00:01
All right, this question gives us an excel spreadsheet, and from there, it wants us to compute some confidence intervals.
00:13
So the first part wants us to find the point estimate.
00:18
So the point estimate in this case is x bar, which in this case is just the sum of the all the x values divided by the total number, which is in this case the sum of the x values divided by 150.
00:41
And putting this in excel, we find that our average is 14 minutes.
00:55
So now it wants us to compute the 95 % confidence interval.
01:03
So to do this, we use our formula that our interval is x bar plus or minus our special t value, t star, times our sample standard deviation divided by square root of n.
01:20
We have to use t star because we're not given the population standard deviation.
01:26
And to find t star we take note of the fact that if 0 .95 area is in between the two t values then that means that there's 0 .0 .25 on either tail so t star equals inverse t of the area to the left of t star and 149 is the degrees of freedom.
01:58
So n minus 1.
02:01
And from there, we can plug into our formula.
02:06
14 plus or minus, our t star is 1 .976 times our standard deviation divided by the square rate of our sample size.
02:18
And we can find our sample standard deviation from excel to give us our interval...