Respuesta :
Answer:
b
Step-by-step explanation:
We must determine the the x value at 90% confidence interval. We find this from a table relating confidence intervals and x values. For 90%, z is 1.645.
WE must determine the mean of 19 and 23:
[tex]=(19+23)/2=21[/tex]
We must determine the standard deviation. We let n be the number of population which is 2. We need to take the numbers 19 and 23 and subtract each by the mean and square the answer:
[tex](19-2)^2=289[/tex]
[tex](23-2)^2=441[/tex]
We then determine the mean of these two values as:
[tex](289+441)/2=365[/tex]
Now we take the square root of 365:
[tex]\sqrt{365}=19.1[/tex]
The standard deviation is 19.1
The answer is b