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1ptsQuestion 12such that 0.95 (or 95%) area lies between and a. This a is called Find the z score 95% confidence number later in Chapter 8 in Hawkes In fact; you ca...

Question

1ptsQuestion 12such that 0.95 (or 95%) area lies between and a. This a is called Find the z score 95% confidence number later in Chapter 8 in Hawkes In fact; you can see this answer in Critical Table when you click Tables in Hawkes. Hint: Suppose your answer is-1.64or 1.64,enter positive score 1.64

1pts Question 12 such that 0.95 (or 95%) area lies between and a. This a is called Find the z score 95% confidence number later in Chapter 8 in Hawkes In fact; you can see this answer in Critical Table when you click Tables in Hawkes. Hint: Suppose your answer is-1.64or 1.64,enter positive score 1.64



Answers

Find the indicated z-score. Find the $z$ -score for which $99 \%$ of the distribution's area lies between $-z$ and $z$.

Welcome to this lesson. This lesson. We're looking at one sided confidential interval for this disease. Called for For one sided confidence interval of 90%. So where this one we Look at 90% from the table, we have 90% here. Yeah. Okay. Almost that Which is 1.2 And there are .09 from that. So it becomes 1.29. 1.29. Okay. The second part we are looking at yeah, confidence level of 95%. So this call Therefore become 5%,, 0.05, 90% to the left, Then 2 5% to the left. So 95 we have 94.4 here. Mm So there's almost 95 which corresponds to 1.64. So 1.6 is here, then they opened therefore is also there. That makes it 1.64. The last one. All lives. We are looking at a 99%. Okay, confidence level. So the disease culture, is there one just one 99% to the left of the total calf, The normal under the normal curve. So 99%. I didn't say anything. It's almost 99. Uh this is a little about 1990. So for believe. Mhm. Let's go here. Mhm. And that is two sorry about their 0.03. So that makes it 2.33. So 2.33. Okay, thanks for the time. This is the end of the lesson. Okay,

Hello. Welcome to this lesson. In this lesson. We are looking at Does this call? Yeah. This one is often Mhm. Okay, mm. That means we'll go straight to the table. We will know the half of the effort to the confidential table. We're looking at 90 Which is 0.9 and 0.9 is around here which is one two nine. Yeah. Yeah. It's 1.2. Then play 009. Okay. The next one that we are looking for is Z. So this one is this alpha? It's no iphone too. We have a confidence interval, Confidence level of uh confidence interval of 95%. So we go straight to 0.95 which is around the side. So we have 1.65. Yeah, That is 1.65 lesbian. Elise. We look for C Its core. Mhm. For alpha. Which is the point 0 1. 1%. And now we have 99, 99 is around Yeah. Which is 2.3. Yeah. and Joe Coin 3 3. So that makes it 2.33. All right, Thanks for your time. This is the end of the lesson.

I want to find the value off Z l fa by two. What is the confidence level that is given to me? 99%. Which means that the area in these two bars area between these two bars has to be 99%. So the area and these tales in these shaded regions will actually be 0.10 point 01 So this becomes my Alfa. So what will be alphabet to Alfa by two will become 0.5 So what is the value of Z alkali to in this case? This will turn out to be 2.5758 2.575 eight. Or let us just check this one's personal. Okay, so I'm using an online calculator for this and over here. Okay, Yes. The value is turning out to be for zero point. Zito, Zito five This turns out to be 0.32 point 55 Yes, this is the correct answer. This is our answer

So the nice thing about the normal distribution is that everything is symmetric around zero. So all of our Z scores live along this number line down here and then we have the area under the curve is all of our probabilities and all the probabilities have toe add up to 100%. So the area under the curve adds up to one. So if we're looking for Z values and we want the area, the amount in between them to be 12% or 120.12 we're looking for here is a negative Z value and then a positive Z value here the negative because it's on the left of zero the positive because it's to the right of zero. Now, since everything has to add up Thio 100% we know that the rest of the area has to add up to the 0.88 because that's 100% minus the 12% we already have, because the 12% is going to be this area in between in here, So each of these guys is going to be 0.44 and this is 0.44 and you can always verify you can add up the 0.44 the 0.1 to the 0.44 You will in fact get 100% or one. So if we look at our Z table and it depends on your Z table in particular, you will have values here and then they're they're remaining decimals here. And then we have areas here or probability area under the curve. So we look at all the areas listed here and we determine okay, which one is closest to the value we're looking for? In this case, if you're Z table reads that you're going from left to right and it it captures area from left to right on, we won't want this one right here. We would want to look at this 0.44 So let's hear you fine. 0.44 inside the Z table Z table. So then we want to find its corresponding Z score. And when we look at the Z table, we do in fact, find that this Z score is negative 0.15 And the beautiful thing about normal distribution is that everything is symmetric around zero. And since 12% is actually a pretty small percentage toe have in between two Z scores. It makes sense that these two values are really, really close to zero. So you wanna make sure that your answer makes sense and you want to make sure that you find the correct corresponding Z scores based on the probabilities based on the area under the curve that you found in our case, we had this 0.44% or excuse me 0.44 or 44%. That was our That was the area that we were looking for. The corresponding Z score, okay?


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