Below is the PSPP analysis for ages (in years) of all 50 heads of households in...

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Below is the PSPP analysis for ages (in years) of all 50 headsof households in a small Nova Scotian fishing village. Refer to thePSPP outputs below and answer the related questions.
Variable N Mean Std Dev Minimum Maximum
Age 50 47.18 14.89 23.00 81.00

a) Interpret the standard deviation of age in the context of thisstudy.
b) Suppose that we take a random sample of 36 heads ofhouseholds. What would the sample data distribution tend toresemble more closely â€“ the sampling distribution or the populationdistribution? Briefly Explain.
c) What do you expect for the mean of sample means in the longrun of repeated samples of size 36?
d) What do you expect for the standard deviation of sample meansin the long run of repeated samples of size 36? Show your work.
e) Explain the difference between a sample data distribution andthe sampling distribution of sample mean.
f) Suppose that for a random sample of heads of households, weget a mean of 44.22, and standard deviation of 14.73. Beforeobserving the sample, find the probability that our sample meanfalls within 2.48 of the population mean. Interpret the result inthe context of this problem.

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aSince the standard deviation of age 1489 is small it tellsus that the ages in years of all 50 heads of households in asmall Nova Scotian fishing village are not much spread out frommean 4718 yearsbThe sample data distribution tend to resemble more See Answer

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Variable	N	Mean	Std Dev	Minimum	Maximum
Age	50	47.18	14.89	23.00	81.00