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.

One hundred blood samples were taken from 100 individuals. All of the blood samples were run through two machines to determine if the machines were testing samples appropriately. We expect that both machines should yield similar results. Below are the results of the analysis. Assume there are 100 sample and they are normal. Are the two machines similar? Should we check into whether one machine should be replaced? Show all of your work.

Use the given statistics to complete parts​ (a) and​ (b). Assume that the populations are normally distributed.

Population 1 Population 2

n=24 n=17

x=47.4 x=42.2

s=6.2 s=9.7

​(a) Test whether μ1>μ2 at the α=0.05 level of significance for the given sample data. ​

(b) Construct a 99% confidence interval about μ1−μ2.

Scores on an aptitude test are known to follow a normal distribution with a standard deviation of 32.4 points. A random sample of 12 test scores had a mean score of 189.7 points. Based on the sample results, a confidence interval for the population mean is found extending from 171.4 to 208 points. Find the confidence level of this interval.

Margin of Error (ME)= ?

Z-Score (Z-a/2)= ?

Confidence Level= ?

The intelligence quotients of 400 children have a mean value of 100 and a standard deviation of 14. Assuming that I.Q.’s are normally distributed, determine the number of children likely to have I.Q.’s of between

(a) 80 and 90,

(b) 90 and 110 and

(c) 110 and 130.

Suppose you start up a company that has the developed a drug that is supposed to increase IQ.   You know that the standard deviation of IQ in the general population is 45. You test your drugs on 36 patients and obtain I mean IQ of 103. Using a alpha value of 0.05, is this IQ significantly different from the population mean of 100?

Which hypothesis test is appropriate? Match. THESE are all connected. AN)VA, chi square, f test for two variances, one sample left tailed t, one sampled right tailed t

1.Research shows that there is one critical dimension on yo-yos. If the dimension falls within a certain range of values, it drastically improves yo-yo performance. You have some ideas for manufacturing processes which will keep the mean value of that dimension the same, while potentially reducing the standard deviation. You want to compare these processes to the current process.

2.Research shows that there is one critical dimension on yo-yos. If the dimension falls within a certain range of values, it drastically improves yo-yo performance. You have some ideas for manufacturing processes which will keep the mean value of that dimension the same, while potentially reducing the standard deviation. You want to compare these processes to the current process.

3. You poll people across the USA (across 5 regions), asking their favorite brand of soda (coca-cola, diet-coke, pepsi, diet-pepsi etc.). You want to understand if soda preference is independent of region.

4.You want to understand if the mean weight of 10-year-old boys in your town is greater than the national average.

5.You own a major corporation with franchise locations. There are five franchise owners, which each own more than 100 stores. You want to understand if there is a statistically significant difference in mean profit across these stores by franchise owners.