Question

I need help with question (d)

T 0.82 The following data represent the weights (in grams) of a random sample of 50 candies. 0.89 0.87 0.87 0.84 0.95 0.81 0.94 0.97 0.75 0.76 0.75 0.78 0.84 0.85 0.82 0.92 0.78 0.72 0.83 0.81 0.82 0.82 0.82 0.87 0.81 0.91 0.78 0.81 0.96 0.72 0.86 0.84 0.86 0.94 0.74 0.82 0.87 0.92 0.89 0.86 0.91 0.85 0.84 0.79 0.77 0.81 0.78 0.87 0.74 (a) Determine the sample standard deviation weight. S= 0.06 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 bell-shaped so the empirical rule can be used. The histogram is not bell-shaped so the empirical rule cannot be used. (c) Use the Empirical Rule to determine the percentage of candies with weights between 0.72 and 0.96 gram. Hint: x=0.84 95% (d) Determine the actual percentage of candies that weigh between 0.72 and 0.96 gram, inclusive. 1%

Answer 1

as instructed by you i am doing d part of the problem.

d)from the given table,

the number of candies that weights between 0.72 and 0.96 gram = 49

[ here, we can find that without 0.97 all the weights of candies in the sample have weights between 0.72 grams and 0.96 grams inclusive]

total number of candies (n) = 50

the actual percentage of candies that weight between 0.72 gram and 0.96 gram inclusive be:-

%

* 100

$=\boldsymbol{\mathbf{98}}$ %

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