Hi. So today we'll be going over. Mr. Arness is cabin s O. She lives in Colorado. The thermostats she sets the thermostat, the 50 F 50 F. Right here. 50 F. Okay. And then the fat thumb The fat oven table shows a distribution that looks like that. And in this case, the graph kind of shifts towards the right. Right? There's more on the left side. Right? There's more on the left side, but it trails. It gets skin year. Put the right. And so if you can imagine if you place the skier if you place the skier, scare always goes down. And so, if you place a skier at the top of the hill right here placed our little skier right here, right? Which way would the skier go down? And in this case, to go to the right. And so this distribution is right. Skewed. Right. That's what we call a rights. You'd distribution. Um, another case if it kind of if it resembles the shape like this. If you put you're skier on here, right here, then this year to go to the left. And so this is left skewed came now let's go. It's the second point. So the manufacturer claims that one standard deviation is 3 F. Manufacturer claims that the standard deviations 3 F when you look at what's given to you in the problem and says that the variance from the actual sample so the S squared X is equal to 25 and variants very answer year variants s squared X is equal to the standard deviation squared. And so if you take 25 right, you want to get the standard deviation of the rial. They're the thermostat, and so you'll take 25 plus the square Dax. And in this equation that is equal to standard deviation squared. So let's see him. If you want to get just just standard deviation alone, just want to get it alone. You have to square root this you square both sides and you actually see that their thermostat ah is actually the standard deviation. Actually, five. And so the manufacturers claim of the thermostat being on Lee. Three degrees went right. One standard deviation three degrees is actually false. This one is the rial. Ah, manufacturer. Yeah, the pen doesn't work. This is the rial manufacturer. Ah, number here. And so in this case, we can see that the manufacturer was actually false, right? His claim was false or their claim was false. And so, if this for example, the variance was lower than in this case, nine right? If the variance was lower than nine is lower than nine. If if it was nine, then once the interview Shin will be three. And so in this case, the claim will be true. And so for the manufacturers claim to be right, the variance that ms uh, what's the starkness? Should have got an should have been e less than or equal to nine. And so since it was greater right here since I was a greater we see at the manufacturers claim appears to be false.