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A bottled-water company claims that its 500 mL bottles contain on average 500 mL of water. To check this, a consumer independently purchases 25 bottles and measures the actual volume x (in mL) in each.
She finds
Find an unbiased estimate of the true mean volume μ.
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Use the formula:
to determine an unbiased estimate of the variance of the bottle volumes.
Construct a 95% confidence interval for μ.
State in context a valid conclusion about the company’s claim at the 5% significance level.
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