00:01
In the asked question, a 2010 article in vitality magazine reported that the mean amount of leisure time per week for american men is 40 hours or more.
00:11
This is the report.
00:16
The mean is 40 hours or more.
00:27
You believe this figure is too large and decided to conduct your own test.
00:32
In a random sample of 60 men, you find that the mean is 37 .8 hours of leisure time per week.
00:42
The sample mean is 37 .8 hour and that the standard deviation of the sample is 12 .2 hours.
00:56
The sample standard deviation is 12 .2 hour.
01:05
We have a question that says that, can you conclude that the information in the article is untrue using the 0 .05 significance level? here, alpha is 0 .05.
01:20
The first step here is to define a test.
01:24
With appropriate null and alternative hypothesis.
01:29
We define the null hypothesis to be the original report because this is our past experience.
01:39
Mue is greater than equals 40 hour and the alternate hypothesis is going to be the claim that we want to provide an evidence for.
01:49
We see this is too large then we want to provide that new is smaller than 40 using alpha equals 0 .05.
02:03
This is hypothesis...