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Four steps of hypothesis testing

The average age for licensed drivers in a county is µ= 42.6, ?= 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.

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

2. Complete the four steps of hypothesis testing necessary to determine whether this group differs from the population of drivers in the county andinclude each step in your final study group answer.

3. Given the conclusion found in #2, which type of error (Type I or Type II) is a possibility? Why?

4. Given the possible type of error (Type I or Type II) made in this situation, what could researchers do to reduce the risk of this error?

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## Q : Distributions having equal variances for percent

Assuming (approximately) normal distributions having equal variances for percent wear of tires of each brand under these test conditions, find a 95% confidence interval for \(\mu_{A}-\mu_{B}\)