4 18 ot 30 117 The mean of the distribution of sample meane n The standard devia

Question

4 18 ot 30 117 The mean of the distribution of sample meane n The standard deviation of the distribuion of mple mane Type an indeger or decimal rounded to the neareet ternth an needed) The mean of the dstribution of sample meane (Type an integer or decimal rounded to the neareat tonth an needed) O A With smaller sample sizes (as in part a), the means tand to be furthor apart, so they have more variation, which sults in a smaler standard deviation. On· With smaler-,ple-Cas in parte),the mea d be doser igeter, so they have less varation, which results in a smaller standard driaton. OC. With larger sample sizes (os in part b, the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. OD Weilawr sanete sass easi, part.), m-ndtobe-togeter, sogey have less variation, which results in a snulir standard or. 5

Explanation / Answer

SolutionA:

samplemean=population mean=

mean off the distribution of sample means=95

standard deviation of sample means=standard deviation/sqrt(sample size)

=16/sqrt(49)

=16/7

=2.3

Solutionb:

the mean of the distribution of sample means=95

std deviation of sample=std dev/sqrt(n)

=16/sqrt(100)

=16/10

=1.6

Solutionc:

n=49 in case a

n=100 in case b

increase in sample size increases results in decrease in standard deviation

OPTIOND

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