Problem #7: In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.3, 98.6, 98.7, 97.4, 98.2 (a) Find the value of the test statistic. (b) Find the 1% critical value. (c) Minitab 17 Work through this example on Minitab, and then use Minitab to find the p-value for the relevant hypothesis test. (d) Since the sample size is less than 30, the above analysis requires that the population follows a normal distribuiton. What method could be used to check this assumption? (A) One-sample t-test for a population mean. (B) check to see if the answer in (a) is greater than or equal to the answer in (b). (C) Check to see if the p-value in (c) above is greater than .10. (D) Draw a normal probability plot, and see if the points fall close to a straight line. (E) Draw a normal probability plot, and see if the points are bell-shaped (like the normal curve). (F) check to see if the answer in (a) is less than the answer in (b). (G) Check to see if the p-value in (c) above is less than the α value. (H) One-sample z-test for a population mean.