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The standard deviation of a sample of 56 observations equals 29. The variance of the sample equals O 841 O 112 O 5.385165 O 50.3Remaining Time: 229:25:15 The arithmetic mean salary of XYZ corporation employees is 57,554, and the standard deviation is 5.780. At least what percent of salaries lie within 2.3 standard deviations of the mean? Use Chebyshev's Theorem. (Hound your answer to one decimal place.) Number \"A: The distribution of a sample of the Outside diameters of PVC gas pipes approximates a symmetrical, bell-shaped distribution. The arithmetic mean is 14.1 inches, and the standard deviation is 0.92 inches. Use the Empirical Rule (68-95-991). a) What percentage of outside diameters will lie between 14.1 and 15.94 inches? 'Number ' % b) What percentage of outside diameters will be less than 16.86 inches? ' Number ' % c) What percentage of Outside diameters will be greater than 13.18 inches? ' Number ' Spacey Tracey is an avid bowler. Shown is a sample of 8 of her scores during the season. 232 185 199 202 177 251 170 225 For the above sample, a) find the range. Number b) find the variance. (Round your answer to 3 decimals.) Number c) find the standard deviation. (Round your answer to 3 decimals.) NumberKLW Corporation has 6 regional managers. Each was evaluated and given a productivity score on a scale of 0 to 100. The scores are shown below. 85 92 70 77 99 78 For the above population, a) find the range. Number b) find the variance. (Round your answer to 3 decimals.) Number c) find the standard deviation. (Round your answer to 3 decimals.) NumberThe distribution of le follows a symmetrical. bell-shaped distribution. The arithmetic mean is 102 inches. and the standard deviation is 16. Use the Empirical Rule (68-95-991). a) What percentage of I03 are between 118 and 134? ' Number ' \"A: b) What percentage of lOs are less than 70? ' Number ' % c) What percentage of De are greater than 150? % ' Number Use the following table of grouped data for this problem. Number of Clients Frequency 10 up to 30 21 30 up to 50 37 50 up to 70 25 70 up to 90 14 90 up to 110 3 Total 100 a) Find the arithmetic mean. (Round your answer to 3 decimals.) Number b) Find the sample variance. (Round your answer to 3 decimals.) Number c) Find the sample standard deviation. (Round your answer to 3 decimals.) NumberThe following graph is a 0 contingency table 0 stem-and-Ieaf diagram 0 b0): plot 0 dot plot Sixteen Hyundai Santa Fes were randomly selected, and their fuel economy was recorded in mpg. The data is listed below. 34 40 39 32 39 40 30 40 38 31 32 31 38 35 28 33 Choose the correct dot plot of the data. O . 28 32 36 40 O . . . 28 32 36 40 O . . 28 32 36 40Below you are given the examination scores of 12 students. 52 99 92 86 84 92 63 72 36 105 88 74 Choose the correct stem-and-leaf display for this data. Stem Leaf 3 6 4 5 2 O 6 3 24 468 9 229 10 5 Stem Leaf 1 5 2 3 6 4 O 5 2 6 3 7 24 8 468 9 229 Stem Leaf 3 6 0 2 6 3 7 24 468 9 229 10 5From the following observations and scatter diagram, indicate what kind of relationship (if any) appears to exist between Study Time and Quiz Score? Study Time Quiz Score 3.4 10 3.1 2.5 1.3 1.8 10- -8- -6- There appears to be no relationship between study time and quiz score. There appears to be a positive relationship between study time and quiz score. There appears to be a negative relationship between study time and quiz score. O There appears to be a curvilinear relationship between study time and quiz score.The Central Perk coffee house collects customer satisfaction data daily. Yesterday the place was completely occupied, and the manager wanted to assess customer satisfaction. He randomly selected ten scores. The ten scores were 93 84 76 64 93 75 80 67 60 96 3} Find the mean. (Hound to 1 decimal place.) | Number | b) Find the median. ' Number ' c) Find the sample standard deviation. (Bound to 3 decimal places.) ' Number ' d) Determine the coetficient of skewness using Pearson's method. (Round to 3 decimal places.) I Number