The following sample was obtained from a population with unknown param

Coroware

Coroware

Answered question

2021-12-01

The sample that follows was taken from a population whose parameters were unknown. Scores: 13, 7, 6, 12, 0, 4 a. The sample mean and standard deviation should be calculated. (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.)

Answer & Explanation

Clis1955

Clis1955

Beginner2021-12-02Added 9 answers

Step 1 
a) It is possible to compute the sample mean and sample standard deviation as follows:
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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