Recent studies of the private practices of physicians suggestedthat the median and mean length of each patient visit was 25minutes. A random sample of 17 visits to physicians in a certainprivate practice produced the visit lengths provided in the Excelspreadsheet. A researcher wants to use this data to determine ifthe median visit length of patients in this certain privatepractice is less than the recent study’s suggested median of 25minutes. Using Minitab or other statistical software: 1. Conduct asign test to answer the researcher’s question. Include relevantoutput from Minitab and use a significance level of α = 0.05. 2.How would your conclusion have changed if you used a significancelevel of α = 0.10? What does this say about your conclusion reachedin part 1? 3. This test was to determine whether or not the medianvisit time was less than the time in the study. Do you think thatthe use of the median was appropriate in this case for the sampledata set or could you have used a z-test for the mean? Answer thisquestion by preparing a box plot and assessing the normality of thedata set and explaining your conclusion.
| Length of Visit |
| 16.2 |
| 18.1 |
| 18.7 |
| 18.9 |
| 19.1 |
| 19.3 |
| 20.1 |
| 20.4 |
| 21.6 |
| 21.9 |
| 23.4 |
| 23.5 |
| 25.5 |
| 26.9 |
| 27.4 |
| 38.1 |
| 37.2 |
