Assuming equal numbers of observations in each of the two sa…

Assuming equal numbers of observations in each of the two samples, find the sample sizes needed to estimate the difference in population means correct to within 2.5 with probability 0.90.  From prior experience, we know that the standard deviation of population 1 is 18 and the standard deviation of population 2 is 16.

The mean length of time required to complete the Columbus Ma…

The mean length of time required to complete the Columbus Marathon was 4.5 hours and the standard deviation of the times was 0.50 hours.  Assume that the racing times were approximately normally distributed.  Only 10% of the runners would be expected to complete the race in less than x hours.  Find the value of x.

Frame score in beef cattle is based on height at the hips an…

Frame score in beef cattle is based on height at the hips and is used as a measure of skeletal size.  Frame scores range from 1 to 10 with a higher number indicating a taller animal.  Independent random samples of frame scores were selected from the Angus and Simmental breeds of beef cattle with the following results: Angus Simmental 5 7 6 7 7 8 5 6 7 7 6   Calculate the Total Sum of Squares.

The increasing cost of health care is an important issue tod…

The increasing cost of health care is an important issue today.  Suppose that a random sample of 25 small companies that offer paid health insurance as a benefit was selected.  The sample mean for health insurance cost per worker per month was $300 and the sample standard deviation was $50.  Construct a 90% confidence interval for the population mean (μ).  Assume that any necessary assumptions have been met.