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"Education is the most powerful weapon which you can use to change the world”
– Nelson Mandela

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Lab Activity 5

Lab Activity 5

Q Question 1 3 / 3 pts Exploring the sample data and creating a single bootstrap sample What is the mean of your bootstrap sample? Question 2 8 / 8 pts Creating a bootstrap sample of the sample mean Use the drop down options to answer the following questions: 1) What was the shape of the bootstrap distribution? normal (or approximately normal) 2) Is it reasonable to assume that the true distribution of sample means has this same shape, or something very close to this bootstrap distribution? ["", "", ""] distribution of sample means. What symbol to do we use for this estimate. Select the number associated with the correct answer ["", "", ""] (1) s = sample standard deviation (2) ? = population standard deviation (3) SEx¯= standard error 4) TRUE OR FALSE: The size of each bootstrap sample generated must be equal to the original sample size n but the size of the bootstrap distribution can be as large as you want it to be. ["", Question 3 4 / 4 pts Calculating the confidence interval using the formula method and percentile method. Why does the bounds of the confidence interval using the formula method closely match the bounds using the percentile method?

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1.20.13 2,Answer 1: normal (or approximately normal) Answer 2: As long as we assume that the sample data is representative of the population data, then the shape of the bootstrap distribution should be similar to the shape of the true sampling distribution. You got it! Answer 3: 3 Correct. The standard error is what we call the standard deviation of the bootstrap distribution. This standard error will be our estimate of what ?x¯is and we will use this standard error in the calculations of a confidence interval. Just a heads up, this standard error will have a formula to it once we talk about t-methods toward the end of the term.