SOLUTION: The time taken to complete a statistics final by all students is normally distributed with a mean of 120 minutes and a standard deviation of 10 minutes. a) Find the probability th

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Question 841050: The time taken to complete a statistics final by all students is normally distributed with a mean of 120 minutes and a standard deviation of 10 minutes.
a) Find the probability that a randomly selected sample will take more than 150 minutes to complete the test.
b)Find the probability that the mean time taken to complete the test by a random sample of 16 would be between 122 and 126.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
mean = 120 and sd = 10
Using TI Calculator
a) Find the probability that a randomly selected sample will take more than 150 minutes to complete the test.
normalcdf(150, 9999, 100, 10).
|Note: The 9999 is used as the larger value to be at least 5 standard deviations from the mean.
b)Find the probability that the mean time taken to complete the test by a random sample of 16 would be between 122 and 126.
normalcdf(122, 126, 100,10).
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