1. The data to the right contain the quarterly sales tax receipts (in thousands of dollars) 17.13 submitted to the comptroller of a county for the period ending March 2011 by all 20 12.41 11.32 9.16 15.78 12.23 11.25 8.95 15.32 11.85 11.14 7.52 14.03 11.78 10.11 6.96 12.51 11.44 9.46 6.94 a. Compute the mean, variance, and standard deviation for the population? b. The population mean is? 2. The following is a set of data from a sample of N= 11 items. Complete parts (a) through left parenthesis c right parenthesis . X, Y 11 33 9,2 7 19 57 20 60 5 15 8 24 13 ,39 17 51 1 3 15 ,45 2 6 Compute the sample covariance? Compute the coefficient of correlation? 3. The following data represent the calories and fat, in grams, of various 16-ounce iced coffee drinks. Product Calories Fat A 210 6.0 B 250 3.4 C 310 20.5 D 320 20.3 E 330 15.6 F 430 16.5 G 600 19.5 Compute the coefficient of correlation. 4. The following is a set of data for a population with n=10. 14, 7 3, 6, 4, 9,13,11,5,7 a. Compute the population mean. b. Compute the population standard deviation. 5. A company's stock price rose 1.8% in 2011, and in 2012, it increased 17.4%. a. Compute the geometric mean rate of return for the two-year period 2011-2012. (Hint: Denote an increase of 17.4% by 0.174) b.If someone purchased $1,000 of the company's stock at the start of 2011, what was its value at the end of 2012? C Over the same period, another company had a geometric mean rate of return of 34.41%. If someone purchased $1,000 of the other company's stock, how would its value compare to the value found in part (b)? 6. The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. Samples of five tires from each grade were selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are shown below. Complete parts (a) through (c) below. The standard deviation for Grade X is ? 7. The following set of data is from a sample of n=7 . 5 2 7 14 1 2 11 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set. 8. The following is a set of data from a sample of n=5 . 94513 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set. 9. The data table shows the yields for a one-year certificate of deposit (CD) and a five-year CD for 13 banks. Complete parts (a) through (c). One-Year CD 2.47 2.87 2.72 2.96 Five-Year CD 3.47 3.64 3.56 3.55 2.93 3.74 3.75 3.26 3.82 2.77 2.59 2.74 4.89 4.05 3.52 4.99 4.11 4.24 3.57 3.55 3.51 4.89 a. Compute the first quartile Q1? b.Compute the 3rd quartile Q3? 10. College football players trying out for a semi-professional league are given a standardized intelligence test. The data below contains the average score on this exam and the graduation rate for football players at 10 different schools. Use these data to complete parts (a) through (c) Test Score Graduation % 27.6 42.9 27.2 62.5 25.6 51.1 25.4 47.5 24.2 75.7 23.6 32.1 20.7 41.3 19.3 57.3 16.5 57.6 16.1 37.8 Compute the covariance