00:01
Hello students, in this question first we need to set up our null hypothesis and alternative hypothesis.
00:05
So here, null hypothesis is h mod mu equal to 20 minutes.
00:18
The mean time to treatment for very ill patients has not changed.
00:25
And here, alternative hypothesis is the mean time to treatment for very ill patients has decreased.
00:35
So it is mu less than 20 minutes.
00:38
So now, we will using the formula to calculate the statistic.
00:47
So here, z equal to x bar minus mu by sigma by root n.
00:52
It is equal to 18 .1 minus 20 by 5 by root 36 equal to minus 2 .28.
01:02
So using alpha equal to 0 .05.
01:04
And since this is a one -tailed test.
01:10
So we find the critical z value.
01:20
So here, the critical z value equal to minus 1 .645.
01:39
Since z equal to minus 2 .28 is less than z critical equal to minus 1 .645.
01:53
We reject h naught.
01:55
We reject h naught.
01:58
There is evidence to suggest that the waiting room experiment reduces the mean time to treatment for very ill patients.
02:06
And here, we have to find out the p value.
02:11
So here, the p value look up the z value.
02:14
It is minus 2 .28 in the standard normal distribution.
02:17
Therefore, p of z greater less than minus 2 .28 equal to 0 .0113.
02:27
And for the next part, we have to set up all null hypothesis and alternative hypothesis for the white -blade cell count.
02:37
So here, h naught is the mean white -blade cell count has not changed...