In order to identify baby growth patterns that are unusual, we need to construct a confidence interval estimate of the mean head circumference of all babies that are 2 months old. A random sample of 100 babies is obtained and the mean head circumference is found to 40.6cm. Assuming that the population standard deviation is known to be 1.6 cm., Find a 95% confidence interval estimate for the mean head circumference of all two-moth old babies. What aspect of this problem is not realistic?

2. A study was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a distribution which appears to be symmetric and bell-shaped with a mean of $9004 and a standard deviation of $5629. based on data from the U. S. Department of Transportation. Construct a 99% confidence interval for the mean of all such costs.

For the following problems:
1. State the Null Hypothesis and the Alternative Hypothesis
2. Determine the test statistic.
3. Determine the P-value
4. Make a decision regarding the hypotheses based on the P-value and the Level of
Significance.

In a recent year, some professional baseball players complained that umpires were calling more strikes than the average rate of 61% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 of 3581 pitches (based on data from USA Today). Use a 0.05 significance level to test the claim that his strike rate is greater than 61%.

The health of the bear population in Yellowstone National Park is monitored by periodic
measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9lbs. Assuming that the population standard deviation is known to be 121.8lbs, use a 0.05 level of significance to test the claim the population mean of all such bear weights is less than 200lbs.

5. The birth weights (in kilograms) are recorded for a sample of male babies born to mothers taking a…