Answer:
95% confidence interval for the mean amount of time that students study per week is [5.57 , 7.91].
Step-by-step explanation:
We are given with the following data in hours;
4.4, 5.2, 6.4, 6.8, 7.1, 7.3, 8.3, 8.4
So, the pivotal quantity for 95% confidence interval for the mean amount of time that students study per week is given by;
P.Q. = ~
where, = = = 6.74
s = sample standard deviation = = 1.4
n = sample of values = 8
= population mean
So, 95% confidence interval for the population mean, is ;
P(-2.365 < < 2.365) = 0.95
P(-2.365 < < 2.365) = 0.95
P( < < ) = 0.95
P( < < ) = 0.95
95% confidence interval for = [ , ]
= [ , ]
= [5.57 , 7.91]
Therefore, 95% confidence interval for the mean amount of time that students study per week is [5.57 , 7.91].