Suppose Forty Communities Have an Average of Reported Cases of Larceny

question 4

Multiple Choice

Suppose forty communities have an average of reported cases of larceny per year. Assume that $\sigma$ is known to be 39.7 cases per year. Find an 85%, 90%, and 98% confidence interval for the population mean annual number of reported larceny cases in such communities. Compare the margins of error. As the confidence level increase, do the margins of error increase? $$\bar { x } = 134.7$$

• A)The 85% confidence level has a margin of error of 57.2; the 90% confidence level has a margin of error of 65.3; and the 98% confidence level has a margin of error of 92.5. As the confidence level increases, the margins of error increase.
• B)The 85% confidence level has a margin of error of 9.0; the 90% confidence level has a margin of error of 10.3; and the 98% confidence level has a margin of error of 14.6. As the confidence level increases, the margins of error increase.
• C)The 85% confidence level has a margin of error of 1.4; the 90% confidence level has a margin of error of 1.6; and the 98% confidence level has a margin of error of 2.3. As the confidence level increases, the margins of error increase.
• D)The 85% confidence level has a margin of error of 14.6; the 90% confidence level has a margin of error of 10.3; and the 98% confidence level has a margin of error of 9.0. As the confidence level increases, the margins of error decrease.
• E)The 85% confidence level has a margin of error of 92.5; the 90% confidence level has a margin of error of 65.3; and the 98% confidence level has a margin of error of 57.2. As the confidence level increases, the margins of error decrease.

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Definitions:

Elevate Mandible

Elevating the mandible refers to the action of lifting or closing the lower jaw, a movement primarily facilitated by the masseter and temporalis muscles.

Mylohyoid

A muscle beneath the chin that plays a role in elevating the floor of the mouth during swallowing.

Adduct

To draw a limb or part of the body toward the median axis.

Gluteus Medius

A muscle located on the outer surface of the pelvis, crucial for hip stabilization and movement.