Question
The following data represent the weights (in grams) of a random sample of 50 candies. 0.97 0.87 0.88 0.83 0.83 0.88 0.95 0.88 0.93 0.91
The following data represent the weights (in grams) of a random sample of 50 candies. 0.97 0.87 0.88 0.83 0.83 0.88 0.95 0.88 0.93 0.91 0.81 0.87 0.78 0.84 0.97 0.81 0.76 0.83 0.73 0.83 0.94 0.78 0.79 0.91 0.81 0.89 0.87 0.84 0.85 0.76 0.96 0.81 0.77 0.77 0.83 0.77 0.83 0.84 0.86 0.79 0.71 0.81 0.71 0.75 0.81 0.81 0.85 0.91 0.93 0.84
(a) Determine the sample standard deviation weight.
S = _____ gram
(Round to two decimal places as needed.)
(b) On the basis of the histogram on the right, comment on the appropriateness of using the empirical rule to make any general
statements about the weights of the candies.
The histogram is not bell-shaped so the empirical rule cannot be used
The histogram is bell-shaped so the empirical rule can be used
(C) Use the Empirical Rule to determine the percentage of candies with weighs between 0.7 and 98 gram
Hint: x= 0.84
_____ %
(D) Determine the actual percentage of candies that weigh between 0.7 and 0.98 gram, Inclusive
(Round to two decimal places as needed.)
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