Question

In: Statistics and Probability

Sample 1:                    {2,4,3,6,7,9,8} Sample 2:                    {

Sample 1:                    {2,4,3,6,7,9,8}

Sample 2:                    {3,7,4,5,9}

  1. Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is no more than 7.
  2. Test the hypothesis that the population from which the Sample 2 was drawn has a mean that is no more than 5.
  3. Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is no more than 10.
  4. Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is at least 8.
  5. Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is no more than 6.
  6. Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is at least 7.
  7. Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is at least 5.
  8. Test the hypothesis that the population from which the Sample 2 was drawn has a mean that is at least 6.
  9. Test the hypothesis that the variances of the two populations from which these two samples were drawn are equal to each other.
  10. Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is 2 units more than the population from which the Sample 2 was drawn.

Solutions

Expert Solution

Notel : Allowed to solve 1 question in one post. (Solved 2 to 4)

Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is no more than 10.

Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is at least 8.

Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is no more than 6.

Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is at least 7.


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