In: Statistics and Probability
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, 98.6, 98.6, 98.5, 97.6, 98.2 |
(a) | Find the value of the test statistic. |
(b) | Find the 1% critical value. |
(c) | find p-value |
(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) check to see if the answer in (a) is greater than or equal to the answer in (b). (B) One-sample z-test for a population mean. (C) Check to see if the p-value in (c) above is less than the α value. (D) Draw a normal probability plot, and see if the points are bell-shaped (like the normal curve). (E) check to see if the answer in (a) is less than the answer in (b). (F) One-sample t-test for a population mean (G) Check to see if the p-value in (c) above is greater than .10. (H) Draw a normal probability plot, and see if the points fall close to a straight line |