4. (Normal Distribution)Setup:Define za to be a z-score with an area ofa to the right. For example: 20.10 meansP(Z > 20.10) = 0.10. We would also have,for example: P(Z < -20.10) = 0.10 becauseof the symmetric property of the normal dis-tribution.Questions:(a) Find P(-20.13 < Z 20.13).(b) Find P(-%a/2 < Z Z) = 0.057.Hint: It may help to draw a picture of what you want to find.Zo.101IP(Z > Zo.10) 0.10L

Given information: zα is the z-score with an area of α to the right. PZ<-z0.10=0.10

Answered: 4. (Normal Distribution) Setup: Define…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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n=16 mean number of television per household is 4 with a standard deviation of 1 television. using chebychev's theorem, detemine at least how many households have between 2 and 6 television.
Solution: Since we are finding a z-score, we are dealing with the standard normal curve, so the mean is 0 and the standard deviation is 1. Now, to use the MINITAB procedure, we must know the area to the lefty Since the area to the right of the z-score is 0.68, the area to the left is given by 1-0.68 0.32. Input the following to MINITAB: Nd D n Op Out Co Discussion Topics: 1. Copy and paste the inverse cumulative distribution function figure. 2. What is the z-score that has an area of 0.68 to its right?
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Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 3/2 Click to view page 1 of the table, Click to view page 2 of the table. pr 0.55 =/2 pr /2 or The indicated IQ score, x, is (Round to one decimal place as needed.) /2 /2 or 2 or on 2 on ? Enter your answer in the answer box.
7: Identify the overall shape of each histogram below: × 15 Correst matchi Would V. (H1) Skewed to the (H3) Skewed to the middle (b) If the highest bar on each histogram corresponds to a value of 15 of the matching variable, as denoted above, then for which of these three histograms does the matching variable have the lowest mean? Briefly say why. if the hig 1/2 (H2) Skowed to the right -nean L [] Compare
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Let x₁ represent the sample mean cost (in thousands) to remodel a kitchen and x₂ represent the sample mean cost (in thousands) to remodel a master bedroom. A point estimate for the difference in these remodeling costs is desired, so x₁ - x₂ is needed. A sample mean is calculated as follows where x, is the sum of the given values and n is the sample size. X = n The sample of costs to remodel a kitchen, in thousands of dollars, are given. Kitchen 27.2 18.4 23.8 22.9 20.7 24.0 21.7 17.9
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Consider the following data find the value of P(X_>-2).Round your answer to one decimal place
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.

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