1. Suppose X has a Normal distribution with mean µ= 50 and standard deviation σ = 8.

1. What percent of X is between 42 and 58?

2. What percent of X is greater than 66?

3. What is the value of X for which 10% of the distribution is less?

4. Determine the 35^th percentile.

please answer all questions

1. The primary purpose of Pearson’s Correlation Coefficient is?

1. to measure the strength of a linear relationship between two variables
2. draw a Scatterplot
3. find Residual values
4. transform a linear relationship between two variables to a curved relationship

2. A Scatterplot is used to:

1. visually represent bivariate data
2. identify correlation data patterns
3. determine cause-and-effect relationships
4. answers A and B

3. What is the symbol for coefficient of determination?

A.    c            

B.    r²

C.    d            

D. None of the above

4. What is the symbol for correlation of coefficient?

1.   r
2. d
3. c
4. None of the above

5. A scatterplot is:

1. a graph on the coordinate plane that contains on point for each pair of data
2. an explanatory variable
3. negative slope
4. a response variable

6. If the likelihood of one outcome is not affected by the occurrence of another outcome, the outcome is:

1. Similar
2. Relational
3. Dependent
4. Independent

RESEARCH QUESTION: Can a daughter’s height be predicted from a mother’s height?

Use the following data to answer the questions.

Using your calculator.

7. What is the linear correlation coefficient value?

1. 0.00
2. 0.90
3. 0.47
4. 0.27

8. What is the coefficient of determination value?

1. 0.22
2. 0.99
3. 0.47
4. 0.90

9. What is the “line of best fit” formula with values from your calculator using y = ax + b

1. y = 0.27 x + 46.30
2. y = 0.47 x + 46.30
3. y = 0.27 x + 49
4. None of the above

10. Using the formula of “line of best fit” found in question #9, if the mother’s height is x = 60 inches, what is the daughter’s height in inches?

1. 80.4 inches
2. 75.0 inches
3. 62.5 inches
4. 36.9 inches

Q. It was thought that at a particular point in time 15% of the rabbit population in a region was infected by RHDV1-K5 virus. At the time a researcher trapped 25 rabbits from this region and had each tested to see if it carries virus. The number of rabbits in this sample with the virus is denoted by V.

a) Write down the possible values of V.

b) State a suitable distribution for V and provide the parameter(s) for the distribution.

c) Determine the Expected value of V and interpret this value in context to the research.

d) USe and show manual calculation to determine the probability that at least 2 rabbits have the virus.

e) It transpired that 20 of the rabbit did in fact carry the virus. Use R commander to determine the probability that 20 or more rabbit will have the virus.

f) Considering your answer to part e), say if this casts doubt on the original understanding of the prevalence of the virus in this region at that point in time. Give brief explanation.  

Two Way ANOVA

A mechanical engineer is studying the thrust force developed by a drill press. He suspects that the drilling speed and the feed rate of the material are the most important factors. He selects four feed rates and uses a high and low drill speed chosen to represent the extreme operating conditions. He obtains the following results.

Analyze the data (TWO WAY ANOVA) and draw conclusions. Use a = 0.05.

DO HYPOTHESIS TESTING and show steps how to insert data into EXCEL.

Discuss the progression of statistics and probability from ancient times to modern times including a discussion of the uses of statistics and probability prior to the foundations in the 16^th and 17^th centuries.

d. A travel agency is frequently asked questions about tourist destinations. For
example, customers want to know details of the climate for a particular month,
the population of the city, and other geographic facts. Sometimes they request
the flying time and distance between two cities. The manager has asked you to
create a database to maintain these facts.

The authors of the paper "Age and Violent Content Labels Make Video Games Forbidden Fruits for Youth" carried out an experiment to determine if restrictive labels on video games actually increased the attractiveness of the game for young game players.† Participants read a description of a new video game and were asked how much they wanted to play the game. The description also included an age rating. Some participants read the description with an age restrictive label of 7+, indicating that the game was not appropriate for children under the age of 7. Others read the same description, but with an age restrictive label of 12+, 16+, or 18+.

The paper gave data for 12- to 13-year-old girls. Data consistent with summary values in the paper are shown below.

Do the data provide convincing evidence that the mean rating associated with the game description for 12- to 13-year-old girls is not the same for all four age restrictive rating labels? Test the appropriate hypotheses using

α = 0.05.

Calculate the test statistic. (Round your answer to two decimal places.)

F = ______________

When does one know that a sample size is adequate? Can one be too small or too big? Can they be biased? What are you looking for when you see a report and must determine if the information presented is good information or just junk?

1. Please describe the difference between a within subjects and between subjects variable. In addition, please provide detailed and specific explanations of original and unique examples for each of the following factorial designs (a-c below are worth 1 point each):
2. 1. a 2 x 3 Mixed Factorial Design
   2. a 3 x 3 Repeated Measures Factorial Design
   3. a 2 x 2 Between Subjects Factorial Design

Explain how during the past Presidential election how so many statisticians got the projections of the elections wrong?

What are the statistics used to summarize categorical data?

Seventy million pounds of trout are grown in the U.S. every year. Far-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 36 farm-raised trout is selected. The mean fat content for the sample is 31.8 grams per pound. Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 36 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

What are the assumptions and advantages of nonparametric methods?

What are the characteristics of chi-square distributions?