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stat first 1 1. Determine which of the following is a parameter or a statistic. (a) The mean income of all employees at Google. (b) The mean income in Great Britain based on a survey of 1000 people. (c) The mean height of female adult giraffes bases on a sample of 100. (d) The mean score in Steve’s calculus class. (e) The unemployment rate in the US is computed by the Bureau of Labor Statistics by randomly calling 20,000 households in the US. 2. Consider the data set {5, 6, 6, 7, 11, 12, 14, 15, 15, 15, 16, 17, 18, 19, 20, 20, 21}. (a) Construct the frequency distribution table for this data set consisting of five classes. Use 5 as the lower limit of the first class. In addition to the class and frequency, also include the class boundaries and relative frequencies for each class in your table. (b) Draw the frequency histogram based on the frequency distribution from (a) (c) Draw the ogive based on the frequency distribution from (a). 3. Consider the data set {22, 24, 30, 31, 32, 45, 57, 59, 63, 66, 72, 80, 80}. Construct the stem-leaf plot. 4.Consider the data set {5, 6, 6, 7, 11, 12, 14, 15, 15, 15, 16, 17, 18, 19, 20, 20, 21}. (i) Compute the mean. (ii) Compute the median. (iii) Compute the mode. (iv) Compute the five numbers for this data that appears in the box plot. v) Sketch the box plot for this data. 5. Consider the sample data set {10, 12, 15, 19, 20}. (i) Compute the sample mean. (ii) Compute the sample variance. (iii) Compute the sample standard deviation. 6.A cheetah’s top speed follows a bell shaped distribution with a mean of 60mph and a standard deviation of 5mph. Use the 68-95-99.7 rule to answer the following questions. (i) What percentage of cheetahs have top speeds between 50mph and 70mph? (ii) What percentage of cheetahs have speeds between 45mph and 65mph? (iii) What percentage of cheetahs have top speeds below 45mph? 7. The weight of male grizzly bears follows a symmetric distribution with a mean weight of 500 pounds with a standard deviation of 50 pounds. Use the 68-95-99.7 rule to answer the following questions. (i) What percentage of male grizzlies weigh more than 450 pounds? (ii) What percentage of male grizzlies weigh less than 600 pounds? (iii) What percentage of male grizzly bears have a weight between 450 pounds and 600 pounds? 8. A sample with size n = 80 has a mean of ¯x = 25 and a standard deviation of s = 2.5. Using Chebyshev’s theorem, what can be said about the number of data values between 20 and 30? 9.