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2.Heights of the Highest Waterfalls The heights in feet) of the 20 highest waterfalls in the world are shown here. (Note: The height of Niagara Falls is 182 feet!) below. Based on these data, what do you think of the claim that the average expenditure per pupil in the United States exceeds $10,000? a 94222 b 8988 3212 2800 2625 2540 2499 2425 2307 2151 2123 2000 1904 1841 1650 1612 1536 1388 1215 1198 1182 1170 Source: New York Times Almanac. 6,300 11847 8,319 9,344 9,870 10,460 7,491 7,552 12,568 8,632 7,552 12,568 8,632 11,057 10,454 8,109 Source: New York Times Aimanac. 3. High Temperatures The reported high temperatures (in degrees Fahrenheit) for selected world cities on an October day are shown below. Which measure of central tendency do you think best describes these data? gs of Nonliving Celebrities Forbes zine prints an annual Top-Earning Nonliving 62 72 66 79 83 61 62 85 72 64 74 71 42 38 91 66 77 90 74 63 64 68 42 Celebrities list (based on royalties and estate earnings). Find the measures of central tendency for these data anc comment on the skewness. Figures represent millions o dollars. Source: www.accuweather.com a. 68.1 b. 68 e. 42. 62. 64. 66. 72. 74 d 645
12. Exam Scores For 108 randomly selected college students, this exam score frequency distribution was obtained. (The data in this exercise will be used in Exercise 18 in Section 3-2.) Class limits Frequency 90-98 99-107 108-116 117-125 126-134 43 28
26 Find the weighted mean price of three models of automobiles sold. The number and price of each model sold are shown in this list. Model Number Price 10 12 $10,000 12,000 8,000
725,000 Final Grade An instructor grades exams, 20%; term paper, 30%; final exam, 50%. A student had grades of 83, 72, and 90, respectively, for exams, term paper, and final exam. Find the students final average. Use the weighted mean.
garette Taxes The increases (in cents) in garette taxes for 17 states in a 6-month period are 60, 20, 40, 40, 45, 12, 34, 51, 30, 70, 42, 31, 69, 32, 8, 18, 50 Use the range rule of thumb to estimate the standard deviation. Compare the estimate to the actual standard deviation.
9. Precipitation and High Temperatures The normal daily high temperatures (in degrees Fahrenheit) in January for 10 selected cities are as follows. 50, 37, 29, 54, 30, 61, 47, 38, 34, 61 The normal monthly precipitation (in inches) for these same 10 cities is listed here. Which set is more variable? Source: New York Times Almanac.
25. Battery Lives Eighty randomly selected batteries were tested to determine their lifetimes (in hours). The following frequency distribution was obtained. Class boundaries Frequency 62.5-73.5 73.5-845 84.5-95.5 95.5-106.5 106.5-117.5 117.5-128.5 14 18 25 12 Can it be concluded that the lifetimes of these brands of batteries are consistent?
36. Time Spent Online Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lie. Use Chebyshevs theorem.
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14. Test Scores A student scores 60 on a mathematics test that has a mean of 54 and a standard deviation of 3, and she scores 80 on a history test with a mean of 75 and a standard deviation of 2. On which test did she perform better?
Average Weekly Earnings The average weekly ings in dollars for various industries are listed below. Find the percentile rank of each value. 804. 736 659 489 777 623 597 524 228 Source: New York Times Almanac. 23. For the data from Exercise 22, what value corresponds to the 40th percentile?
4.)147,243, 156, 632, 543, 303 For Exercises 1-6, identify the five-number summary and find the interquartile range. 1.)8, 12, 32, 6, 27, 19, 54 5. 14.6, 19.8, 16.3, 15.5, 18.2
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Answer #1

Solution:-

14) The student performed better on history test, because the z-score for history test is greater than z-score for mathematics.

Mathematics test

Mean = 54, S.D = 3

x = 60

By applying normal distribution:-

z = \frac{x-\mu }{\sigma }

z = 2.0

History test

Mean = 75, S.D = 2

x = 80

By applying normal distribution:-

z = \frac{x-\mu }{\sigma }

z = 2.5

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