00:01
In this question, we have been given h naught such as mu is greater than equals to 3 and h a that is alternate hypothesis such as mu is less than 3.
00:16
Now from the given data, we can compute x bar as equals to 2 .92 and population and standard deviation that is sigma equals to 0 .1676 and sample size given as n equals to 36, alpha that is equals to 0 .05.
00:40
Now in this case, test statistics we can calculate here since n value is greater than 30, we will use here g test.
00:47
So from this, we can calculate the g test as equals to, we can write here g equals to x bar minus mu by sigma by divided by under root n.
01:00
Now from this, we can calculate as equals to 2 .92 minus 3 whole divided by sigma value as 0 .1676 divided by under root n value given as 36.
01:17
Now from this, we get the g value as equals to minus 2 .8689.
01:25
Now test a statistic that is g value which we have got right now as g equals to minus 2 .8689...