a. What is the probability that a shoe weighs more than 13 ounces? Ans: Blank 1 b. What must the standard deviation of weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces? Ans = Blank 2 ounce c. If the standard deviation remains at 0.5 ounce, what must the mean weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces? Ans = Blank 3 ounces

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Final answers should be either in lowest-term Fraction or up to 4 decimal places only. For even smaller numbers, round off to the nearest non-zero digit.

The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5
ounce.
a. What is the probability that a shoe weighs more than 13 ounces? Ans: Blank 1
b. What must the standard deviation of weight be in order for the company to state that 99.9% of its shoes are less than 13
ounces? Ans = Blank 2 ounce
c. If the standard deviation remains at 0.5 ounce, what must the mean weight be in order for the company to state that
99.9% of its shoes are less than 13 ounces? Ans = Blank 3 ounces
Transcribed Image Text:The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5 ounce. a. What is the probability that a shoe weighs more than 13 ounces? Ans: Blank 1 b. What must the standard deviation of weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces? Ans = Blank 2 ounce c. If the standard deviation remains at 0.5 ounce, what must the mean weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces? Ans = Blank 3 ounces
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