Question Help e data to the right contain the quarterly sales tax receipts (in t

Question

Question Help e data to the right contain the quarterly sales tax receipts (in thousands of dollars) submited to the mptroller of a county for the period ending March 2011 by all 20 business establishments in that cale. 14.5513.15 10.68 10.26 8.66 7.21 12.34 9.93 8.12 6.99 11.65 9.46 7.87 6.83 10.78 8.87 7.82 8.71 7.66 omplete parts (a) through (c) Compute the mean, variance, and standard deviation for the population. he population mean is . 935 Round to two decimal places as needed.) The population variance is ,512. (Round to two decimal places as needed.) The population standard deviation is. 22 Round to two decimal places as needed) b. What percentage of these businesses have quarterly sales tax receipts witin ±1 standard deviation one the nean, within t2 stardard devias rs of her en rd-hi, t) inan deviations of the mean? The percentage within ±1 standard deviation of the mean is%

Explanation / Answer

b) To get the +-1/+-2/+-3 standard deviation , we need to do

Mean +/- 1*standard deviation = 9.35 +/- 1*2.26 = (7.09, 111.61)

mean +/- 2*standar deviation = 9.35 +/- 2* 2.26 = ( 4.83 , 13.87)

mean +/- 3*standard deviation = 9.35 +/- 3*2.26 = (2.57, 16.13)

c) The standard percentage is 66.27% for +-1 standard deviation. This is empirically proven.

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