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SAT is normally distributed with a mean of 2200 and variance of 1600 what is the...

SAT is normally distributed with a mean of 2200 and variance of 1600

what is the probability that a random sample of 16 will yield a mean score greater then 2185
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Answer #1

Solution :

Given that ,

mean = = 2200

variance = 1600

standard deviation = = 40

n = 16

= 2200 and

= / n = 40 / 16 = 10

P( > 2185) = 1 - P( < 2185)

= 1 - P(( - ) / < (2185 - 2200) / 10)

= 1 - P(z < -1.5)

=1 - 0.0668

= 0.9332

Probability = 0.9332

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