Statistics Help!

Question

The health of the bear population in Yellowstone national park is monitored by periodic measurements taken from anesthetized bears. A sample of 64 bears has a mean of 182.9 pounds. Assume the weight of bears in Yellowstone National park has a standard deviation of 121.8 pounds, construct a 99% confidence interval for the mean weight of bears in Yellowstone National Park.

a)Find margin of error

b) Construct the confidence interval

Answer 1

It would be helpful if you tell how you are solving these problems in your class - statistical calculator, computer software, or tables. I would also like to see what work you have done on this problem. I will get you started.

a) Since you are dealing with sets of 64 bears, you need to divide 121.8 (which is for individual bears) by the square root of 64 to get the standard error. See if you get 15.225. Use a t-statistic (since you are using a sample standard deviation) for a 99% confidence interval (however you figure that out in your class). The margin of error is 15.225 times the t-value that you get.

b) The confidence interval is the sample mean 182.9 plus and minus the margin of error that you get.How you get the values depends on whether you use calculator, computer, or tables in your class. If you tell what method you use, and submit some work on the problem, someone here can check your work and help you from there.