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The number of sleep hours for adults is normally distributed with mean 7 hours and standard...

The number of sleep hours for adults is normally distributed with mean 7 hours and standard deviation 1.7 hours.  What is the probability that the mean sleep hours of a random sample of 25 adults is less than 6 hours?

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Answer #1

Solution :

Given that ,

mean = = 7

standard deviation = = 1.7

= / n = 1.7 / 25 = 0.34

P( < 6) = P(( - ) / < (6 - 7) / 0.34)

= P(z < -2.9412)

= 0.0016

Probability = 0.0016

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