The number of raisins in each of 14 miniboxes (15g) was counted for a generic br
ID: 3127192 • Letter: T
Question
The number of raisins in each of 14 miniboxes (15g) was counted for a generic brand and for sunmaid brand raisins. The two data sets are shown here. What are the mean and standard deviation s for the generic brand? (round your answers to three decimal places.) What are the mean and standard deviation s for the sunmaid brand? (round your answers to three decimal places.) Compare the centres and variabilities of the two brands using the results of parts (a) and (b). The centre of the sunmaid brand is much higher than the centre of the generic brand. The variability is roughly the same for both brands. The centre of the sunmaid brand is much lower than the centre of the generic brand. The variability is roughly the same for both brands. The centre are roughly the same. There appears to be more variation in the number of sunmaid raisins than in the number of generic brands raisins. The centre are roughly the same. There appears to be less variation in the number of sunmaidExplanation / Answer
a. Compute the mean as follows:
25+27+...+26/14=26.21raisins
Obtain standard deviation as follows:
Sqrt(1/14{25-26.21)^2+{27-26.21)^2+...+(24-26.21)^2}=1.528 raisins.
b. Follow the same steps to calculate mean and standard deviations for Sunmaid raisins.
Mean:25.929 raisins
SD=2.814
C. The centers are roughly same. There appears to be more variation in the number of Sunmaid raisins than the number of generic brands.
[The mean are same but standard deviations of Sunmaid raisins are higher than generic brand. This defends the answer as standard deviation count sfrom th edistance of each number from th emean. So higher the value , more the variations.
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