Question

A population of values has a normal distribution with mean of 50.3 and standard deviation of...

A population of values has a normal distribution with mean of 50.3 and standard deviation of 84.  

Find the probability that from a sample of 226 the sample mean is greater than 49.7.


Enter your answers as numbers accurate to 4 decimal places.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that ,

mean = = 50.3

standard deviation = = 84

n = 226

= 50.3

= / n = 84/ 226 = 5.5876

P( >49.7 ) = 1 - P( <49.7 )

= 1 - P[( - ) / < (49.7 -50.3) / 5.5876]

= 1 - P(z <-0.11 )

Using z table

= 1 - 0.4562

= 0.5438

probability= 0.5438

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