Question

In: Statistics and Probability

A random sample is drawn from a population with mean μ = 70 and standard deviation...

A random sample is drawn from a population with mean μ = 70 and standard deviation σ = 5.8. [You may find it useful to reference the z table.]

a. Is the sampling distribution of the sample mean with n = 17 and n = 43 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 = 17 will have a normal distribution.

No, only the sample mean with n = 43 will have a normal distribution

Expert Solution

Solution :

Given that,

mean = = 70

standard deviation = = 5.8

a) n = 17

= = 70

= / n = 5.8 / 17 = 1.41

n = 43

= = 70

= / n = 5.8 / 43 = 0.88

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

orchestra answered 2 years ago

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