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Question 222 ptsNow; pretend You actually ran the study You came Up with: Make up the results (the values; means and test statistic SDs) and write Up the results aS...

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Question 222 ptsNow; pretend You actually ran the study You came Up with: Make up the results (the values; means and test statistic SDs) and write Up the results aS you would see them in APA style research paperEdit Viewy Insert Format Tools Table12ptParagraph

Question 22 2 pts Now; pretend You actually ran the study You came Up with: Make up the results (the values; means and test statistic SDs) and write Up the results aS you would see them in APA style research paper Edit Viewy Insert Format Tools Table 12pt Paragraph



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Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for
a. independent group means, population standard deviations, and/or variances known
b. independent group means, population standard deviations, and/or variances unknown
c. matched or paired samples
d. single mean
e. two proportions
f. single proportion
A sample of 12 in-state graduate school programs at school A has a mean tuition of $64,000 with a standard deviation of $8,000. At school B, a sample of 16 in-state graduate programs has a mean of $80,000 with a standard deviation of $6,000. On average, are the mean tuitions different?

Hello. My name is in part so today I'll be working with through a statistics problem on hypothesis testing. So this question is asking us to test the claim that the mean is less than 75 bpm. And we've been given that the significance level is your point, you're five. So the first step we're going to take is step one is that We're going to write down our no inattentive hypothesis. So the question is asking that we test the claim that the mean is less than 75 bpm. Sawyer. No hypothesis will be as follows. We're going to have a meal echo two 75 yeah B. P. S. And then our alternative hypothesis H. A. Will be Less than 75. So now these are alternative hypothesis, alternative hypothesis at the bottom and no hypothesis is the first one right here. So not that the alternative hypothesis never has an echo signing. So if the question is asking you to test whether something is less than greater than than the alternative hypothesis is going to have a less than greater than sign. If you never have an ecosystem only the no hypothesis can have an ecosystem. So now that we have our No and alternative hypothesis, we identify our significance level alpha significance level alpha. What is zero point 0.05. Okay, so now that we have our alpha in our hypothesis, we need to figure out what test statistic we're going to please because we need to find the care statistics. So our step to will be two. Find the test statistic are just abbreviated as T. S. So in this case there to test statistics, we can use when sigma is given and when sigma is not given. So in this question, sigma hasn't been given. Only been given the significance level and the 75 bpm. Which is our mu So we're going to use this test statistics, so t is equal to X bar minus new X. Over yes. Over the square it. Huh? Yeah. So this is the test statistic we're going to use right here. Okay, so now we've been told that we should use appendix B for our data. So our data in appendix B is this is our data right here, baby 84 94 74 and 50. So this is the data in appendix B. And So we need to find expert, expert is you mean? So we need to find the mean and then s is our standard deviation and is our sample size and μ X is our 75 here. So when we calculate this using Excel or using a new calculator, you find that your ex bar is I'm going to erase this so that so stand up. So we found that our X bar is going to be 76 0.4. That's our export. And then so let's identify everything we have. So um you X. Is 75. Okay? And then our standard deviation is given, it's not given, we have to calculate it as well. So 16.456 is our standard deviation. And then our in is five Since the three data points here where five of them, so n. is five. So now that we've identified everything that we have here, we have our expert arm U. S. And our end we can go ahead and substitute everything in our formula in order for us to find the test statistic. Okay? So we're going to raise this year top. Okay? And then let's create space here. So we could calculate Our test statistics. So it's gonna be T is equal to how x bar is 76.4 minus our 75 Over our s is 16 point 456 over the square of n. Which is right okay so now when you evaluate this what we're going to get is mr what we're going to get is T. E. Co two 0.190. This is our test statistic. When we evaluate everything we subtract what's what's at the top and then divide by what the value we find at the bottom. So this is our test statistic. So now our next step is to find um the p value. Since the question is asking us to use the P value. So in order to find our P value P. Value we're going to use Excel Microsoft Excel. There's a table that you could use to find the P. Value. But using Softwares like your T. I. 84 or your Excel is going to be easier for you So to find that P value, the function that we're going to use using Excel. The function is T. T. Dist be ready at the bottom here. So the function of B. T discs, this is the name of function when you're going to excel and then you press on fx you search T. This just the way it is and then your X value is going to be your test statistic which is your 0.190 Okay hanging your degrees of freedom. So you find your degrees of freedom by subtracting One from end. So degrees of freedom is N -1. Our n. S. So it's gonna be 5 -1. Which would give us four. Okay? So When plugging in your values you have 0.190 is your ex. For as the degrees of freedom. And this is one tail. It's a one tailed test because there's only less than if the alternative hypothesis had not echo to sign. Then it's a two tailed tests. But in this case it has a less than sign. So it's a one tailed test. So this t dist function when you evaluate this it's going to give you a P value of zero point 42 nine. All right chris So I'm going to read this here so we can continue. So now that we found our P value here, That was your .4- nine. We can make a conclusion. So we know that when the p value is less than alpha we can reject the null hypothesis. But when the p value is greater than alpha, we fail to reject the null hypothesis. So in this case as you can see, okay P is echo two zero point or 29 and then our alpha is zero point zero five. Okay, so since our alpha is your point your five. When you compare the two, we can see that the P values better than alpha. So our conclusion will be this will be our conclusion to raise this and write down on conclusion here. Right? Our conclusion is since right, since P is greater than alpha, we yeah feel two reject a channel which is the no hypothesis. Therefore there is there is not enough evidence. There is not enough evidence we restart. Okay properly, there is not enough evidence to support the clean to support the cream that adult yes females to support the claim. Basically we could just say me racist anti. So all and always say since P is greater than alpha, we failed to reject each number. Hence there is not enough evidence to support the claim that the pulse rate that the post read of adult females is less then 75 ppm. Okay so yeah that's pretty much it. Um I hope you found this video helpful. So first step is identify or know and alternative hypothesis. Second step identify your alpha. Find the test statistic formula that year. To use if you're given sigma you are going to use a different test statistic if you're not given sigma like in this case we use the formula we used and then when you find your test statistic you find the P. Value Using Excel. Using the function T. Dist And then you plug in your degrees of freedom which is N -1. And this is the one to test Europe Evil is your .4- nine. And since P is greater than alpha, our conclusion is we fail to reject each note. If he was less than Alpha than we would, we would reject each note. So I hope you found this helpful. Thank you so much for watching.

