The following data represent the weights (in grams) of a random sample of 50 can

Question

The following data represent the weights (in grams) of a random sample of 50 candies. (a) Determine the sample standard deviation weight. s = 0.07 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 weights between 0.7 and 0.98 gram. (d) Determine the actual percentage of candies that weigh between 0.7 and 0.98 gram, inclusive.

Explanation / Answer

a) Sample Standard deviation will be 007

b) OptionB is Correct

c) Now 0.7 and 0.98 are lies two standard deviation away from the mean because 0.84-2*0.07 = 0.70 and 0.98 = 0.84+2*0.07

so by empirical rule 95% of data will lies in this inteval

d) All of data will lies in this interval So, actual percentage is 100%

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