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Calculate a confidence interval for µ

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Reference no: EM132716262

You are the Six-Sigma Green Belt in a small company that manufactures corrugated cardboard boxes. These cardboard boxes are rated according to the amount of weight they can hold. A random sample of 11 boxes having the same dimensions selected. Weight is added to each box until it breaks. The sample mean and standard deviation of the breaking weights are 52.34 and 5.79 lbs, respectively. Assume the breaking weight of these boxes are normally distributed. The Black Belt wants you to perform the following:

a) Calculate a 95% confidence interval for μ, the average breaking weight of all such boxes

b) What would the resulting confidence interval be if the data had been collected from a sample of 80 boxes? All other values remain the same.

c) What would the resulting confidence interval if the population standard was known to be σ = 5.79? Compute the interval using samples sizes of 11 and 80.

Reference no: EM132716262

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