Suppose you are trying to model the number of teeth in a primate discovered in S

Question

Suppose you are trying to model the number of teeth in a primate discovered in South America. You want to see if the Russek-Cohen distribution fits the data. Below I give you the observed numbers and the expected numbers (based on the Russek-Cohen distribution). Test whether your data follow the Russek-Cohen distribution.   What statistical test will you use?

Question 10

You survey U of MD students to see find out the average number of teeth they have had pulled in their lifetime. You sample mean is 1.7 with a standard deviation of .5 based on 100 responders. Is this significantly less than the US average of 1.9?

Question 11

You want to know if the average number of number of sick days used by University of Maryland professors is significantly less than the national average of 15/year. You randomly sample 40 professors and find that the average is 13.5 sick days with a sample standard deviation of 2.

Question 12

In the United States, 18% of consumers drink Pepsi products. You think the percent of people at the University of Maryland is higher than that since they hold the rights to all the vending machines. You randomly survey 1000 and find that 250 of them prefer Pepsi products. Is the percent of people that drink Pepsi products at the University of Maryland significantly higher than the US average? What statistical test will you use?

Question 13

Dr. Spock want to know if a new drug called Omega significantly decreases the time it takes rats to move through a maze. He has a colony of 100 genetically identical mice. Half are randomly assigned to Omega and half are assigned to a placebo. Test whether the drug decreases the time rats are in the maze.  

Mean time for rats given Omega: 45 seconds with a standard deviation of 5 seconds

Mean time rats given the placebo: 40 seconds with a standard deviation of 2.

What statistical test will you use if the data don't meet the assumption of normality?

Question 14

Is it possible to predict a person's shoe size from their height? For 100 people you collect data on the length of their foot (in cm) and their height (in cm). Assume data meet assumptions

Question 15

You compare the height a person can jump (in cm) before and after drinking an energy drink. Does drinking the energy drink increase height jumped? Assume data meet assumptions

Question 16

Four drugs (A, B, C, D) are being compared to see if they vary in how much they reduce the symptoms of flu. Data meet assumptions of normality. There are 10 experimental units per treatment. What statistical test would you use?

Explanation / Answer

9) Goodness of Fit Test

10) 1 population t test for a mean

11) 1 population t test for a mean

12) 1 population z test for a percent

13) 2 population t test for 2 means

14) Correlation test

15) paired t test

16) ANOVA

11) 1 population t test for a mean

12) 1 population z test for a percent

13) 2 population t test for 2 means

14) Correlation test

15) paired t test

16) ANOVA

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