The average age for licensed drivers in a county is µ= 42.6, σ= 12 and the distribution is approximately normal. A county police officer was interested in whether the average age of those receiving parking tickets in the county differed from that of the average age of the population of licensed drivers in the county. She obtained a random sample of N = 25 drivers in the county, who received parking tickets. The average age for these drivers was M= 40.5.

Question

The average age for licensed drivers in a county is µ= 42.6, σ= 12 and the distribution is approximately normal. A county police officer was interested in whether the average age of those receiving parking tickets in the county differed from that of the average age of the population of licensed drivers in  the county. She obtained a random sample of N = 25 drivers in the county, who received parking tickets. The average age for these drivers was M= 40.5.

Identify the appropriate hypothesis for analyzing this data including the conditions for using this test.

Bot · Answer

H0: μ = 42.6 H1: μ ≠ 42.6 Conditions: The sample size is 25 and the population standard deviation is known (σ = 12).