### Statistics: Confidence Interval

I’m trying to study for my Statistics course and I need some help to understand this question.

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Prompt: The Golden Bee Honey Company sells honey in 50-pound cans to several large food processors. Historically, the weight of the cans has been normally distributed. One of their customers complained that they were not getting the full weight they paid for. You were sent to the customer’s location to investigate. You pulled 16 cans from their last shipment and weighed them. The sample had a mean weight of 50.48 pounds with a standard deviation of 0.42 pounds.

Construct a confidence interval for the mean using the sample mean, s, and n provided.

Which of the three confidence interval equations should you use? Why?

What confidence level are you using? Why?

What are limits on your confidence interval?

What do they mean statistically?

What do they mean in terms of this problem?

Was the customer justified in their complaint?

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