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11.07.2022 - 12:08

A grain mill manufactures 100-pound bags of flour for sale in restaurant supply warehouses. Historically, the weights of bags of flour manufactured at the mill were normally distributed with a mean of 100 pounds and a standard deviation of 15 pounds. If s

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A grain mill manufactures 100-pound bags of flour for sale in restaurant supply warehouses. Historically, the weights of bags of flour manufactured at the mill were normally distributed with a mean of 100 pounds and a standard deviation of 15 pounds. If samples of 36 bags are taken, what is the standard error of the mean?

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Marion April 17, 2023 в 17:00

The standard error of the mean is found by dividing the standard deviation by the square root of the sample size. In this case, the standard deviation is 15 pounds and the sample size is 36 bags. So, Standard error of the mean = 15 / sqrt(36) = 15 / 6 = 2.5 pounds Therefore, the standard error of the mean is 2.5 pounds. This means that if we repeatedly take samples of 36 bags and calculate the mean weight of each sample, the standard error tells us how much variation we should expect in the sample means. A smaller standard error indicates less variation and greater precision in our estimates of the true population mean weight of the bags of flour manufactured at the mill.

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