00:01
Alright, so here the question is to determine the size of the sample.
00:05
Now for the first part here, we have to, we have a confidence level of 99%.
00:12
So here alpha is 1 minus 0 .99, that is 0 .01.
00:18
And for alpha 0 .01, the critical value is provided to us as 2 .575.
00:23
Right.
00:24
Now here the population standard deviation is 16 .7, right? so the formula and the margin of error.
00:31
Is within 4 points that is 4 right so the formula to compute the sample size is critical value multiplied by the standard deviation divided by the margin of error whole square right so this will be equal to 2 .575 multiplied by 16 .7 upon 4 whole square so let's calculate this one this is multiplied by 16 so this is equal to 115 .57594 that is equal to 116.
01:18
Right.
01:19
In the next part of the question, all the values remain the same.
01:22
Just our confidence level changes to 95%.
01:26
That is, we have reduced the level of confidence...