Find the z-score corresponding to a score of X= 40 and the X value corresponding to z = 0.25 for each of the following distributions.

a. μ = 50 and σ = 20

b. μ = 50 and σ = 4

c. μ = 30 and σ = 8

d. μ = 30 and σ = 4

Two fair coins are flipped at the same time.

1) What is the probability of getting a match (same face on both coins)? Answer for part 1 [The answer should be a number rounded to five decimal places, don't use symbols such as %]

2) What is the probability of getting at least two heads? Answer for part 2 [The answer should be a number rounded to five decimal places, don't use symbols such as %]

Given a normal distribution with u = 70 and o= 20, what is the probability that

1. X>110
2. X<10
3. X < 70 or x> 130
4. Between what two x values (symmetrically distributed around the mean) are 70% of the values

Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of patients with SAD to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their mood following this therapy on a scale from 1 (poor mood) to 9 (improved mood). The hypothetical results are given in the following table.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Round your answers to two decimal places. Assume experimentwise alpha equal to 0.05.)

State the decision for the main effect of the time of day.

Retain the null hypothesis.Reject the null hypothesis.    

State the decision for the main effect of intensity.

Retain the null hypothesis.Reject the null hypothesis.    

State the decision for the interaction effect.

Retain the null hypothesis.Reject the null hypothesis.    

(b) Compute Tukey's HSD to analyze the significant main effect.

The critical value is  for each pairwise comparison.

Summarize the results for this test using APA format.

The Salary Institute of America (SIOA) has gathered the following data on individuals working in the retail industry in Alabama.

a. Construct a 90% confidence interval to estimate the population mean salary for females with bachelors who work in the retail industry in Alabama. Interpret your interval.  

b. Suppose you would like to estimate the population proportiion of retail workers in Georgia who have a masters degree with 95% confidence and a margin of error of 3 percentage points. How large of a sample would you need?  Interpret your interval.  

Suppose that Xtel currently is selling at $40 per share. You buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%.

a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to (a) $44; (b) $40; (c) $36? (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

b. If the maintenance margin is 25%, how low can Xtel’s price fall before you get a margin call? (Round your answer to 2 decimal places.)

Price            $

c. How would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (Round your answer to 2 decimal places.)

Strike price            $

d. What is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if Xtel is selling after one year at (a) $44; (b) $40; (c) $36? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

e. Continue to assume that a year has passed. How low can Xtel’s price fall before you get a margin call? (Round your answer to 2 decimal places.)

Price            $

1) Which of the following statements is most correct?

Select one:

a. The constant growth model is often appropriate for companies that never pay dividend.

b. The constant growth model is often appropriate for companies that the dividend growth rate is larger than its required rate of return on stock.

c. The constant growth model is inappropriate for mature companies with a stable history of growth.

d. Two firms with the same dividend and growth rate should have the same stock price.

e. The constant growth model can be applied to companies that expect zero dividend growth rate.

2) A stock’s dividend is expected to grow at a constant rate of 5% a year. Which of the following statements is most correct?

Select one:

a. The net income of the firm is expected to grow at a constant rate of 5% a year.

b. The expected return on the stock is 5% a year.

c. The stock’s dividend yield is 5%.

d. The required return rate of the stock is 5% a year.

e. The stock’s price one year from now is expected to be 5% higher.

3) Use the following information to answer the next question.

• Thames Inc.'s most recent dividend was $2.40 per share. The dividend is expected to grow at 3% per year.

• The T-bill rate is 5% and the market return rate is 9%.

• The company's beta is 1.3.

What is the expected price of the stock two years later?

Select one:

a. $36.42

b. $72.14

c. $57.14

d. $37.83

e. $35.36

4) Use the following information to answer the next question.

·       The last dividend paid by Klein Company was $1.00.

·       Klein's growth rate is expected to be a constant 20% for 3 years, after which dividends are expected to grow at a rate of 4% forever.

·       Klein's required rate of return on equity is 10%.

What should be the current price of Klein's common stock?

Select one:

a. $36.84

b. $42.25

c. $50.16

d. $30.84

e. $26.08

5) Use the following information to answer the following question.

Analysts project the following free cash flows (FCFs) for Ezzell Corporation during the next 3 years, after which FCF is expected to grow at a constant 7% rate. Ezzell’s WACC is 12%. Ezzell has $100 in debt and 40 shares of stock.

What should be Ezzell’s current stock price?

Select one:

a. $14.98

b. $11.53

c. $12.98

d. $13.22

e. $9.22