(co 4) in a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a sample standard deviation of 3.2 hours. find the 95% confidence interval, assuming the times are normally distributed.
(21.60, 28.00)
(22.12, 27.48)
(22.66, 26.94)
(24.10, 25.50)

(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)

29.5977692753

step-by-step explanation: