Statistics and Probability

Problems 4-6 are to be done using traditional and p-value approach to hypothesis testing. Show all of the steps as illustrated in class.Hypothesis Test for a Population Mean Using a Large Sample (n>30) Ho: H = Ho Ha: 1. ul > Ho 2. L a, fail to reject Ho.4. Humerus bones from the same species of animal tend to have approximately the same length-to-width ratios. When fossils of humerus bones are discovered, archaeologists can often determine the species of animal by examining the length-to-width ratios of the bones. It is known that Species A exhibits a mean ratio of 3.5. Suppose 41 fossils of humerus bones were unearthed at an archaeological site in East Africa, where species A is believed to have lived. (Assume that the unearthed bones were all from the same unknown species.) The length-to-width ratios of the bones were calculated and listed, as shown in the table. 10-73 8.89 9.07 9.20I 10.33 9.98 9.84 9.59 8.48 8.71 9.57 9.29 9.94 8.07 8.37 6.85 8.52 8.87 6.23 9.41 6.66 9.35 8.86 9.93 8.91 11.77 10.48 10.39 9.39 9.17 9.89 8.17 8.93 8.80 10.02 8.38 11.67 8.30 9.17 12.00 9.38 Test whether the population mean ratio of all bones of this particular species differs from 8.5. Use ot=.01