The Acme Company manufactures widgets. The distribution of widget weights is bel
ID: 2923987 • Letter: T
Question
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 52 ounces and a standard deviation of 9 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 43 and 79 ounces? c) What percentage of the widget weights lie below 70? Points possible: 2 and 1% 1% License This is attempt 1 of 3.Explanation / Answer
as from epirical formula 99.7% values are 3 std deviation from mean
a) 99.7% of the widget weights lie between (52-9*3=) 25 and (52+9*3=) 79
b) AS 43 is one std deviation below mean and 79 std deviation above mean; therefore % of widget lie between 43 and 79 =99.7-34=65.7 %
c) as 70 lies at 2 std deviation above mean therefore
percent below 70 =97.5%
(please revert for above are from empirical formula)
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