1. A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults, which is 36.7 ml/kg. A sample of 35 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. Is there enough evidence to support the physician's claim using =0.05?
2. A confidence interval is reported to be [530.72, 549.28]. A sample of size of 32 was used to calculate this interval, and there was a previous estimate of =30. a)What was the sample mean? b) What is the margin of error for this interval? c) What is the level of confidence for this interval?
3. A recent study of 20 city residents showed that the mean of the time they had lived at their present address was 9.3 years. The standard deviation of the sample was 2 years. Find the 90% confidence interval of the true mean. Assume the population follows a normal distribution.
4. A survey of 35 adults found that the mean age of a person's primary vehicle is 5.6 years. Assuming the standard deviation of the population is 0.8 year, find the 95% confidence interval of the population mean.