Question

The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram.

The test statistic for the population mean has which of the following distributions?

Answer 1

Answer:

D

Explanation:

Answer 2

The test statistic for the population mean has a t-distribution with 9 degrees of freedom.

• The t-distribution is a type of statistical distribution describing standardized distances of sample means to the corresponding population mean.

• This distribution (t-distribution) can be used when data are approximately normally distributed.

• The degrees of freedom indicate the number of independent observations in the data.

In conclusion, the test statistic for the population mean has a t-distribution with 9 degrees of freedom.

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