Note: For any part below, if it cannot be answered, enter NA. A quality control company was hired to study the length of meter sticks produced by a certain company. The team carefully measured the length of many many meter sticks, and the distribution seems to be slightly skewed to the right with a mean of 99.88 cm and a standard deviation of 0.15 cm. a) What is the probability of finding a meter stick with a length of more than 100.05 cm? b) What is the probability of finding a group of 22 meter sticks with a mean length of less than 99.86 cm? c) What is the probability of finding a group of 18 meter sticks with a mean length of more than 99.91 cm? d) What is the probability of finding a group of 40 meter sticks with a mean length of between 99.87 and 99.9 cm? e) For a random sample of 48 meter sticks, what mean length would be at the 92nd percentile?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Note: For any part below, if it cannot be answered, enter NA.
A quality control company was hired to study the length of meter sticks produced by a certain
company. The team carefully measured the length of many many meter sticks, and the distribution
seems to be slightly skewed to the right with a mean of 99.88 cm and a standard deviation of 0.15 cm.
a) What is the probability of finding a meter stick with a length of more than 100.05 cm?
b) What is the probability of finding a group of 22 meter sticks with a mean length of less than 99.86 cm?
c) What is the probability of finding a group of 18 meter sticks with a mean length of more than 99.91 cm?
d) What is the probability of finding a group of 40 meter sticks with a mean length of between 99.87 and
99.9 cm?
e) For a random sample of 48 meter sticks, what mean length would be at the 92nd percentile?
[Round your answers to two decimal places.]
Submit Question
hp
#3
$
&
3.
7
个
Transcribed Image Text:Note: For any part below, if it cannot be answered, enter NA. A quality control company was hired to study the length of meter sticks produced by a certain company. The team carefully measured the length of many many meter sticks, and the distribution seems to be slightly skewed to the right with a mean of 99.88 cm and a standard deviation of 0.15 cm. a) What is the probability of finding a meter stick with a length of more than 100.05 cm? b) What is the probability of finding a group of 22 meter sticks with a mean length of less than 99.86 cm? c) What is the probability of finding a group of 18 meter sticks with a mean length of more than 99.91 cm? d) What is the probability of finding a group of 40 meter sticks with a mean length of between 99.87 and 99.9 cm? e) For a random sample of 48 meter sticks, what mean length would be at the 92nd percentile? [Round your answers to two decimal places.] Submit Question hp #3 $ & 3. 7 个
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