5

When using Z- distribution, what is the Zc critical value forc=90% for constructing the confidence interval?...

Question

When using Z- distribution, what is the Zc critical value forc=90% for constructing the confidence interval?

When using Z- distribution, what is the Zc critical value for c=90% for constructing the confidence interval?



Answers

Find the critical value $z_{c}$ necessary to construct a confidence interval at the level of confidence c. $c=0.97$

Now, in order to construct the confidence interval off, C is equal to 0.8. We have to find the critical values off. See what will the critical values of Z B. I want my confidence to be 0.8, which means my area in the Tales area. And the tales should be additional. Both of these areas should be 0.2, which means in a single tail. My area should be 0.1 right now. What I'm going to do is I'm going to use an online calculator, right? We're going tohave offline calculators. Or maybe there will be easy tables which will help us. But over here for this demo, I'm going to use an online calculator. Now I want to find critical value for Z. Now I have to enter the significance level for one tail. If I see here entails, I want my area to 0.2, which means in a single tale I want my area to 0.1. So if I find the critical value over here, if I input this as 0.1, what is going to be my Ziva Domizzi value is turning out to be 1.282 So what are going to be my critical values? This is going to be 1.282 and this is going to be minus 1.282 These are my answers.

Now I want my confidence Interval to B C is equal to 0.75 which means worked. This is my normal distribution. Let these be my critical values. One minus 0.75 which is zero point to fight. I want the area in my tails to add up to 0.25 Okay, which means the area in one tail is going to be what? Half off? 0.25 which is 0.1 to fight. Why is it going to be half? Because this is symmetric around zero this midpoint over a year zero. And this is symmetric around zero, right? A normal distribution. A standard normal distribution is symmetric around zero. So I'm going to take the help off an online calculator. I put my Alfa a zero point 125 on. I can see my critical value here as one point 1503 So this is my critical value. One point it is 1.15031 503 And this is going to be minus 1.15 03

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

Now. This time I want my C to be equal toe 0.8 fight. I want the sea. That is my confidence level to be equal toe 85%. What does this mean? Let's say that this is my normal distribution. Okay? This is my normal distribution. And these are my critical values. I want to find these critical values. This is symmetric around the center. And what is my center? William? This value is zero. So this is symmetric around the center. Now, my confidence level is 85% which means that the area and the tales is going to be one minus 0.85 which is 0.15 So the addition of both of these shaded regions is 0.15 And since this is symmetric around the center, the area in one of these tales is going to be, what, 0.75 Now I want to find the critical value. This particular value and magnitude off both of these values is going to be the same because of the cemetery. So what I do is I will just take the help off a critical value calculator over here. And you see that over here I have inserted the value that I want. Now, this is going to be a single tail value. What is the single tail value? I want the area and my single tale to be 0.75 So I just put that value over here 0.75 And the answer that I get is 1.4395 So this is going to be 1.4395 And this is going to be minus 1.4395 Right, Because the area in both the tails is the same. So because of symmetry, this is going to be minus 1.4395 This critical value will be 1.4395 and these are my answers.


