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Math215 Statistical Concepts: Generating a Sampling Distribution of Sample Means

An assignment exploring statistical sampling distributions.

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Math215 Statistical ConceptsName: ________________________1081215GeneratingaSampling Distributionof Sample MeansIn this assignment we’ll illustrate the idea of a sampling distribution in the case of a very smallsample from a very small population.The population will be the ages of sixpeople from your family or friends. The parameter ofinterest will be the meanage,μ,of this population. First, identify the sixpeople in your familyor friend groups and record their ages. Then follow the steps below to generate a samplingdistribution and answer the questions.1.Record the data of your population in the tablebelow. (i.e. the ages of the 6people in yourfamily or friends. Population size is N=6)Individual123456Age2523181627302.Find the mean age,μ,andthe standard deviation,σ,of this population.μ =_23.16_____________σ=_5.34_____________3.Now, take10 differentrandom samplesof size n= 3 from this population.You can use yourcalculator (See the instructions in Appendix A at the end of this assignment document) OR useExcel (See the YouTube link in Appendix B) to generate10random samples of size 3.Calculatethe mean of each sample. Listthe ages in each sample andtheir meanin the table below:Sample ItemsSample means,𝑥̅1.16,23,18𝑥̅1=19.002.27,25,23𝑥̅2=25.003.23,30,18𝑥̅3=23.674.16,27,18𝑥̅4=20.335.18,30,16𝑥̅5=21.336.23,18,27𝑥̅6=22.677.18,16,23𝑥̅7=19.008.30,25,27𝑥̅8=27.339.18,16,25𝑥̅9=19.6710.30,27,23𝑥̅10=26.674.Without actually calculatingi.Predict what the mean of 10 sample means from your table above should be:___23_____ii.Predict what the standard deviation of 10 sample means from your table should be:_5_____

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Document Details

University
National University
Course
Math 215
Subject
Mathematics

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