STATISTICS - FINAL EXAM
MRS. DONNA TUPPER

Answer ALL questions and show ALL work to be graded. NO CREDIT WILL BE GIVEN FOR ANSWER ONLY RESPONSES.

1.  Assume that a sample consisting of n pairs of data result in an r value as listed below.  Given a significance level of 0.05, determine whether there is a significant linear relationship.

a] n = 8, r = 0.812

b] n = 15, r = 0.516

c] n=  75, r = 0.444

d] n = 10, r = -0.700

2. In a 1965 report, Lea discussed the relationship between mean annual temperature and the mortality rate for a type of breast cancer in women. The data below contains the mean annual temperature (in degrees F) and Mortality Indes for neoplasms of the female breast. (Information obtained from http://lib.stat.cmu.edu/DASL/Stories/Breastcancer.html)

(a) Find the value of the linear correlation coefficient r.
(b) Find the equation of the regression line.
(c) Is there a significant linear correlation between the mortality and temperature? Explain.
(d) Find the centroid.
(e) What is the predicted temperature for a person with a mortality rate of 100.0?
(f) Draw the scatter diagram for the data in question 1.


3. The table below summarizes the relationship between age (in months) and the mean heights of a group of children in an Egyptial village that is the site of a study of nutrition in developing countries. The data was obtained from http://lib.stat.cmu.edu/DASL/Datafiles/Ageandheight.html They got the information from David S. Moore and George P. McCabe's Introduction to the Practice of Statistics, p. 118.

(a) Find the value of the linear correlation coefficient r.
(b) Find the equation of the regression line.
(c) Is there a significant linear correlation between the age and height? Explain.
(d) Find the centroid.
(e) What is the predicted height for a person who is 20 months old?
(f) Draw the scatter diagram for the data in question 2.

4.  An analysis of gender vs. passing rate for a particular test was performed.  The output of the analysis is below.  Based on the output below, at the 0.05 level of significance, test the claim that gender is independent of the passing rate.

5.  A drug was developed that was suppose to reduce furballs in cats.  A potential side effect of the drug is fever.  Listed below is a contingency table relating the treatment to the reation of a fever.  At the 0.05 level of significance, test the claim that the treatment is independent of the side effect.

6.  Below is the result of an analysis of variance from a TI-83.  There were samples of size 10 taken from readers of three different magazines.  Their reactions to a magazine advertisement were measured.  At the 0.05 level of significance, test the claim that readers of the three different magazines had the same mean reaction to the advertisement.

7.  Test grades from three different groups of math students are recorded below.   Test the claim that the average test scores are the same for each of the three groups are the same.