A random sample with replacement of size 100 is drawn from a population with mean 3.5...

A random sample with replacement of size 100 is drawn from a population with mean 3.5 and standard deviation 3. Use the normal approximation to calculate the probability that the sample average is between 3 and 4. Round your answer to three decimal places.

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Expert Solution

Since the sample size is , n=100 and sistribution is normal hence we use the Z score for probability calculation hence Z at average =3

Now Z at 4

Now here,

= Standard deviation and u= Population mean

Hence By using Z table shown below which is used to calculate the probability of normal distribution

=0.9535-0.0475

=0.905

orchestra answered 10 months ago

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