00:01
In this case, they tell us that as a counselor in a state prison, you are randomly selected 36 inmates.
00:06
So that's the size of the sample we're selecting n.
00:09
With diagnosed mental illness, to test if the inmates are likely to conform to prison rules compared to the 850 inmates overall.
00:19
So we are against the proposed new policy that places higher security in those with a mental illness.
00:26
So if the find is supported suspicions, then we'll take some measures.
00:31
So here they say that you administer a survey that measures the attitudes to our opposition to institutional rules.
00:38
The scale goes from 1 to 100 and with higher values indicating opposition.
00:45
For the whole prison, the mean is 46.
00:49
That's for the whole prison.
00:50
That's mu.
00:52
And those with mental illness, they scored 38.
00:55
The sample that we picked, that's the mean x.
00:58
On the scale with a standard deviation of the sample of x.
01:03
That would be s x.
01:05
So now in conducting a significant test with alpha 0 .05, what is our critical score? the critical score is the score above which we would reject the no hypothesis or we would accept a no hypothesis.
01:21
So the critical score depends on the significance level.
01:25
In this case, the first thing we should do is build hypotheses...