Grades on an english test can be modeled as a normal distribution with mean 80 and standard deviation 5.

A) if the english department is awarding students with test grades in the top 5%, find the lowest grade a student needs to receive the award.

B) A student is randomly selected from the class so the distribution of this student's test grade is N(80,5), what is the probability that this student scored above a 90?

C) What is the probability that the student in part b scored exactly a 90?

D) If 5 students are randomly selected from the class. what is the probability that exactly 3 of them scored above a 90?

E) If 20 students are randomly selected from the class what is the probability that at least 12 of them scored above an 80?

How do you perform hypothesis testing on multiple regression data from ANOVA table step-by-step? Please provide example.

A regional planner is studying the demographics in a region of a particular state. She has gathered the following data on nine counties.

A portfolio manager expects to purchase a portfolio of stocks in 60 days. In order to hedge against a potential price increase over the next 60 days, she decides to take a long position on a 60-day forward contract on the S&P 500 stock index. The index is currently at 1150. The continuously compounded dividend yield is 1.85 percent. The discrete risk-free rate is 4.35 percent. Calculate the no-arbitrage forward price on this contract.

One hundred students were placed into two groups. The two groups were the South Beach diet and Keto diet. Below are the data for pounds lost after 1 month of dieting. Assume the data are normal and that the sample size is 100 (but, use the values you have). Tell me if there is a difference between the two diets. Show all of your work.

The following data are from 10 individuals that were treated with 2 different drugs that are said to reduce acid in the stomach. Below are the pH’s of the stomach contents after giving the drugs to each patient. Tell me if one of the drugs are more effective than the other. Remember that a low pH is more acidic.

A researcher randomly assigns 33 subjects to one of three groups. Group 1 receives technical dietary information interactively from an on-line website. Group 2 receives the same information from a nurse practitioner, while Group 3 receives the information from a video tape made by the same nurse practitioner.

The researcher looked at three different ratings of the presentation; difficulty, usefulness, and importance to determine if there is a difference in the modes of presentation. In particular, the researcher is interested in whether the interactive website is superior because that is the most cost-effective way of delivering the information.

1. Run the appropriate analysis of the data and interpret the results.

2. How could this study have been done differently? Why or why not would this approach be better?

. Many people believe that having more money will make them happy. Dr. Shakespeare designed an experiment in which he randomly and evenly assigned 15 people to three groups. He gave one group nothing, gave the second group a little money, and gave the third group a lot of money. The next day, he asked each group to report their happiness on a mood scale (0-100 with a higher score indicating happier mood). The first group reported an average of 80, the second 90, and the third group 85.  Using the SS totalprovided in the following table to examine if the amount of money has an effect on the perceived happiness (make sure to fill out the ANOVA table). If yes, how? (14pts)

QUESTION 1

1. Perform an Fmax test on the following 2 samples, and then choose the correct statement.
   
   Sample A: 8, 6, 8, 6, 8, 6 (M = 7, n = 6)
   Sample B: 12, 10, 10, 16, 12, 12 (M = 12, n = 6)

   		Fmax = 4.0, and since the critical Fmax value is 7.15, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 3.54, and since the critical Fmax value is 7.15, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 3.54, and since the critical Fmax value is 1.96, you conclude that the data violates the homogeneity of variance assumption.
   		Fmax = 4.0, and since the critical Fmax value is 7.15, you conclude that the data violates the homogeneity of variance assumption.

2. Perform an Fmax test on the following 2 samples, and then choose the correct statement [G&W Chp10].
   
   Sample A: 7, 5, 8, 7, 7, 7, 8, 7 (M = 7, n = 8)
   Sample B: 16, 8, 12, 10, 10, 16, 12, 12 (M = 12, n = 8)

   		Fmax = 8.0, and since the critical Fmax value is 4.99, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 8.0, and since the critical Fmax value is 4.99, you conclude that the data does not meet the homogeneity of variance assumption.
   		Fmax = 9.33, and since the critical Fmax value is 8.89, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 9.33, and since the critical Fmax value is 4.99, you conclude that the data does not meet the homogeneity of variance assumption.

3. Standard error for the Independent-measures t-test relies on pooled variance taken by adding the sum of squares from the two sample groups together . true or false

A researcher would like to find out whether a man's nickname affects his cholesterol reading (though it is not clear why she believes it should). She records the cholesterol readings of 10 men nicknamed Sam, 10 men nicknamed Lou and 10 men nicknamed Mac; her data appears in the table. She wants to know whether there is a difference in cholesterol levels in men with these 3 nicknames. Present all appropriate statistical test need to determine if a difference exists. Provide all your proofs. The data have been tested and are considered normally distributed.

The following data show the annual revenue ($ millions) and the estimated team value ($ millions) for the 30 Major League Baseball teams (Forbes website, January 16, 2014).

1. Write the regression equation.

2. Interpret the regression constant and regression coefficient.

3. Forecast a value for the dependent variable, test the significance of the regression coefficient at an alpha level of .05. Test the overall significance of the regression model, and Interpret the coefficient of determination.

5. Are there any indications of violations of the general linear model? You must address each assumption separately and explain.

A hospital director is told that 55% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is less than the expected percentage. A sample of 360 patients found that 180 were insured. At the 0.02 level, is there enough evidence to support the director's claim? Step 1 of 6: State the null and alternative hypotheses Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 6: Specify if the test is one-tailed or two-tailed. Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H0. Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis. Step 6 of 6: State the conclusion of the hypothesis test.

The following data represents a distribution of speeds at which individuals were traveling on a highway:

64 76 65 67 67 80 79 73 65 68 64 67 68 70 65 70 72 65 62 64

A) Organize the data above into a frequency distribution with frequency (f) and relative frequency (rf)) columns.

B) Organize the data above into a class interval frequency distribution with 10 intervals and frequency (f) and relative (rf) columns.

C) Which type of figure should be used to represent these data--- a bar graph, histogram, or frequency polygon? Why? Draw the appropriate figure for these data.

D) Differentiate a qualitative variable from a quantitative variable.

E) Explain when it would be appropriate to use a bar graph versus a histogram.

An urn contains 11 white balls and 5 black balls.
A simple random sample with replacement (wr) of size: n = 2
is drawn from the urn.
Calculate the probability that the sample contains one ball of each color.

at least four decimal places.