The following sample was obtained from a population with unknown param

Coroware 2021-12-01 Answered
The following sample was obtained from a population with unknown parameters. Scores: 13, 7, 6, 12, 0, 4 a. Compute the sample mean and standard deviation. (Note that these are descriptive values that summarize the sample data.) b. Compute the estimated standard error for M. (Note that this is an inferential value that describes how accurately the sample mean represents the unknown population mean.)
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Expert Answer

Clis1955
Answered 2021-12-02 Author has 9 answers
Step 1
a) The sample mean and sample standard deviation can be calculated as:
Mean(x)=Sum of observationsNumber of observations
=13+7+6+12+0+46
=426
x=7
So, s=i=1n(xix)2n1
=(137)2+(77)2+(67)2+(127)2+(07)2(47)261
=10.03
Therefore, the sample mean and standard deviation are 7 and 10.03 respectively.
Step 2
b) The estimated error for the mean is.
SE=sn
=10.036
=4.09
Therefore, the estimated standard error for M is 4.09.
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