NT #3 For each of the following, answer whether the distribution of X is necessarily normally distributed (YES) or not (NO), and briefly explain why. a) X = the sample mean age for random samples of size n = 50 from the population of New Yorkers of non-working age (defined as below 18 or above 64). b) X = the sample mean age for random samples of size n = 10 from the population of New Yorkers of non-working age (defined as below 18 or above 64). c) X = the sample mean age for random samples of size n = 10 from a population of individuals whose ages are known to be normally distributed.

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NT #3
For each of the following, answer whether the distribution of X is necessarily normally distributed (YES) or
not (NO), and briefly explain why.
a) X = the sample mean age for random samples of size n = 50 from the population of New Yorkers of
non-working age (defined as below 18 or above 64).
b) X = the sample mean age for random samples of size n = 10 from the population of New Yorkers of
non-working age (defined as below 18 or above 64).
c) X = the sample mean age for random samples of size n = 10 from a population of individuals whose
ages are known to be normally distributed.
Transcribed Image Text:NT #3 For each of the following, answer whether the distribution of X is necessarily normally distributed (YES) or not (NO), and briefly explain why. a) X = the sample mean age for random samples of size n = 50 from the population of New Yorkers of non-working age (defined as below 18 or above 64). b) X = the sample mean age for random samples of size n = 10 from the population of New Yorkers of non-working age (defined as below 18 or above 64). c) X = the sample mean age for random samples of size n = 10 from a population of individuals whose ages are known to be normally distributed.
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