how to find test statistic on ti 84 This is a topic that many people are looking for. passionistsisters.org is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, passionistsisters.org would like to introduce to you How to do the Hypothesis t-test using the TI-84. Following along are instructions in the video below:
Guys welcome to i hate math group in this video. Were going to learn learn how to test the hypotheses using the t test with the calculator lets it so your friend or you are nine. We are at the mall and we see this group of models supermodels and theyre really really tall.
So i go ahead. And i tell you oh wow. Theyre very tall actually theyre taller than me.
And you tell me you know what anytime. I see a supermodel. I know that theyre very tall.
So i go ahead and make a claim and i say my claim is that supermodels have height greater than the mean sixty two point three inches for women from the general population. What this means is that were going to test and figure it out if my claim is right or wrong basically were going to figure it out whos right so lets do it we have the following problem. The height of 12 supermodels were measured their mean is sixty nine point six inches.
And the standard deviation is two point four inches. Were going to test the claim that the supermodels have heights greater than the mean of sixty two point three inches for the general population basically what were going to do were going to get these twelve supermodels we measure each of them then we divide all those measurement by twelve we get this then we do the standard deviation and today. Were going to do the t test and figure out if they are theyre actually theyre the mean is actually greater than the population.
So lets go ahead and do it okay so lets go ahead and set up our test. Now my know is going to be that the mean is equals to sixty two point three remember this one is always equals and then remember my claim. Which is the alternative is that the mean is greater than sixty two point three since this is greater than this is going to be a right tail.
Remember if its less than if a left tail and if its not equal that will be a double tail. So were going to go ahead and use the significant level of point zero. One to test this and all of this data.
I know that n is equal to 12. Because we tested 12 supermodels. The x bar.
This is remember that we got all of them. And we measure them is sixty nine point six. And the standard deviation is two point four.
Okay. So the first step is to go ahead and go to stats. Which is right here and were going to go to test so just go to test.
And remember you have c test or t test. In this case were going to be doing t test which i click enter and c youre going to have data and stats data is used when you have a list that means that they give you a bunch of data and then you grab that list from the calculator in this case. We dont have that so were going to use the function stat because we have already all our data.
So remember the mu was sixty two point three my x bar was equals to sixty nine point six. My else is two point four and my n is equals to 12 a lot of students ask me how do i know. Which.
Which one is who like which one is the claim and which one is the x. But remember the x bar is the one that the problem gives you that they grabbed the people or whatever. The subject was and they were testing.
It the mu is going to be the claim so now in this section. Here youre going to have not equals to less than and greater than remember were doing a right tail so is going to be greater than so i click enter and finally i do calculate by the way if you dont if you do draw is going to give you also the little bell. Were going to go back.
So lets go ahead and do enter and voila perfect look i get the t. Value which is lets write it down 105 37. I get a p value the p value is two point 187 and they look 10 to the negative.
7. That means that this guy is extremely small very very very very small so with this information. Were gonna go ahead and go back to our problem.
Let me do a screenshot and were going to put this in our results and analyze it okay so going back to our problem. We have that the mu is mu equals to sixty two point three and were testing that is greater than sixty two point three remember if the p that we calculated is less than the significant label in this case point zero. One then were going to reject the null well lets see what we got do you remember our calculations.
We got a really small p value. What that means is that because this value is less than point zero one. Im going to reject the null.
But what does that mean that means that i dont want this guy and the claim is actually true we can say that we reject the null when we had a significant level of point zero one there is sufficient evidence that the super models have heights greater than the mean sixty two point three inches for women from the general population. I am only 54. Which does like sixty point four that means im not a supermodel.
But its okay i hope that you have a lot of fun with this problem. Please dont forget to watch our other videos and also thanks so much for learning. .
Thank you for watching all the articles on the topic How to do the Hypothesis t-test using the TI-84. All shares of passionistsisters.org are very good. We hope you are satisfied with the article. For any questions, please leave a comment below. Hopefully you guys support our website even more.