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

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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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