Scores for a common standardized college aptitude test are normally distributed with a mean of 496...

Scores for a common standardized college aptitude test are normally distributed with a mean of 496 and a standard deviation of 101. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect.

If 1 of the men is randomly selected, find the probability that his score is at least 547.1.
P(X > 547.1) =
(Enter your answer as a number accurate to 4 decimal places)

If 10 of the men are randomly selected, find the probability that their mean score is at least 547.1.
P(¯¯¯XX¯ > 547.1) =
(Enter your answer as a number accurate to 4 decimal places)

Expert Solution

Find these probability using standard normal distribution table

1) P(X>547.1)=0.3050

2) when 10 mens sample taken

P(X bar>547.1)=0.0838

Solution file is attached go through it

Thanks

orchestra answered 2 years ago

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