00:01
All right, so in the given question, we have to conduct a hypothesis test.
00:06
So our null hypothesis here is that population average is 100.
00:12
And the alternative hypothesis is that population average is different from 100.
00:18
So this is a two -tailed hypothesis test, right? okay.
00:24
So the size of the sample here is 21.
00:26
The sample mean is 105 .8.
00:30
And sample standard deviation is 9 .1.
00:34
So we will be using the t test because we don't know the test at, sorry, the population standard deviation, right? so the test statistic value will be computed by the formula, that is sample mean minus population mean, divided by standard deviation upon square root of sample size, right? this will be 105 .8 minus 100 ,000, divided by 9 .5 .5 .5 .5 .5 .5 .5 .5.
01:01
1 upon 2 square root of 21 right so the test statistic value here is 2 .92 all right now in the next part we have to come determine the critical value so the critical value here this corresponds to the value of t alpha by 2 for the given degrees of freedom right so the degrees of freedom here is 21 minus 1 that is 20 alpha here is alpha is provided to us as 0 .01...