All right, and it's moved to question 1 84 Um, so in this question, our sample size can is equal to 80. The now hypothesis ISS, the population mean is equal Teoh 200. And if we use me to represent the population mean it ISS equipment and to say our no hypothesis is is mu equaled Teoh 200. All right, part be the alternative hypothesis ISS population mean is different from 200. Or we can just employees say our mute is now equal to 200. All right, um parte see, what's the value for Alfa? You hear our alphas? He co two Thera playing there a one because we're interested in on Thea Aeroplane there a one level of significance. All right, parte de, what's the is that value for Alfa divided by two? So here it is, the critical value off Seth for the to tout situation as we desired. So we can go Teoh table for four b and find the corresponding Call him for the, um, Alfa Value. Which is there a point there? What? And we will have the critical value equaled Teoh 2.58 Okay, in part B What is the value from you May sound the null hypothesis is so, as we said in part a, our mu is 200. All right, on, then. What is a value for ex parte here? Export is how a simple mean And according to the question, our simple mean is equal to 205. All right, and, uh uh, this standard deviation, which is sick a lot. Yes, he called to 15. It is given in a question and, uh, cart age ciccolo off export. Or so it is a standard arrow off the mean and it is equal to speak a lot of item by square root off school which is 15 divided by a squared off 80 and IHS, he could chew one point 68 All right. And we need to calculate the past a statistic that star. So according to the formula that star is, you go to your ex four minus the hypothesized value for you over sick. A lot divided by square enough. And and here the denominator is also he quote Teoh seeking law export, which is the center arrow for the mean all right way won't just plug in the numbers, Um, using the original formula. So the simple me is to go five minus 200. Go far 15 divided by a squared. Rode off Katie. And what we have, IHS two point 98 So this is ours. Test a statistic. Oh, here, we need Teoh. Make the decision. Can We've already have the value for the Zet off Gulf over to it as you go to 2.58 And we also have our test, a statistic that star is equal to 2.98 So to make the comparison between though and we found power is that star is greater than the that alfa over to you. Which means Oh, where is that star falls into the critical region. So we're going Teoh reject. Well, no hypothesis. All right. And if we draw a curve, Um imagine the critical value. Sad elf over two is here. And then as he go to 2.58 here we have the negative one negative 2.58 And the area for this How in this towel they ended up together is equal Teoh health, which is their applying? There are one, but our test of statistics that star and somewhere here and as 2.98 So obviously, um, can't falls into the critical ranging. So we're going Teoh reject the null hypothesis.