1- Response time is an important performance measure when searching on-line (for example, at Hotels.com or...

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1- Response time is an important performance measure when searching on-line (for example, at Hotels.com or TatilSepeti.com) if a hotel is available for a certain day. It is defined as the length of the time interval between (a) the instant at which the request for a response (about availability) is sent and (b) the instant at which the response is received. A sample of 30 response times, measured in hundredth seconds (i.e., s/100) and ordered from small to large, taken within one hour, is: 12, 13, 15, 16, 16, 17, 19, 19, 19, 20, 21, 21, 22, 23, 23, 24, 24, 24, 26, 27, 27, 29, 30, 34, 34, 35, 35, 41, 44, 49 For this data set, the arithmetic mean is 25.3, the standard deviation is 8.8, and the variance is s² = 78.2 (rounded). a) Arrange the data in a stemplot, using 1|2 = 12. b) Determine the median. c) Determine the lower (first) and upper (third) quartile. d) Make a boxplot of this distribution. e) Draw a histogram of the sample data, based on intervals [10; 20), [20; 30), [30; 50). g) Why is it useful to compute arithmetic mean and standard deviation in this case? (Explain briefly what we gain by computing them.) 1- Response time is an important performance measure when searching on-line (for example, at Hotels.com or TatilSepeti.com) if a hotel is available for a certain day. It is defined as the length of the time interval between (a) the instant at which the request for a response (about availability) is sent and (b) the instant at which the response is received. A sample of 30 response times, measured in hundredth seconds (i.e., s/100) and ordered from small to large, taken within one hour, is: 12, 13, 15, 16, 16, 17, 19, 19, 19, 20, 21, 21, 22, 23, 23, 24, 24, 24, 26, 27, 27, 29, 30, 34, 34, 35, 35, 41, 44, 49 For this data set, the arithmetic mean is 25.3, the standard deviation is 8.8, and the variance is s² = 78.2 (rounded). a) Arrange the data in a stemplot, using 1|2 = 12. b) Determine the median. c) Determine the lower (first) and upper (third) quartile. d) Make a boxplot of this distribution. e) Draw a histogram of the sample data, based on intervals [10; 20), [20; 30), [30; 50). g) Why is it useful to compute arithmetic mean and standard deviation in this case? (Explain briefly what we gain by computing them.)