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Sampling Distributions Lab Activity 5 Solutions

Practical application of sampling distribution concepts

Anna Wilson
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Lab Activity 5 Solutions1Lab Activity 5 SolutionsSampling DistributionsData Set: Grocery ShoppingNumber of Questions: 21.Sampling Distribution of Sample MeanUse the “Grocery_shopping” data set to complete question 1. This data set recorded the total groceryspending for 50 consumers at a local grocery store.a.Use software to find the descriptive statistics of the variableSpending. Copy and paste youroutput below and answer the following questions: If you need to review how to do this, see question 4on lab activity 2!i.What is the sample size?n= 50ii.What is the mean?= 25.84iii.What is the standard deviation?s = 16.15b.In many situations, such as this, we do not know thepopulationstandard deviation, so we use thesamplestandard deviation instead: ., also called the standard error. Calculate thestandard error ofthe sample mean. Round your answer to two decimal places.= 2.28We can see that this matches the value of “SE Mean” in the software output above.c.Now assume that the true average spending is μ = $28 and standard deviation isσ= $10. Usingthis information, follow these steps to finding P($25 << $28) whenn= 50.i.What is the standard error of the sample mean? Round your answer to two decimalplaces.

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Statistics

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