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Hi, I need help with a test I have for a take home exam, and I do not really understand this section I am on for the test. If you can help me get the answer, and show me the steps on how you got the answer, I would greatly appreciate it!

1. A population consists of the following three values: 10,12, and 14.

(a) List all samples of size 2, and compute the mean of each sample.

(b). compute the mean of the distribution of the sample mean and the population mean. Compare the two values.

2. At a university suppose the administration wanted to estimate the student's mean credit hours per semester to within 0.1 hours at 95% reliability and assumed that the sample standard deviation 2.3 credit hours per semester provided a good estimate for the population standard deviation. How large a total sample would they need to take?

3. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Construct a 90% confidence interval to estimate the true proportion of students who receive financial aid.

4. An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is know to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. Construct a 99% confidence interval estimate for the average income.

5. A sample of 25 is selected from a population of 500 items. The sample mean is 25.7, and the sample standard deviation is 7.8. Construct a 99% confidence interval estimate of the population total.

6. Suppose that a sample of 50 is selected from a population of 5,000 items. Of these, 10 items are found to have errors of the following amounts:

13.76, 42.87, 34.65, 11.09, 14.54, 22.87, 25.52, 9.81, 10.03, 15.49

Construct a 95% confidence interval estimate of the total difference in the population.

^^ I need this done by Sunday night at the very latest.

1. A population consists of the following three values: 10,12, and 14.

(a) List all samples of size 2, and compute the mean of each sample.

(b). compute the mean of the distribution of the sample mean and the population mean. Compare the two values.

2. At a university suppose the administration wanted to estimate the student's mean credit hours per semester to within 0.1 hours at 95% reliability and assumed that the sample standard deviation 2.3 credit hours per semester provided a good estimate for the population standard deviation. How large a total sample would they need to take?

3. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Construct a 90% confidence interval to estimate the true proportion of students who receive financial aid.

4. An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is know to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. Construct a 99% confidence interval estimate for the average income.

5. A sample of 25 is selected from a population of 500 items. The sample mean is 25.7, and the sample standard deviation is 7.8. Construct a 99% confidence interval estimate of the population total.

6. Suppose that a sample of 50 is selected from a population of 5,000 items. Of these, 10 items are found to have errors of the following amounts:

13.76, 42.87, 34.65, 11.09, 14.54, 22.87, 25.52, 9.81, 10.03, 15.49

Construct a 95% confidence interval estimate of the total difference in the population.

^^ I need this done by Sunday night at the very latest.

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