A population variable has a distribution with a mean of $\mu$ = 50 and a variance of $\sigma$² = 225.From this population a simple random sample of n observations is to be selected and the mean of the sample values calculated.If the population variable is known to be Normally distributed and the sample size used is to be n = 16,what is the probability that the sample mean will be between 48.35 and 55.74,that is,P(48.35 $\le$ $\le$ 55.74)? A)0.393 B)0.607 C)0.937 D)0.330 E)Not within ± 0.010 of any of the above

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The Answer of A population variable has a distribution with a mean of $\mu$ = 50 and a variance of $\sigma$² = 225.From this population a simple random sample of n observations is to be selected and the mean of the sample values calculated.If the population variable is known to be Normally distributed and the sample size used is to be n = 16,what is the probability that the sample mean will be between 48.35 and 55.74,that is,P(48.35 $\le$ $\le$ 55.74)? A)0.393 B)0.607 C)0.937 D)0.330 E)Not within ± 0.010 of any of the above

A Population Variable Has a Distribution with a Mean Of \mu