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 100.15 cm and a standard deviation of 0.17 cm. a) What is the probability of finding a meter stick with a length of more than 100.27 cm? b) What is the probability of finding a group of 50 meter sticks with a mean length of less than 100.13 cm? c) What is the probability of finding a group of 40 meter sticks with a mean length of more than 100.18 cm?
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 100.15 cm and a standard deviation of 0.17 cm.
a) What is the
b) What is the probability of finding a group of 50 meter sticks with a mean length of less than 100.13 cm?
c) What is the probability of finding a group of 40 meter sticks with a mean length of more than 100.18 cm?
d) What is the probability of finding a group of 42 meter sticks with a mean length of between 100.14 and 100.16 cm?
e) For a random sample of 46 meter sticks, what mean length would be at the 92nd percentile?
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