On average, survivors in the greater Cheney area have a readiness to kill walker

Question

On average, survivors in the greater Cheney area have a readiness to kill walkers (R2KW) score of 6.7 on a scale of 1-10 (with one as low and 10 as high) with a standard deviation of 1.3. During an orientation to the Cheney Compound workshop, new members are presented with two different workshops focused on killing walkers. Workshop A has 23 participants and is focused only on killing walkers. After the workshop, the average R2KW scores is 7.6. Workshop B has 48 students and after a workshop focused on killing walkers and evading hoards, the average R2KW scores of these students is 7.

1) For workshop A, what is the standard error of the mean?

2) For workshop B, what is the standard error of the mean?

3) What is the sample z score for workshop A?

4) What is the sample z score for workshop B?

Explanation / Answer

1) For workshop A, what is the standard error of the mean?
Standard Error= sd/ Sqrt(n)
Where,
sd = Standard Deviation
n = Sample Size
Standard deviation( sd )=1.3
Sample Size(n)=23
Standard Error = ( 1.3/ Sqrt ( 23) )
= 0.27
2) For workshop B, what is the standard error of the mean?
Standard Error= sd/ Sqrt(n)
Where,
sd = Standard Deviation
n = Sample Size
Standard deviation( sd )=1.3
Sample Size(n)=48
Standard Error = ( 1.3/ Sqrt ( 48) )
= 0.19
3) What is the sample z score for workshop A?
P(X = 7.6) = (7.6-6.7)/1.3
Z = 0.9/1.3= 0.6923
4) What is the sample z score for workshop B?
P(X = 7) = (7-6.7)/1.3
= 0.3/1.3= 0.2308

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