00:01
Hello students, we have given a simple random sample of 60 items.
00:05
So n is equal to 60 and sample mean that is x bar is equal to 20 population standard deviation that is sigma is equal to 20.
00:16
So this is given to us and based on this information, we have to compute 95 % confidence interval for the population mean that means we have given c is equal to 95 % so alpha is equal to 1 minus c which is equal to 1 minus 0 .95 is equal to 0 .05 now by using the significance level z alpha by 2 is equal to 1 .96 this is by using the z table.
00:48
Now to find 95 % confidence interval for population mean that is mu.
00:58
So the formula is x bar plus or minus z alpha by 2 into sigma divided by square root of n.
01:08
So this is the formula for confidence interval.
01:12
Now we have the value of x bar is equal to 20 plus or minus 1 .96 into sigma that is 20 divided by square root of n that is n is equal to 60 square root of 60.
01:29
Now after simplifying this we will get the confidence interval as 14 .94 comma 25 .06 and we have to round it to one decimal places.
01:44
So this is nearly equal to 14 .9 comma 25 .1.
01:50
So this is the required confidence interval...