Similar Solved Questions

5 answers
DiscussionDuring column chromatography experiment, components of mixture may come out without separation: In this case, which conditions (two or more) should be changed and why?2. Consider the reason why evaporation of eluent should be prevented.
Discussion During column chromatography experiment, components of mixture may come out without separation: In this case, which conditions (two or more) should be changed and why? 2. Consider the reason why evaporation of eluent should be prevented....
5 answers
FS OAZ 1 1 #F 44 2 57+4*+10, 6 1 6 4+0
FS OAZ 1 1 #F 44 2 57+4*+10, 6 1 6 4+0...
5 answers
Refer t0 the (ollowing breakdown of responsessurvey of "Are you concerned about being tracked while connected to the Internet?"BegEonse Veny conce rned Somevhat conce rned conceFrequengy 140What type of chant should be used describe the Irequency table?Muriple CholceAbar chanhislogramTre qucng polygon
Refer t0 the (ollowing breakdown of responses survey of "Are you concerned about being tracked while connected to the Internet?" BegEonse Veny conce rned Somevhat conce rned conce Frequengy 140 What type of chant should be used describe the Irequency table? Muriple Cholce Abar chan hislogr...
5 answers
Write each vector as linear combination of the vectors in S_ (Use 51 and 52, respectively, for the vectors in the set: If not possible enter IMPOSSIBLE:) S = {(6,-7, 8, 6), (4, 6,-4, 1)} (a) (-52, 114,-116, ~67)v =43 -10, 1)W =(-4,-14,22,7 :-2, 3,
Write each vector as linear combination of the vectors in S_ (Use 51 and 52, respectively, for the vectors in the set: If not possible enter IMPOSSIBLE:) S = {(6,-7, 8, 6), (4, 6,-4, 1)} (a) (-52, 114,-116, ~67) v = 43 -10, 1) W = (-4,-14,22, 7 : -2, 3,...
5 answers
Use grammatically correct sentences t0 describe how to calculate the number of H atoms in "z" moles of NH;
Use grammatically correct sentences t0 describe how to calculate the number of H atoms in "z" moles of NH;...
5 answers
1 1 1 1 L L 1 running Ihe 8 dasn I8Providu FenodacSubmit 1 1 Ihu 8 Lp epted OlIt unay 1 1
1 1 1 1 L L 1 running Ihe 8 dasn I8 Providu Fenodac Submit 1 1 Ihu 8 Lp epted OlIt unay 1 1...
5 answers
The type of function that best describes the energy of a hydrogen bond as the distance between the hydrogen atom and the acceptor atom varies between 1.5 and 2.5A,is_1 1 [ [ distance (Al distance (A distance (AJ distance (AJ
The type of function that best describes the energy of a hydrogen bond as the distance between the hydrogen atom and the acceptor atom varies between 1.5 and 2.5A,is_ 1 1 [ [ distance (Al distance (A distance (AJ distance (AJ...
5 answers
Let f(I.y.2) = (3r +by - 24r - V+231+2y _ 2)Find the matrix that represents f and compute f(-1.2.4) using matrix multiplication_
Let f(I.y.2) = (3r +by - 24r - V+231+2y _ 2) Find the matrix that represents f and compute f(-1.2.4) using matrix multiplication_...
5 answers
Color Me CongruentKLAAnalyzethe Agures then mArke congrent segments OM4 snaue the congrent Angla Zo3l Asure matcning calors, See te ExampL Mete:Since this Farallelogram; the posite sides and opposite angles congruent.R8t30/ 94?Aralla_orim"sscele: TrpzjiaRhomlvsFora'eloirav^89kan
Color Me Congruent KLA Analyzethe Agures then mArke congrent segments OM4 snaue the congrent Angla Zo3l Asure matcning calors, See te ExampL Mete: Since this Farallelogram; the posite sides and opposite angles congruent. R8t30/ 94 ?Aralla_orim "sscele: Trpzjia Rhomlvs Fora'eloirav^ 89kan...
5 answers
A drill starts from rest. After 3.20 s of constant angular acceleration, the drill turns at a rate of 2628 rad/s.a. Find the drill's angular acceleration.b. Determine the angle through which the drill rotates during this period.
A drill starts from rest. After 3.20 s of constant angular acceleration, the drill turns at a rate of 2628 rad/s. a. Find the drill's angular acceleration. b. Determine the angle through which the drill rotates during this period....
1 answers
The period $T$ of a simple pendulum as a function of its length $L$ is given by $T=2 \pi \sqrt{L / 9.8} .$ Write $L$ as a function of $T$.
The period $T$ of a simple pendulum as a function of its length $L$ is given by $T=2 \pi \sqrt{L / 9.8} .$ Write $L$ as a function of $T$....
5 answers
Write a nuclear equation for the alpha decay of each nuclide.(a) U-234(b) Th-230(c) Ra-226(d) Rn-222
Write a nuclear equation for the alpha decay of each nuclide. (a) U-234 (b) Th-230 (c) Ra-226 (d) Rn-222...
5 answers
Solve each problem using a system of equations in two variables. Find two numbers whose squares have a sum of 194 and a difference of 144
Solve each problem using a system of equations in two variables. Find two numbers whose squares have a sum of 194 and a difference of 144...
5 answers
Pant Pant: The V V U " scons 8 (Choose one) 1 1 E 1 IQ test L 3 1 test S 1 1 V mcan IQ score that would WcDum "001) OCcU 1 1 WH [n: 1 Dcniucceui 1 1 1 1 1 Il li j
Pant Pant: The V V U " scons 8 (Choose one) 1 1 E 1 IQ test L 3 1 test S 1 1 V mcan IQ score that would WcDum "001) OCcU 1 1 WH [n: 1 Dcniucceui 1 1 1 1 1 Il li j...
1 answers
The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. $6 y-2 x=5 ; \quad 2 y+6 x=1$
The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. $6 y-2 x=5 ; \quad 2 y+6 x=1$...
5 answers
This is the chemical formula for methyl tert-butyl ether (the ean-fuel gasoline dditive MTBE): CH;C 'OC(CH,) ,chemical engineer has determined by measurements that there are [5 moles of hydrogen in sample of methyl tert-butyl ether: How many moles of oxygen are in the sample?Round your answer to 2 significant digits_moiDxo
This is the chemical formula for methyl tert-butyl ether (the ean-fuel gasoline dditive MTBE): CH;C 'OC(CH,) , chemical engineer has determined by measurements that there are [5 moles of hydrogen in sample of methyl tert-butyl ether: How many moles of oxygen are in the sample? Round your answer...
1 answers
$\cdot$ Three odd-shaped blocks of chocolate have the following masses and center-of-mass coordinates: $(1) \quad 0.300$ kg, $(0.200 \mathrm{m}, 0.300 \mathrm{m}) ;$ (2) $0.400 \mathrm{kg}, \quad(0.100 \mathrm{m},-0.400 \mathrm{m})$ (3) $0.200 \mathrm{kg},(-0.300 \mathrm{m}, 0.600 \mathrm{m}) .$ Find the coordinates of the center of mass of the system of three chocolate blocks.
$\cdot$ Three odd-shaped blocks of chocolate have the following masses and center-of-mass coordinates: $(1) \quad 0.300$ kg, $(0.200 \mathrm{m}, 0.300 \mathrm{m}) ;$ (2) $0.400 \mathrm{kg}, \quad(0.100 \mathrm{m},-0.400 \mathrm{m})$ (3) $0.200 \mathrm{kg},(-0.300 \mathrm{m}, 0.600 \mathrm{m}) .$ F...
5 answers
Find the change in the focal length of the eye when an object originally at 2.0 m is brought to 25 cm from the eye_ mmeBook
Find the change in the focal length of the eye when an object originally at 2.0 m is brought to 25 cm from the eye_ mm eBook...

-- 0.066637--