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1 Plaza Gallery in Chicago sells home furniture online and is concerned about some of their shipments to customers arriving late. Five days were randomly selected and the number of late shipment complaints were recorded. The observations were 3, 5, 1, 9, and 6. a. Find the sample variance and sample standard deviation for these data. b. If each observation in the above data is multiplied by a half (0.5), what will be the variance and the standard deviation of the new data? No need of calculations. c. Under what circumstances, the variance and hence the standard deviation will be 0

1 Plaza Gallery in Chicago sells home furniture online and is concerned about some of their shipments to customers arriving late. Five days were randomly selected and the number of late shipment complaints were recorded. The observations were 3, 5, 1, 9, and 6. a. Find the sample variance and sample standard deviation for these data. b. If each observation in the above data is multiplied by a half (0.5), what will be the variance and the standard deviation of the new data? No need of calculations. c. Under what circumstances, the variance and hence the standard deviation will be 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1 Plaza Gallery in Chicago sells home furniture online and is concerned about some of their shipments to customers arriving late. Five days were randomly selected and the number of late shipment complaints were recorded. The observations were 3, 5, 1, 9, and 6. a. Find the sample variance and sample standard deviation for these data. b. If each observation in the above data is multiplied by a half (0.5), what will be the variance and the standard deviation of the new data? No need of calculations. c. Under what circumstances, the variance and hence the standard deviation will be 0 (i.e. s =0 )? 2 The manager of a Sobey store is interested in characterizing the distribution of purchases made by personal check. In a random sample of check amounts (in dollars), the shape of the distribution is approximately mound shaped with x=37.5 and s =5.2. a. Approximately what proportion of observations is between 27.1 and 47.9? b. Approximately what proportion of observations is greater than 53.1 or less than 21.9? c. Approximately what proportion of observations is between 32.3 and 47.9?
Transcribed Image Text:1 Plaza Gallery in Chicago sells home furniture online and is concerned about some of their shipments to customers arriving late. Five days were randomly selected and the number of late shipment complaints were recorded. The observations were 3, 5, 1, 9, and 6. a. Find the sample variance and sample standard deviation for these data. b. If each observation in the above data is multiplied by a half (0.5), what will be the variance and the standard deviation of the new data? No need of calculations. c. Under what circumstances, the variance and hence the standard deviation will be 0 (i.e. s =0 )? 2 The manager of a Sobey store is interested in characterizing the distribution of purchases made by personal check. In a random sample of check amounts (in dollars), the shape of the distribution is approximately mound shaped with x=37.5 and s =5.2. a. Approximately what proportion of observations is between 27.1 and 47.9? b. Approximately what proportion of observations is greater than 53.1 or less than 21.9? c. Approximately what proportion of observations is between 32.3 and 47.9?
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