1) The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day on average. She selects a random sample of 49 drivers over the age of 60 and finds that the mean number of miles driven is 22.8. The population standard deviation is 3.5 miles. At \(\alpha=0.05\) is there sufficient evidence that those drivers over 60 years old drive less on average than 24 miles per day?

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2) The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of$1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10,798. Do these results indicate that the average expenditure has changed? Choose your own level of significance.

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3) The average length of prison term in the United States for white collar crime is 34.9 months. A random sample of 40 prison terms indicated a mean stay of 28.5 months. The standard deviation of the population is 8.9 months. At α = 0.04, is there sufficient evidence to conclude that the average stay differs from 34.9 months?