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So we're asked to look at different critical values using T. So the 1st 1 we're gonna do is look at T and then it's going to be 12 comma 0.1 So what you could do is look at typically, it's in the back of the book in appendix, or you can even find any of the resource is this is just typically going to be something that is given to you a table or chart teacher might be able to give to you. So what you need to do is just look at that table and match the critical value. So you're gonna look at 12 and point a one, and you should see that the value on your table should equal 2.68 Okay, so that should be the first critical value and then were asked also find T for 22 and then 0.25 So again, look at that chart. Look at that table. Find 22 1st and the 220.25 and you should get the solution or the answer 0.2 point 07 And then we're also gonna look on the same table for tea when it's 50 and 0.10 and you should get 1.30 for that critical value. And then finally, we're gonna look at T when it's eight and then 0.5 and you should see that it would be a critical value of 3.36 So again, when we're given that, we would look at a table or chart that is given to you and find the first number that is given to us and then the second number and align those to find the critical value.
We're gonna look at the T statistic and find the critical values that associate with each of the specific T guys that were given. So typically, this would be an appendix in the back. Your book, a charge or table or teacher professor might give you one, but all you need to do is look at that and match up with what were given per problems over the 1st 1 We have tea, which is going to be 18 and 180.9. So when you go on there, you would see that we actually need to look for negative t at 18 and 0.10 because in the chart, we're looking for the entire not just the one sided. So we have to find the complement of 10.9 to get toe one, which is 10.1. So that's going to give us negative 1.33 Okay, so that's a critical value for the 1st 1 The 2nd 1 we're gonna have tea at 9.99 So the same thing for this one, we want the compliment. So negative T at nine. And then 90.1 We're just gonna give us negative 2.82 Then the next is T when we're at 35.975 So again, the complement of this one just simply negative t We're gonna keep the 35 then find the compliments of one minus the 10.975 which would give us 0.25 And that's gonna give us negative 2.3 for the critical value. And then our last one that were asked to look at in this chart is T at 14 0.0, 4.98 0.98 So again, we want the complement of that. So we need to find so negative t keep the 14 but we're gonna have one minus 2.98 Which 0.2? It's Give me negative 2.62 Thanks. So again, just a reminder. We're finding the compliments of these, which are going to be one minus the values given on the chart on. Then you'll see the critical values or the native 1.3392 point eight to thinking of 2.3 and negative. 2.62
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We're being asked to find the least common multiple between 14 t squared and five t. To do this, we're gonna write both terms as a product of its primes. Well, I can rewrite 14 as two times seven, and I'll simply bring over my T Square term. Now. Five is a prime number, so this term actually can't be river in any other way. So now, to find the uglies common multiple, we have to include each of the prime factors and any prime factors that occur in both terms. We have to include the greatest amount of them. So let's look at our prime. Factors are first term contains a two, so that needs to be included. And usually I go from Lisa Greatest. My second term contains a five. So we include this. Our first term contains a seven, so that needs to be included. And now they both can click. They both contain teas, so we have to take the greatest amount of them, which is going to be T square. And now we just have to simplify. Well, we have to multiply two times five times seven, which is 70. So are least common. Multiple is going to be 70 t square