00:01
Hey there, welcome to numerade.
00:03
We are asked to find the 95 % confidence interval for the population mean looking at the dog weights.
00:12
So with this, we are going to be writing in the format of the confidence interval equaling.
00:19
Our point estimate, x bar minus plus and minus our margin of error.
00:26
So this is number one over here.
00:28
We are first going to find our so we're actually already giving it to us as 58 ounces and our margin of error here is equals to our z critical value which is 1 .96 times our standard deviation of 5 .3 divided by the square root of our sample size here which is 36.
00:56
Therefore we get a margin of error here of around times 5 .3 divided by 6 given us a margin of error of 1 .7 3 1 to 2 decimal places so 1 .73 so therefore our confidence interval here will be 58 plus and minus 1 .73 all right so with this we have problem 2 finding our confidence interval so we have our confidence intervals so our sample sample proportion equals to be around the 102 out of the 200 so again we are going to be around into two decimal place three decimal places in this case so 102 divided by 200 equals 0 .51 and with this we get a margin of error by taking our z critical value, which is 1 .645 times the square root of our proportion, 0 .51 times .49 divided by 200.
02:36
So what we get here for our margin of error is, let's see what we get square root of .51 times .49 divided by 200.
02:50
Thus, we get a value.
02:54
So this should be not 200.
02:57
This is 600...