I need help with 4 math problems by 7pm tonight. These are STAT problems.

1. Assume that population means are to be estimated from the sample described. Use the sample results to approximate the margin of error and 95% confidence interval.

Sample size: 1,083

Sample mean: 46,229

Sample standard deviation: 22,000

The margin of error is:

Find the 95% confidence interval:

2. Same question like above but different Samples

Sample size: 1,062

Sample mean: 46,253

Sample Standard Deviation: 22,000

What is the margin of error:

What is the 95% confidence interval:

3. One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use (from 11.4% in 1997) to 9.8% now. Suppose a survey in a high school reveals that, in a random sample of 1,043 students, 95 report usingillegal drugs. Use a 0.05 significance level to test the principal's claim that illegal drug use in her school is below the current national average.

You must Formulate the null and alternative hypotheses:

Find the test statistic.

z=

P-value:

Now make a conclusion: Is it enough evidence?

4. The assets (in billions of dollars) of the four wealthiest people in a particular country are 41, 33, 17, 16. Assume that samples of size 2 are randomly selected with replacement from this population of four values.

A. What are the probability for these numbers:

1. 41, 37, 33, 29, 28.5, 25, 24.5, 17, 16.5, 16

B. Find the mean of the sampling distribution ( Round to two decimal places as needed)

C. Is the mean of the sampling distribution [ from part (b)] equal to the mean of the population of the four listed values? If so, are those means always equals?

P.S.

If any question please contact me soon as possible!