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Maximal Error Estimate

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Powered by vBulletin Version 4.2.2 Copyright © 2016 vBulletin Solutions, Inc. Once you have computed E, I suggest you save it to the memory on your calculator. Student's t Distribution When the population standard deviation is unknown, the mean has a Student's t distribution. Notice the formula is the same as for a population mean when the population standard deviation is known. weblink

The reason for this is that the limits for the confidence interval are now found by subtracting and adding the maximum error of the estimate from/to the sample mean. The maximum error of the estimate is given by the formula for E shown. The Z here is the z-score obtained from the normal table, or the bottom of the t-table as explained in the introduction to estimation. The maximum error of the estimate is given by the formula for E shown.

Maximum Error Of Estimate Formula

Show all work. 2E -------------------------------- (E) Given this same confidence level and standard deviation, find n if E = 3.5. (Always round to the nearest whole person.) Show all work. You may have to register before you can post: click the register link above to proceed. vBulletin Modifications by Mod-Mall.com SOLUTION: Given a level of confidence of 99% and a population standard deviation of 10, what other information is necessary: (A) To find the Maximum Error of It is symmetric about its mean It has a mean of zero It has a standard deviation and variance greater than 1.

There are actually many t distributions, one for each degree of freedom As the sample size increases, the t distribution approaches the normal distribution. Algebra: Probability and statisticsSection SolversSolvers LessonsLessons Answers archiveAnswers Click here to see ALL problems on Probability-and-statistics Question 245777: Given a level of confidence of 99% and a population standard deviation The t-score is a factor of the level of confidence and the sample size. Maximum Error Of Estimate Definition n = [z*s/E]^2 n = [2.576*10/3.5]^2 -------------------------------- Cheers, Stan H.

The z-score is a factor of the level of confidence, so you may get in the habit of writing it next to the level of confidence. Maximum Error Of Estimate Calculator It is bell shaped. Table of Contents Register Help Remember Me? https://www.mathway.com/examples/Statistics/Estimation-and-Sample-Size/Finding-the-Maximum-Error?id=320 On the TI-82, a good choice would be the letter E.

The t here is the t-score obtained from the Student's t table. Maximum Error Statistics Degrees of Freedom A degree of freedom occurs for every data value which is allowed to vary once a statistic has been fixed. The Student's t distribution was created by William T. Show all your calculations.

Maximum Error Of Estimate Calculator

The following data set represents the repair costs (in dollars) for a random sample of 30 dishwashers. (Adapted from Consumer Reports) 41.82 52.81 57.80 68.16 73.48 78.88 88.13 88.79 90.07 90.35 Results 1 to 1 of 1 Thread: maximum error of estimate for a 95% level of confidence Thread Tools Show Printable Version Email this Page… Subscribe to this Thread… Search Thread Maximum Error Of Estimate Formula Answer by stanbon(72917) (Show Source): You can put this solution on YOUR website! Maximum Error Formula Reply With Quote Quick Navigation Probability / Statistics Top Site Areas Settings Private Messages Subscriptions Who's Online Search Forums Forums Home Forums Important Stuff News Administration Issues Free Math Help Arithmetic

E = z*s/sqrt(n) E = 2.576*10/sqrt(45) -------------------------------- (D) For this same sample of n = 45, what is the width of the confidence interval around the population mean? have a peek at these guys Once you have computed E, I suggest you save it to the memory on your calculator. The brewery wouldn't allow him to publish his work under his name, so he used the pseudonym "Student". This value will change depending on the statistic being used. What Is Maximum Error

For a single mean, there are n-1 degrees of freedom. On the TI-82, a good choice would be the letter E. The only thing that has changed is the formula for the maximum error of the estimate. check over here The time now is 07:33 AM.

Given a level of confidence of 99% and a population standard deviation of 10, what other information is necessary: (A) To find the Maximum Error of Estimate (E)? Calculate Maximum Error Forum New Posts FAQ Calendar Community Member List Forum Actions Mark Forums Read Quick Links Today's Posts View Site Leaders Advanced Search Forum Free Math Help Probability / Statistics maximum error Show all your calculations.

Show all work. (E) Given this same confidence level and standard deviation, find n if E = 3.5. (Always round to the nearest whole person.) Show all work.

What's New? Population Standard Deviation Known If the population standard deviation, sigma is known, then the mean has a normal (Z) distribution. The Student's t distribution is very similar to the standard normal distribution. How To Find Maximum Error Statistics The t-scores can be negative or positive, but the probabilities are always positive.

All rights reserved. Show all work. Gosset, an Irish brewery worker. http://threadspodcast.com/maximum-error/maximum-error-estimate.html Show all work. (D) For this same sample of n = 45, what is the width of the confidence interval around the population mean?

Population Standard Deviation Unknown If the population standard deviation, sigma is unknown, then the mean has a student's t (t) distribution and the sample standard deviation is used instead of the The reason for this is that the limits for the confidence interval are now found by subtracting and adding the maximum error of the estimate from/to the sample mean. Size of the sample. ------------------------------- (B) To find the sample size (n)? n = [z*s/E]^2 ------------------------------- (C) Given the above confidence level and population standard deviation, find the Maximum Error of Estimate (E) if n = 45.

Stats: Estimating the Mean You are estimating the population mean, mu, not the sample mean, x bar. To start viewing messages, select the forum that you want to visit from the selection below.