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STAT201 Sampling Dist

# STAT201 Sampling Dist - Click to edit Master subtitle style...

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Unformatted text preview: Click to edit Master subtitle style 9/26/11 Sampling Distributions STAT201 9/26/11 Example 1. Sample Mean • When its ovens are working properly, the time required to back fruit pies at Ellardo Bakeries is normally distributed with a mean of 45 minutes and a standard deviation of 5 minutes. Yesterday, a random sample of 16 pies had an average baking time of 50 minutes. a. if its ovens are working properly, how likely is it that a sample of 16 pies would have an average baking time of 50 minutes 9/26/11 Example 1 Parameters • Population mean μ=45 minutes • Population standard deviation =5 minutes σ • Sample size n=16 pies • Sample mean x-bar=50 • Population size N is not available 9/26/11 Example 1 Solution • Get new mean and standard deviation for sampling distribution • Become a normal distribution question (chapter 6) z= (50-45)/1.25=4 = = 45 x μ μ 5 = =1.25 16 x n σ σ = 9/26/11 b. Yes, since the probability of a sample of size 16 having a mean of 50 or more is essentially 0. essentially 0....
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