Use the Following Information to Answer the Question

question 44

Multiple Choice

Use the following information to answer the question. Suppose the manager of a large furniture store wants to estimate the amount spent by customers during the holiday season. She took a random sample of customers and recorded the amount they spent. A histogram of the data shows that the data is strongly left- skewed. The figures below show the confidence intervals for the mean amount spent using (A) raw (untransformed) data, and (B) log- transformed data, which showed a more normally distributed data set. Use this information to answer the question.

-Choose the statement that explains which confidence interval more precisely depicts the data and why.

• A)The confidence interval for the untransformed data is more precise because the values are in actual dollars which is more meaningful.
• B)The confidence interval for the geometric mean is more precise because the distribution of the log- transformed data is more symmetric.
• C)The confidence interval for the untransformed data is more precise because it is strongly left- skewed and the confidence interval gives a wider interval.
• D)None of these.

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Definitions:

Increased Appetite

A heightened desire or need to eat more frequently or in larger quantities than usual, which can be triggered by various factors including stress, intense physical activity, or certain medical conditions.

Flexibility

The quality of bending easily without breaking, often referred to the ability of muscles and joints to stretch.

Muscle Groups

Collections of muscles in the body that work together to perform specific movements, such as the leg muscles involved in walking.

Feet

The lower extremity of the leg below the ankle, used for standing and walking.