Find Margin Of Error Given Confidence Interval
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Formula For Margin Of Error
Statistics Essentials For Dummies Statistics For Dummies, 2nd Edition SPSS Statistics for Dummies, 3rd Edition Statistics II for Dummies Load margin of error excel more EducationMathStatisticsHow to Calculate the Margin of Error for a Sample Mean How to Calculate the Margin of Error for a Sample Mean Related Book Statistics For Dummies, 2nd Edition By Deborah J.
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Rumsey When a research question asks you to find a statistical sample mean (or average), you need to report a margin of error, or MOE, for the sample mean. The general formula for the margin of error for the sample mean (assuming a certain condition is met -- see below) is is the population standard deviation, n is the sample size, and z* is the appropriate margin of error calculator without population size z*-value for your desired level of confidence (which you can find in the following table). z*-Values for Selected (Percentage) Confidence Levels Percentage Confidence z*-Value 80 1.28 90 1.645 95 1.96 98 2.33 99 2.58 Note that these values are taken from the standard normal (Z-) distribution. The area between each z* value and the negative of that z* value is the confidence percentage (approximately). For example, the area between z*=1.28 and z=-1.28 is approximately 0.80. This chart can be expanded to other confidence percentages as well. The chart shows only the confidence percentages most commonly used. Here are the steps for calculating the margin of error for a sample mean: Find the population standard deviation and the sample size, n. The population standard deviation, will be given in the problem. Divide the population standard deviation by the square root of the sample size. gives you the standard error. Multiply by the appropriate z*-value (refer to the above table). For example, the z*-value is 1.96 if you want to be about 95% confident. The condition you need to meet in order to use a z*-value in the margin of error formula for a sample mean is either:
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Margin Of Error Definition
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Size = 9 - 1Interval Size = 8Calculate the margin of margin of error error:Margin of Error=±Interval Size2Margin of Error=±82Margin of Error = ±4Calculate sample mean:The sample mean is just the midpoint of the confidence intervalSample Mean x=Interval Size2Sample Mean x=9 + 12Sample Mean x=102Sample Mean x = 5 Email: don@mathcelebrity.com Tel: (708) 926-4171 MembershipExam CertificationsHomework HelpFree Traffic Secrets CourseSubjectsPrivacy Policy