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A random sample is drawn from a normally distributed population with mean μ = 25 and...

A random sample is drawn from a normally distributed population with mean μ = 25 and standard deviation σ = 1.5.

a. Are the sampling distributions of the sample mean with n = 33 and n = 66 normally distributed?

  • Yes, both the sample means will have a normal distribution.

  • No, both the sample means will not have a normal distribution.

  • No, only the sample mean with n = 33 will have a normal distribution.

  • No, only the sample mean with n = 66 will have a normal distribution.

b. Calculate the probabilities that the sample mean is less than 25.7 for both sample sizes. (Round answers to 4 decimal places.)

n Probability

33

66

Math   Statistics-And-Probability   
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