00:01
So here our no hypothesis will be equal to mean is equal to 16 .4 .3.
00:08
And the alternative is mean is less than 16 .4 .3.
00:14
So we can see this is a left till test.
00:20
So we are given our new not to be equal to 16 .43.
00:24
Our sigma is 0 .8 seconds.
00:27
Our sample size is 15.
00:29
And we are given the sample mean to be equal to 16.
00:33
So now our test statistic will be equal to x bar minus mean.
00:43
So sorry, our test statistic will be equal to the z -stat, which will be x -bar minus mean, net over z -1 and the rate of n.
00:58
Since our zigma is known, so we have 16 minus 16 .43 over 0 .8 .8.
01:08
Over the width of 15.
01:10
So we get z negative negative 0, negative 2 .0813.
01:18
That's our test statistic.
01:20
So our p value will be equal to the probability of said less than our z statistic...