Show all of your work The average dress size for women in the United States is 14, with a standard deviation of 6. However, a recent sample of 49 women revealed an average dress size of 16. Conduct an appropriate statistical test at alpha = .05 to determine whether the mean dress size in the sample significantly differs from the population norm. 1. State hypotheses (H0 and H1) - 5 points 2. Select appropriate statistical test - 5 points 3. Indicate if 1 or 2 tailed test - 2 points 4. Specify alpha, N, and df (if appropriate) - 3 points 5. Use appropriate formula to calculated observed/obtained value - 10 points 6. Determine critical value for test statistic (from a table) - 5 points 7. Compare observed & critical values, make decision (Reject H0 or Fail to Reject H0) - 10 points 8. State conclusion (i.e., interpretation of results) in words - 10 points In this year's Orlando donut eating contest, 36 entrants ate, on average, 68 donuts with a standard deviation of 7 donuts. A group of donut enthusiasts believe this to be lower than the population average of 71 donuts consumed in donut eating contests. Test their hypothesis at alpha = .05 1. State hypotheses (H0 and H1) - 5 points 2. Select appropriate statistical test - 5 points 3. Indicate if 1 or 2 tailed test - 2 points 4. Specify alpha, N, and df (if appropriate) - 3 points 5. Use appropriate formula to calculated observed/obtained value - 10 points 6. Determine critical value for test statistic (from a table) - 5 points 7. Compare observed & critical values, make decision (Reject H0 or Fail to Reject H0) - 10 points 8. State conclusion (i.e., interpretation of results) in words - 10 points