In a certain country the distribution of income

Assignment Help Basic Statistics

Reference no: EM131104103

In a certain country the distribution of income for the whole population follows a slightly right skewed distribution. Problem five: Lila programs the computer to take one thousand random samples of size 30 from the population.

In one of the thousand samples that Lila took from this population, the mean income was $34,500 and the standard deviation was equal to $3000.

a) Find the 95% confidence interval for income in the population and interpret the results.

b) What assumptions must you make when computing the confidence interval?

c) Would it be reasonable to make the following claim: "The probability that the income in the population (µ) be between the lower and the upper bound of the confidence interval calculated above is 95%" Explain. Test the null hypothesis that the mean income of the population in this country is equal to $35,000 (two-tailed test).

d) What is the long run probability of incorrectly rejecting the null hypothesis?

Problem six. USE SAME varaibles for BOTH PART A and B!!!

a) Using the sex discrimination data set to conduct a two-sample test of the mean to compare the relationship between gender and endorsing women for public office. ( outcome attitude toward putting women in public office) (Predictor Gender)

1) State the null hypothesis?

2) What is the underlying sampling distribution?

3) Using R conduct a t-test of the null and create the 95% confidence interval.

4) Using the relevant findings from the printout calculate the t value and the confidence interval by hand.

5) Interpret the results regarding testing the null and the confidence interval.

b)Conduct simple linear regression using attitude toward endorsing women for public office as outcome variable and gender as the predictor (the independent variable).

1) State the null hypothesis?

2) What is the underlying sampling distribution?

3) Using R, conduct a t-test of the null and create the 95% confidence interval.

4) Using the relevant findings from the printout calculate the t value and the confidence interval by hand.

5) Interpret the results regarding testing the null and the confidence interval.

Reference no: EM131104103

Questions Cloud

Instruments of monetary policy of federal reserve system : Describe the structure of the Federal Reserve System. What are the responsibilities and functions of each of the components of the Federal Reserve System? What are the instruments of monetary policy of the Federal Reserve System? Explain each one.

Do you think that this was just cause for termination : Do you think that this was just cause for termination? If so, explain why. If not, how should the situation have been handled?

Price of low- tech manufactures in america : What happens to the price of high-tech manufactures relative to the price of low- tech manufactures in America following trade?

Why does this same event increase the wage of labor : Why does an increase in the amount of capital reduce the rental rate of capital? Why does this same event increase the wage of labor?

In a certain country the distribution of income : In a certain country the distribution of income for the whole population follows a slightly right skewed distribution. Problem five: Lila programs the computer to take one thousand random samples of size 30 from the population.

What will happen to her money : Dellatorre is also very bright, and, therefore, she would like to understand, in general terms, what will happen to her money. Your boss has developed the following set of questions which you must ask and answer to explain the U.S. financial system t..

What do think would be reasonable notice for pierre : Suzette has been served with a constructive dismissal lawsuit by Lucy. Do you think the court will consider Lucy's situation to be constructive dismissal? Explain your reasoning.

Inefficient for asian governments to subsidize gasoline : a. Explain why it is inefficient for Asian governments to subsidize gasoline.

Determining the consumption bundle : Suppose that the real interest rate is 12% and everything else stays the same. Neither can afford the consumption bundle.

User Account

All Pages