Question

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

Answer 1

a) From the given data

b) Critical value of t is 4.032 at 1% los and 5 df

c) P-value = 0.0978

d) Correct answer: Option (F)

conclusion:

If t value < t critical value and P-value > alpha 0.01 so we accept H0