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MATH 130: Test 1 September 24, 2009 Name:
You may use calculators, SPSS, and a table of z-values for this exam. Show all work or state how you got your answer (i.e. using SPSS, calculator, etc.).
- (10 points) The table below shows the points scored by 10 Blues skaters in the 2008- Regular Season. Compute the mean and median of the data. Player Points D. Backes 54 P. Berglund 47 B. Boyes 72 C. Colaiacovo 30 J. Mcclement 26 A. Mcdonald 44 T. Oshie 39 D. Perron 50 A. Steen 28 K. Tkachuk 49
- (10 points) Suppose you spent a week at a gas station and recorded the model year of every car that stopped for gas. Explain why the distribution you would find would be skewed to the left. Make a sketch of what this distribution might look like.
- (10 points) As part of a data base on new births at Sacred Heart hospital, some variables are recorded about each new baby that is born at the hospital. (a) What are the individuals in the study?
(b) Give examples of quantitative and categorical variables that might be recorded for the data base (give two of each).
- (10 points) In a study of exercise, a large group of runners walk on a treadmill for 6 minutes. Their heart rates in beats per minute and the end vary from runner to runner according to the N(104,12.5) distribution. The heart rates for nonrunners after the same exercise have the N(130,17) distribution. (a) What percentage of the runners have heart rates above 130?
(b) What percentage of the nonrunners have heart rates above 130?
- (10 points) Continuing the previous problem.
(a) What range covers the lowest 63% of nonrunner heart rates?
(b) Accurately sketch the distribution of nonrunner heart rates and shade the area cor- responding to the 63% range of heart rates from part (a).
- (10 points) A stemplot of ages of 18 faculty members in the Wilmington State College math department follows. (4—3 represents 43 years)
(a) What is the median age (in years) of the faculty members?
(b) What are the first and third quartiles of the age of faculty members?
(c) The 1.5×IQR rule would identify what age ranges as outliers?
- (10 points) A common definition of “binge drinking” is 5 or more drinks at one setting for men, and 4 or more for women. A campus survey finds that students who binge have lower average GPA than those who don’t. (a) Was this an observational study or an experiment?
(b) Suggest some lurking variables that may be confounded with binge drinking.
Questions 9,10, and 11 use the files LetsGoBlues.sav which contains data on St. Louis Blues hockey players for the 2008-2009 Regular Season. The variables that we will be using are:
G: Goals Scored in 2008-2009 Regular Season by individual. S: Shots on Goal in 2008-2009 Regular Season made by individual. Age: Age of the individual in years.
- (10 points) Make a histogram of Age.
(a) What are the mean and SD of this distribution?
(b) Describe the overall shape of the distribution. (Draw a sketch and describe.)