Hello. My name is Pat. So today I'll be running you through a statistics problem on hypothesis testing. So the question is asking us to test for a claim whether the mean of pulse rates of adult females is Less than 75 bpm. And we've been given a significant level of zero point your fight. So what's the first thing we're going to do is find write down our hypothesis. Okay, so our hypothesis Will be so step one. Okay. Will be H. which is our no hypothesis will be meal Echo 2 75. Remember the no hypothesis always is an echo sign. While the alternative hypothesis never has an echo signing either has a greater than or a less than sign. So our alternative hypothesis will be Meal less than 75. Which is what we're trying to test whether the pulse rates the mean of the pulse rate has listened to many fine so that's sophisticated. So now I'll second step Um based on whatever situation we have which is in this case our sample size is really huge and we know that when N. Is greater than 30 then we have we can assume normality. So this is in greater than 30. The sample size of this. So this is this sample size of this data set is 300. Okay. And we can see that 300 is greater than 30. So since it's greater than 30 will assume normality. And we're going to use the T statistic. And the other condition is that sigma is unknown. We don't know what sigma is. So we go ahead and use this test test statistic which is X. Bar minus mu Not over yes over the square of and Okay so now Using our data set we've been taught to use Appendix B. Which has 300 data sets of pass routes of adult females. So when we add up all that data and divide by the total number of just 300 to get our mean which has X. Bar. So X bar in this case is going to be neutral line here so we can write our data set. Our expert when we calculate everything will be 71, wait 767 And then our standard deviation is going to be 12 .128. Okay, so this is our standard deviation expert. When you calculate everything is an accelerator, your T. I 84. Yeah. So now we have our immune 2075 and we have our end which is 300. You can go ahead and plug in everything that we have into our formula so that we can find our test statistic. Okay, so let me erase what's at the top so that we can go ahead and find our test statistic here. So our test statistic is this formula right here? So we'll come right here. We're going to have X bar. So Z is equal to Expert which is 71.767 minus mu not which is 75. Okay? And then over Our S which is 12 12.128. Okay? So let's create more space here. All right. So over our S Talk when 1-8 divided by the square root of 300. Okay? So this when we calculated is going to give us negative four point 617 Okay? So this is what it's gonna give us negative 4.1 -4.617. Sorry? Okay. So now that we found our test statistic, we can go ahead and find our p value. So our peer value is the area that we use. So we find the area by using we could use Excel. So using Excel Excel. This is the function you're going to use. You're going to use norm. Dist of you have your number. So you don't You just plug in your number which is -4.617. Okay. And then once you plug in that into your cell you're going to get zero point 00 It's just six decimal places. So 123 456. So 195 As you can see this is a really small number. Really, really small number. So the decision here now we can decide whether to reject the null hypothesis or to not reject the null hypothesis. So the conditions for this is that we can only reject each note when the pier value is less than alpha. Okay, so let's find out whether we can reject or not rejected. So our alpha woods Or is 0.05 and then our p value is this cigarette here. Okay. Yeah, I'm not gonna write it down because it's really big. But yeah, it's right here. So we could tell that the pure value is definitely less than our alpha. So in our conclusion is going to be since P. So since he is less than alpha, we reject H. Nine. Okay, so that is going to be our conclusion. Since pays less than alpha. We reject H not if he was greater than alpha, we were going to fail to retract H. Not. So our full conclusion is since he is less than alpha, we reject H not. What does that mean? That means there is sufficient evidence that The mean of adult female pulse rates is less than 75 bpm. So in this case we're accepting the alternative hypothesis and rejecting the hypothesis. All right, So that's the end of this problem. Thank you for watching. I hope you found this helpful. Thank you so much. Have a great day.


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