Chapter 7 In-Class Excel Practice

s for Sampling Distributions Infinite Population 𝜎_¯𝑥= 𝜎/√𝑛 )) 𝜎_¯𝑝=√((𝑝(1−𝑝))/ 𝑛)

Package # of M&M’s # of Red M&M’s # of Blue M&M’s # of Yellow M&M’s #1 17 2 4 3 #2 15 1 4 0 #3 18 2 5 0 Use the above data to calculate proportions of M&M's by color an Package # of M&M’s p of Red M&M’s p of Blue M&M’s p of Yellow M&M’s #1 17 0.1176470588235 0.2352941176471 0.176470588235294 #2 15 0.0666666666667 0.2666666666667 0 #3 18 0.1111111111111 0.2777777777778 0 x-bar/p-bar 16.66666667 0.0984749455338 0.2599128540305 0.058823529411765 15.18468468 0.1282298105 0.1962896807 0.9887 0.1218542451 n= 3 0.1548750071 0.570826211147783 0.1555879254 Fave M&M Color: Green 0.2371220592 0.123828263110977 Suppose we took another sample, find… 1 0.9887 P = -0.03635518 0.15 0.9887 P = 0.759150223 Yes because the data is normally distributed You are each going to open 3 packages of M&M's. BEFORE EATING ANY, please co each package. Once you are done, please transfer this inform Using the data we collected as a class, what are the expected values of: Using the available information, find the standard error for x-bar and p-bar for your favorite M&M Color. Assume the population mean is normally distributed. …the probability that the average will be within 1 M&M of the population mean. ≤ x̄ ≤ …the probability that the proportion of your favorite color will be within .15 of the population proportion. ≤ p̅ ≤ Are our estimates for the sampling distribution of x-bar reliable? Why or why not? 𝑥 ̅= 𝑅𝑒𝑑 𝑝 ̅= 𝐵𝑙𝑢𝑒 𝑝 ̅= 𝑂𝑟𝑎𝑛𝑔𝑒 𝑝 ̅= 𝑌𝑒𝑙𝑙𝑜𝑤 𝑝 ̅= 𝐺𝑟𝑒𝑒𝑛 𝑝 ̅= 𝐵𝑟𝑜𝑤𝑛 𝑝 ̅= 𝜎= 𝜎_𝑝 ̅ = 𝜎_𝑥 ̅ = 𝜎= 𝜎=

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