Problem

The normal probability plot and box plot for the weights of pennies minted after 1982 are shown below. Can a T-interval be construeted? Yes No

Solution

Step 1 :A T-interval, or a Student's t-interval, is a type of confidence interval that is used when the population standard deviation is unknown and the sample size is small. It is based on the t-distribution, which is a probability distribution that is used to estimate population parameters when the sample size is small and/or when the population variance is unknown.

Step 2 :In order to construct a T-interval, we need to have a random sample from a population and we need to either know that the population is normally distributed or that the sample size is large enough for the Central Limit Theorem to apply.

Step 3 :Since the question does not provide any information about the sample size or whether the weights of the pennies are normally distributed, we cannot determine whether a T-interval can be constructed based on the information given.

Step 4 :Final Answer: \(\boxed{\text{No}}\).

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