consisting of the mean teacher salary in each of the 50 states for a recent year. If we add the 50 means and then divide by 50, we get \$56,479. Is the value of \$56,479 the mean teacher salary for the population of all teachers in the 50 United States? Why or why not?
- Multiple ChoiceWhat is the geometric mean of 3 and 15?
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Mean of Roller Coaster Speeds Listed below are maximum speeds (km/h) of randomly selected roller coasters in the United States. Find the mean.
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Weighted Mean Michael has just completed his first semester in college. He earned an A in his five-hour calculus course, a B in his four-hour chemistry course, an A in his three-hour speech course, and a C in his three-hour psychology course. Assuming an A equals 4 points, a B equals 3 points, and a C equals 2 points, determine Michael’s grade-point average if grades are weighted by class hours.
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Chicago Taxis Open the data file “ChicagoTaxi”, which is available in StatCrunch. The data file ChicagoTaxi is also available at www.pearsonhighered.com/sullivanstats. This data set represents the trip time, fare, and payment method for all taxi rides on July 25, 2017.
a. Determine the population mean fare of all taxi rides on July 25, 2017.
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Geometric Mean The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. To find the geometric mean of n values (all of which are positive), first multiply the values, then find the nth root of the product. For a 6-year period, money deposited in annual certificates of deposit had annual interest rates of 0.58%, 0.29%, 0.13%, 0.14%, 0.15%, and 0.19%. Identify the single percentage growth rate that is the same as the six consecutive growth rates by computing the geometric mean of 1.0058, 1.0029, 1.0013, 1.0014, 1.0015, and 1.0019.
- Multiple ChoiceIn descriptive statistics, which statement best describes what the mean represents for a set of numerical data?
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Given a normal distribution with mean and standard deviation , what is the mean of the distribution?
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Suppose a population consists of the following values: , , , and . What is the mean of this population?
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Suppose you have two data plots: Plot 1 is symmetric, and Plot 2 is the same as Plot 1 but with one large outlier added to the right. How do the and change from Plot 1 to Plot 2?
- Multiple ChoiceWhat is the mean of the numbers 210, 160, and 200?
- Multiple ChoiceWhat is the geometric mean of 5 and 8?
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Grades In Exercise 46, one of the student’s B grades gets changed to an A. What is the student’s new grade point average?
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Which statistic is the best unbiased estimator for μ?
a. s
b. xbar
c. the median
d. the mode