Answer:
(22.12, 27.48)
Step-by-step explanation:
Given : Significance level :
Sample size : n= 8 , which is a small sample (n<30), so we use t-test.
Critical values using t-distribution:
Sample mean :
Standard deviation :
The confidence interval for population means is given by :-
i.e.
Hence, the 95% confidence interval, assuming the times are normally distributed.= (22.12, 27.48)
First, draw a diagram to visualize the situation:
As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.
Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:
Therefore, the distance between the points (-5,4) and (8,-3) is: √218.
