2. You meet four residents of a faraway island with heights 146cm, 151cm, 154cm, and 179cm respectively. Assuming the standard deviation for the heights of all people is 4cm, what is the probability that the average height of all residents of this island is at most 158cm?
2. You meet four residents of a faraway island with heights 146cm, 151cm, 154cm, and 179cm respectively. Assuming the standard deviation for the heights of all people is 4cm, what is the probability that the average height of all residents of this island is at most 158cm?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:2.
You meet four residents of a faraway island with heights 146cm, 151cm, 154cm, and 179cm respectively. Assuming the standard
deviation for the heights of all people is 4cm, what is the probability that the average height of all residents of this island is at most
158cm?
3. Your colleague Chenique was required to collect a sample size of at least 123 Chilean otters for a study about the average tail length of
Chilean otters. The margin of error must be 0.2cm or less. If the standard deviation of the length of all Chilean otters' tails is 1.7cm, what
was the level of confidence (in percent)?
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