#11

The table shows the location and number of floors in some of the tallest buildings in the world. Complete parts (a) through (c) below. City # Floors City 1 175 City 2 116 City 3 110 City 4 102 City 5 102 a. Find, and interpret (report in context) the mean number of floors in this data set. Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) O A. The typical number of floors per city is O B. The typical number of floors in each tallest building is O C. The typical number of floors in each city is O D. The typical number of floors of the tallest buildings is b. Find and interpret the standard deviation of the number of floors in this data set. Select the correct choice below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest tenth as needed.) O A. The standard deviation of the number of floors per city is O B. The standard deviation of the number of floors in each tallest building is O C. The standard deviation of the number of floors in each city is O D. The standard deviation of the number of floors of the tallest buildings is(3. Which of the given observations is farthest from the mean and therefore contributes most to the standard deviation? The number farthest from the mean that contributes the most to the given standard deviation is . which represents the number of floors in A survey asked respondents their gender and how much they thought should be spent on a wedding. The following table shows the descriptive statistics for wedding costs, split by gender. Complete parts (a) and (b) below. Variable Gender N Mean StDev Minimum Q1 Median Q3 Maximum Amount Female 101 52977 136,446 5000 10000 20000 1,000,000 Male 75 53710 138,541 5000 10000 20000 809,521 a. How many people were surveyed? (Simplify your answer.) b. Compare the results for men and women. Which group thought more should be spent on a wedding? Which group had more variation in their response? Comparing the means, think that more should be spent on a wedding. Comparing the standard deviations, there is more variation in the responses from theThe accompanying histogram shows the number of runs scored by baseball teams for three seasons, The distribution is roughly unimodal and symmetric, With a mean of 687 and a standard deVIation of 68 runs, Ari Interval one standard deviation above and below the mean is marked on the histogram Assume the values in a bin are distributed uniformly. For example, ifthe leftmost line is at the midpoint, then half of that bin's values are below the line and half are above. Complete parts (a) through (c) below Id Click the icon to view the histogram, a According to the Empirical Rule, approximately what percent ofthe data should fall in the interval from 619 to 755 (that is, one standard deVIation above and below the mean)\" Approximately % of the data should fall in the interval from 619 to 755, b. Use the histogram to estimate the actual percent otteams that fall in this interval How did your estimate compare to the value predicted by the Empirical Rule? 0 A. 94% of the data falls in the interval from 619 to 755, The estimate is very close to the value predicted by the Empirical Rule 0 E. 50% of the data falls in the interval from 619 to 755, The estimate is not close to the value predicted by the Empirical Rule O C. 69% of the data falls in the interval from 619 to 755, The estimate is very close to the value predicted by the Empirical Rule O D. 69% of the data falls in the interval from 619 to 755, The estimate is not close to the value predicted by the Empirical Rule c Between what two values would you expect to nd about 95% ofthe teams? You expect to nd about 95% of the teams between the two values and (Simplify your answers, Use ascending order) \fData on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use is approximately unimodal and symmetric. Complete parts (a) through (d) below. a. Between which two values would you expect to find approximately the middle 68% of the per capita energy consumption rates? Between and million BTU (Round to one decimal place as needed. Use ascending order.) b. Between which two values would you expect to find approximately the middle 95% of the per capita energy consumption rates? Between | and million BTU (Round to one decimal place as needed. Use ascending order.) c. If an eastern state had a per capita residential energy consumption rate of 53.6 million BTU, would this be considered unusual? Explain. O A. No, because 53.6 million BTU is more than two standard deviations from the mean. O B. No, because 53.6 million BTU is not more than two standard deviations from the mean. O C. Yes, because 53.6 million BTU is more than two standard deviations from the mean. O D. Yes, because 53.6 million BTU is not more than two standard deviations from the mean. d. New Jersey had a per capita residential energy consumption rate of 65.8 million BTU, would this be considered unusually low? Explain. O A. Yes, because 65.8 million BTU is not more than two standard deviations below the mean. O B. No, because 65.8 million BTU is more than two standard deviations below the mean. O C. Yes, because 65.8 million BTU is more than two standard deviations below the mean. O D. No, because 65.8 million BTU is not more than two standard deviations below the mean.The dotplot shows heights of college women; Hat ht "$135).ng the mean is 64 inches (5 feet 4 inches) and the an a m a standard deviation is 3 inches. Complete parts Q a and b below. I27 55 58 51 64 5? ?0 T3 321 0 1 2 3 a. What is the z-score for a height of 70 inches (5 feet 10 inches)? C b. What is the height of a woman with a 2score of 1'? I: inches An IQ test has a mean of 108 and a standard deviation of 15. Which is more unusual, an IQ of 123 or an IQ of 80? Select the correct choice below and, If necessary, ll in the answer boxes to complete your choice. - An IQ of 80 is more unusual because its corresponding z-score, (Type integers or decimals rounded to two decimal places as needed.) , is further from 0 than the corresponding z-score of - An IQ of 123 is more unusual because its corresponding ziscore, , is further from 0 than the corresponding ziscore of (Type integers or decimals rounded to two decimal places as needed.) . Both le are equallyr likely. for an IQ of 123. for an IQ of 80. The accompanying table shows the numbers of capital prisoners (prisoners on death row) in 2017 in eleven southern US. states Complete parts (a) through (9) below. a Click the icon to view the table for the number of capital prisoners in 201'." a. Find the median number of prisoners and interpret (using a sentence in context). Select the correct choice below and ll in the answer box within your choice. (Type an integer or a decimal. Do not round.) O A. The median is capital prisoner(s). This means that 50% of these southern states have more than this many capital prisoners. O B_ The median is capital prisoner(s). This means that 75% of these southern states have more than this many capital prisoners. O c_ The median is capital prisoner(s}. This means that 25% of these southern states have more than this many capital prisoners. O D. The median is capital prisoner(s). This means that none of these southern states have more than this many capital prisoners. b. Find the interquartile range (showing 01 and 03 in the process) to measure the variability in the number ofprisoners. Find 01. Q1 : capital prisoner(s) (Type an integer or a decimal. Do not round.) Find 03. Q3 = capital prisoner(s) (Type an integer or a decimal. Do not round.) Find he interquartile range (IQR). IQR = capital prisoner(s) (Type an integer or a decimal. Do not round.) c What is the mean number of capital prisoners? The mean number of capital prisoners is prisoner(s) The mean number of capital prisoners is El prisoner(s). (Type an integer or decimal rounded to one decimal place as needed.) d. Why is the mean so much larger than the median? O A. The mean is pulled up by the very large numbers. such as Texas (243) and Florida (3T4). O B. The mean is pulled up by the numbers that are close to the median. O C. The mean is pulled up by the very small numbers, such as Maryland (0} and West Virginia (0). O D. The mean is pulled up by the numbers that are close to the mean. e. Why is it better to report the median, instead of the mean. as a typical measure? 0 A. The median is unaffected by outliers. O B. The median is better because the distribution is symmetric. O C. The median is better because of the small sample size. 0 D. The median is affected by outliers. Number of Capital Prisoners in 2017 State Capital Prisoners Mississippi 48 Alabama 191 Arkansas 32 Kentucky 33 Florida 374 Tennessee 62 Maryland 0 Louisiana 73 North Carolina 152 West Virginia 0 Texas 243