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MAT 221B Homework Quiz: L03 1.)Which of the following is the best statement of the Law of Large Numbers? Answer: If the sample size is large, the sample mean x¯ will be close to the population mean μ. 2.) What is the name of the important statistical result that guarantees that if the sample size is large, the sample means x¯ will follow a normal distribution? 3.) What is the shape of the distribution of sample means? 4.) Calculate the mean of the distribution of sample means. Write you answer in terms of fluid ounces and round to the nearest whole number. (Example: 145)Answer: 129 5.) Calculate the standard deviation of the distribution of sample means. Write you answer in terms of fluid ounces and round to three decimal places. (Example: 0.398)Answer: 0.283 6.) If plant workers sampled 100 jugs instead of 8, which one of the following changes would they see?