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Suppose that the volume in a soda can has a mean of 358 milliliters and standard...

Suppose that the volume in a soda can has a mean of 358 milliliters and standard deviation 6 milliliters and that the shape of the distribution of claims in bell-shaped.

(a) A researcher takes random samples of size n = 6 and calculates the sample mean x . Create the sampling distribution for this sample mean x . What is the center and the standard error of this new sampling distribution? Draw and label the distribution and provide at least five points on the horizontal axis.

(b) Determine the probability that the average volume in a six-pack is over 350 milliliters.

(c) Consider the distribution of sample means in part (b). What is the cut-off value for a sample mean where only 10% of the sample means will be higher?

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