1. Insomnia has become an epidemic in the United States. Much research has been done in the development of new pharmaceuticals to aide those who suffer from insomnia. Alternatives to the pharmaceuticals are being sought by sufferers. A new relaxation technique has been tested to see if it is effective in treating the disorder. Sixty insomnia sufferers between the ages of 18 to 40 with no underlying health conditions volunteered to participate in a clinical trial. They were randomly assigned to either receive the relaxation treatment or a proven pharmaceutical treatment. Thirty were assigned to each group. The amount of time it took each of them to fall asleep was measured and recorded. The data is shown below. Run an independent samples t-test to determine if the relaxation treatment is more effective than the pharmaceutical treatment at a level of significance of 0.05. Report the test statistic using correct APA formatting and interpret the results.

In the United States, first grade kids have an average friendliness score (FS) of 24 with a standard deviation of 4. Also these first grade classes all have 23 students in them. Use this information to answer questions #26-#29.

What percent of classrooms have FS averages between 23.28 and 23.77?

What is the percentile rank of a child with FS equal to 22.88?

What percent of classrooms have FS averages less than 26?

What percent of classrooms have average friendliness scores between 24.11 and 24.37?

The federal minimum wage in the United States is currently $7.50 per hour. Joe Biden, the Democratic candidate for President, proposes to increase it to $15. Based on your knowledge of the elasticity of labour demand for low-wage workers, how would you expect Biden’s plan to affect:

a. Employment of low-wage workers. Be precise.

b. Earnings of low wage workers. Be precise.

c. Prices of goods produced with low-wage labour. Explain and illustrate.

d. Summarize the effects of this tax and transfer policy on different groups, i.e. who gains and who loses from this policy?

Suppose labor demand for low-skilled workers in the United States is w = 24 - 0.1L where L is the number of workers (in millions) and w is the hourly wage. There are 120 million domestic U.S. low-skilled workers who supply labor inelastically. If the U.S. opened its borders to immigration, 20 million low-skilled immigrants would enter the U.S. and supply labor inelastically.

Draw a clearly labeled graph showing the equilibrium before immigration and the effect of opening the borders. (The equilibrium wage and employment level should be labeled both before and after immigration.)

In 2018, many unskilled workers in the United States earned the federal minimum wage of $7.25 per hour. By contrast, average earnings in 2018 were about $27 per hour, and certain highly skilled professionals, such as doctors and lawyers, earned $100 or more per hour.

Instructions: In part a, round your answers to 2 decimal places. For all other parts, enter your answers as a whole number unless otherwise indicated.

a. If we assume that wage differences are caused solely by differences in productivity, how many times more productive was the average worker than a worker being paid the federal minimum wage?

How many times more productive was a $100-per-hour lawyer compared to a worker earning minimum wage?

b. Assume that there are 20 minimum-wage workers in the economy for each $100-per-hour lawyer. Also assume that both lawyers and minimum-wage workers work the same number of hours per week. If everyone works 40 hours per week, how much does a $100-per-hour lawyer earn in a week?

How much does a minimum-wage worker earn a week?

c. Suppose that the government pairs each $100-per-hour lawyer with 20 nearby minimum-wage workers. If the government taxes 25 percent of each lawyer’s income each week and distributes it equally among the 20 minimum-wage workers with whom each lawyer is paired, how much more will each of those minimum-wage workers receive each week?

If we divide by the number of hours worked each week, how much does each minimum-wage worker’s weekly transfer amount to on an hourly basis? Instructions: Round your answer to 2 decimal places.

d. Suppose the government taxes each lawyer 100 percent before dividing the money equally among the 20 minimum-wage workers with whom each lawyer is paired. How much per week will each minimum-wage worker receive?

How much is that on an hourly basis?

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.1 inches, and standard deviation of 5.8 inches.

1. What is the probability that a randomly chosen child has a height of less than 52.5 inches? ROUND ANSWER TO 3 DECIMAL PLACES.
   
   
2. What is the probability that a randomly chosen child has a height of more than 53.7 inches? ROUND ANSWER TO 3 DECIMAL PLACES

3. Interpret your results from part 2. in context of heights of ten-year-old children.

1. Interpret your results from part 2 in context of heights of ten-year-old children.

If the initial exchange rate is $1.20 cad for $1.00US. After 10 years, the United States price level has risen from 100 to 200, and the Canadian price level has risen from 100 to 175.

What was the inflation rate in each country?

What nominal exchange rate would preserve the initial real exchange rate?

Which country’s currency depreciated?

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53 inches, and standard deviation of 6.4 inches.

A) What is the probability that a randomly chosen child has a height of less than 53.5 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 35.3 inches?

Answer= (Round your answer to 3 decimal places.)

Please explain how to enter into a ti-84 calculator. Thank you.

Please show work

The median incomes of females in each state of the United States, including the District of Columbia and Puerto Rico, are given in following table ("Median income of," 2013).

Create a frequency distribution, relative frequency distribution, and cumulative frequency distribution using 7 classes and answer the following questions:

a. What is the frequency associated with the THIRD class?

b. What is the frequency associated with the FIFTH class?

c. What is the relative frequency associated with the THIRD class? Express answer as decimal rounded to nearest hundredth (two places after decimal). Examples of correctly entered answers are:

0.05

0.37

0.60

1.00

d. What is the relative frequency associated with the FIFTH class? Express answer as decimal rounded to nearest hundredth (two places after decimal). Examples of correctly entered answers are:

0.05

0.37

0.60

1.00

e. What is the cumulative frequency associated with the SEVENTH class?

HINT

Sum of tallies column MUST equal total number of scores!

Sum of frequencies column MUST equal total number of scores!

Sum of relative frequencies column MUST equal 100% or 1 (due to rounding decimals, you may not get “1” exactly)