A study of 203 police officers in an eastern state found that their mean salary was $75,500 with a sample standard deviation of $3,000. The same study of 245 police officers in a northern state found that their mean salary was $74,500 with a sample standard deviation of $4,000.

Let group 1 be the eastern state police officers (hence the population mean is represented by) and group 2 be the northern state police officers (hence the population mean is represented by).

1-What is the point estimate of?

2-What is the point estimate of?

3- What is the point estimate of the difference between two means,?

If the shapes of both groups' data are bell shapes, use theempirical ruleto answer thebelow problems.

4- Find the lower bound of the best interval which includes about 95% of police officers' salaries in an eastern state.

5-Find the upper bound of the best interval which includes about 95% of police officers' salaries in an eastern state.

6-Find the lower bound of the best interval which includes about 68% of police officers' salaries in a northern state.

7-Find the upper bound of the best interval which includes about 68% of police officers' salaries in a northern state.

8- Above two problems are empirical approaches to the confidence interval. Again, use the same principle, find thelowerbound of the 95% interval for the difference between two sample means,. Note that this sample difference is also bell-shaped, with mean 1000 and standard deviation 331.

9- Above two problems are empirical approaches to the confidence interval. Again, use the same principle, find theupperbound of the 95% interval for the difference between two sample means,. Note that this sample difference is also bell-shaped, with mean 1000 and standard deviation 331.