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. Find the mean, median, variance, standard deviation, skewness, minimum, maximum, range, and 95% confidence interval of the population mean for each of the samples.
  2. Construct the 95% confidence interval of the difference of the two population means from which these two samples were drawn.
  3. Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is no more than 7.
  4. Test the hypothesis that the population from which the Sample 2 was drawn has a mean that is no more than 5.
  5. Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is no more than 10.
  6. Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is at least 8.
  7. Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is no more than 6.
  8. Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is at least 7.
  9. Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is at least 5.
  10. Test the hypothesis that the population from which the Sample 2 was drawn has a mean that is at least 6.
  11. Test the hypothesis that the variances of the two populations from which these two samples were drawn are equal to each other.
  12. 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.
  13. Looking at your answers to questions above, what can you say about the (potentially) two populations from which these two samples were drawn? What do you think about the likelihood that these two samples were in fact drawn from the same population? Provide detailed justification for your answer.

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Question 1 has been solved in detail

Sample 1

95% confidence interval using tstat

Sample 2

95% confidence interval using tstat

orchestra answered 1 year ago
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