All right. The next question is about chicken eggs.

And I went on Google here to inform myself about the average weight of chicken eggs.

I hope I got this right.

I believe it's 47 grams and

I have this eco-friendly farmer here who is concerned about the output of his,

well, it's not really his output, but the output of his chicken.

And he takes a sample, and finds then, that they have basically,

a minimum 47 and a weight of 2 grams.

However, he can only make money on them if they falls into the specification interval

of between 44 and 50.

And so you want to basically do some of the six sigma

calculations that we talked about in class.

Try it out. All right.

The first one is relatively easy, I would argue.

Right? The first one is a capability score.

And remember, the capability score looks at the upper specification

of a limit minus a lower specification limit, which is forty-four.

Divided by six times the standard deviation.

And so, in this case here, it is simply 6 divided by 6 times 2, or just 0.5.

Now, that is a relatively low capability score.

If you just go back through the slide that we discussed in class,

you notice that you're somewhere between 1 sigma and

2 sigma process, and so this corresponds not to a bunch of defects.

And that's what the second question is about.

So what percentage of the eggs fall within the specification limits,

provided by the local distributor?

So, for that I have to leave my PowerPoint quickly and jump into Excel.

And so, what I want to find out is really, I want to find out,

from the normal distribution the upper specification limit is at 50.

All right?

And so, I have a normal distribution with 47 mean, and a 2 standard deviation.

And I'm looking at the cumulative normal here.

And so, I have basically 93.3% of the eggs are below 50 grams.

And so, 1 minus that probability here gives me the probability

that this egg is going to be too heavy, so 6% of the cases.

As far as the probability that this egg is too light is concerned,

I can again look at the normal distribution.

And I can look at the scenario that I have a 44 in that

normal distribution was 47 mean and choose as a standard deviation.