00:01
In this problem, it is said that the manufacturer of a refrigerator system produces refrigerators that are supposed to maintain a true mean temperature of 45 degrees fahrenheit.
00:10
Now, the owner of the brewery does not agree with the refrigerator manufacturer and claims that he can prove that the true mean temperature is incorrect.
00:17
Now, if we assume that a hypothesis test of the given claim will be conducted, then we need to identify the type 1 error for the test.
00:24
So, for that purpose, first of all, let's determine the null hypothesis and the alternative hypothesis.
00:29
So, here it is said that the manufacturer claims that the true mean temperature is 45 degrees fahrenheit.
00:35
So, the claim is that the mean mu is equal to 45.
00:39
And let's consider the opposite of this.
00:42
So, instead of mu is equal to 45, we have that mu is not equal to 45.
00:47
Now recall that we must have an equal sign in the null hypothesis...