a) What is the probability of finding a meter stick with a length of more than 100.06 cm? 0.133 x b) What is the probability of finding a group of 16 meter sticks with a mean length of less than 99.83 cm? 0.274 X c) What is the probability of finding a group of 32 meter sticks with a mean length of more than 99.92 cm? 0.209 X d) What is the probability of finding a group of 38 meter sticks with a mean length of between 99.85 and 99.89 cm? 1.45 X e) For a random sample of 48 meter sticks, what mean length would be at the 92nd percentile?

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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 99.87 cm and a standard deviation of 0.2 cm.
a) What is the probability of finding a meter stick with a length of more than 100.06 cm? 0.133 x
b) What is the probability of finding a group of 16 meter sticks with a mean length of less than 99.83 cm?
0.274 X
c) What is the probability of finding a group of 32 meter sticks with a mean length of more than 99.92 cm?
0.209 X
d) What is the probability of finding a group of 38 meter sticks with a mean length of between 99.85 and
99.89 cm? 1.45 X
e) For a random sample of 48 meter sticks, what mean length would be at the 92nd percentile?
Transcribed Image Text: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 99.87 cm and a standard deviation of 0.2 cm. a) What is the probability of finding a meter stick with a length of more than 100.06 cm? 0.133 x b) What is the probability of finding a group of 16 meter sticks with a mean length of less than 99.83 cm? 0.274 X c) What is the probability of finding a group of 32 meter sticks with a mean length of more than 99.92 cm? 0.209 X d) What is the probability of finding a group of 38 meter sticks with a mean length of between 99.85 and 99.89 cm? 1.45 X e) For a random sample of 48 meter sticks, what mean length would be at the 92nd percentile?
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