POLS625

Assignment 15

Hypothesis Testing: One Sample

Dr. Nishikawa

 

1. A random sample of 26 local sociology graduates scored an average of 458 on the GRE advanced sociology test with a standard deviation of 20. Is this significantly different from the national average of 440? (Use two-tail, a=0.05)

 

2. Nationally, the population as a whole watches 6.2 hours of TV per day with a standard deviation of .7. A random sample of 1017 senior citizens report watching an average of 5.9 hours per day. Is the difference significant? (Use two-tail, a=0.05)

 

3. A researcher was interested in the GPAs of athletes. He found that in his sample of 350 athletes, the average GPA was 2.9. He knows the overall average GPA is 3.1 with a standard deviation of 2.3. Is there a significant difference between athletes and the rest of the population? (Use two-tail, a=0.05)

 

4. The average years of education for a sample of 50 CEOs of the top corporations is 17.5 years, with a standard deviation of 1.2 years. The overall average years of education is 13.4 years. Is the difference significant? (Use two-tail, a=0.05)