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A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately 1 pound of meat, and one that holds approximately 3 pounds. A random sample of 39 packages in the smaller meat trays produced weight measurements with an average of 1.03 pounds and a standard deviation of 0.12 pound. (a) Construct a $99%$ confidence interval for the average weight of all packages sold in the smaller meat trays by this supermarket chain. (Round your answers to three decimal places.) Ib to Ib (b) What does the phrase "99\% confident" mean? In repeated sampling, $99%$ of all intervals constructed in this manner will enclose the population mean. There is a $99%$ chance that an individual sample mean will fall within the interval. In repeated sampling, $1%$ of all intervals constructed in this manner will enclose the population mean. $99%$ of all values will fall within the interval. There is a $1%$ chance that an individual sample mean will fall within the interval. (c) Suppose that the quality control department of this supermarket chain intends that the amount of ground beef in the smaller trays should be 1 pound on average. Should the confidence interval in part (a) concern the quality control department? Explain. Based on the confidence interval, the quality control department be concerned. Since 1 is the interval, the interval that $μ$ is different from 1 .

SOLUTION:-

GIVEN DATA:-

we get the values from the data

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