Tucker Wilson
06/07/2023 · Junior High School

Note: For any part below, if it cannot be answered, enter DNE. Read the directions carefully and pay attention to the different sample sizes. In this problem, round to 4 decimal places. 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 99.93 cm and a standard deviation of 0.16 cm . a) What is the probability of finding a meter stick with a length of more than 100.04 cm ? b) What is the probability of finding a group of 30 meter sticks with a mean length of less than 99.91 cm ? c) What is the probability of finding a group of 36 meter sticks with a mean length of more than 99.96 cm ? d) What is the probability of finding a group of 44 meter sticks with a mean length of between 99.92 and 99.95 cm ? e) For a random sample of 42 meter sticks, what mean length would be at the 92 nd percentile? > Next Question

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a) The probability of finding a meter stick with a length of more than 100.04 cm is approximately 0.2483. b) The probability of finding a group of 30 meter sticks with a mean length of less than 99.91 cm is approximately 0.4522. c) The probability of finding a group of 36 meter sticks with a mean length of more than 99.96 cm is approximately 0.4256. d) The probability of finding a group of 44 meter sticks with a mean length between 99.92 and 99.95 cm is approximately 0.1022.

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