Answer:
a
The number is [tex]= 10[/tex]
b
The sample mean is = 3.2
The population mean is = 3
The sample mean is greater than population mean
Step-by-step explanation:
From the question we can see that the number of technicians is [tex]n=5[/tex]
Generally we can obtain the number of sample without replacement of size two that is possible using this formula
[tex]^n C_r[/tex]
This denote Combination which is mathematically represented as
[tex]= \frac{n!}{r!(n-r)!}[/tex] where ! denotes factorial
So substituting 5 for n and 2 for r
No of samples without replacement of size 2 [tex]= \frac{5!}{2!(5-2)!}[/tex]
[tex]= 10[/tex]
The sample mean of the 10 samples are shown on the first uploaded image
The population means is mathematically evaluated as [tex]\frac{2+ 1+3 + 5+ 4}{5} = 3[/tex]
From the calculation on the on the table for sample mean and the population mean calculation we see that
the sample mean is greater than population mean
