00:01
Hey there, welcome to numerate.
00:03
So we have an average weight of products that is 150 grams and we are given that the population is shaped normally, but the population variance is unknown and so we have 16 products and the mean of those 16s 145 grams and the standard deviation is 4 grams.
00:21
We had tested hypothesis that the mean weight is different from 150 grams.
00:27
So we're going to state with our null hypothesis.
00:30
An alternative hypothesis.
00:35
For a null, it is 150 grams, so mu equals 150, mu is the population mean, and our alternative will not equal 150 grams, okay? so we're going to use a z distribution, a z test, since we're given a population is normal.
00:55
So we're going to plug in our values here.
00:58
We have 145 for our mean.
01:01
Let's attract that to our 150 and then we divided by our standard deviation here...