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EDRM611: Applied Statistics

Homework for Statistics Lesson 10

Answer Completely.
 
Some calculations are required.
Due Thu., July 28, 2005, 10:30:00.000, EDT.
 
Due on the teacher's desk in BH114.
  1. (3 points) An IQ test given to two different groups of high school students produces the following results: group 1 of size 40 has a mean of 112 with a standard deviation of 6 and group 2 of size 60 has a mean of 114 with a standard deviation of 4. (Since the groups are different, should we assume the populations variances are unequal?) Test the null hypothesis of no mean difference against both the one-sided and two-sided alternate hypotheses and report the results as a P-value. At what level of significance can the null hypothesis be rejected?

     

     

     

     

     

     

     

     

  2. (2 points) How does the problem above change if both groups are of size 100?

     

     

     

     

     

     

  3. (3 points) Two secions of a statistics course took a standardized final. Random samples were drawn from each section as follows: Section A: 65, 68, 72, 75, 82, 85, 87, 91, 95; and Section B: 50, 59, 71, 80. State the necessary assumptions about the parent populations in order to use a t-test to check for significant differences between the two samples. Find the appropriate P-value for both a directional and non-direction test for no difference of means. Indicate what common levels of significance bracket these P-values.

     

     

     

     

     

     

  4. (2 points) Compare and contrast the F distribution with the normal and t distributions.

     

     

     

     

     

     

     

     

     

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