In given Problem, test to determine (a) whether or not oral and rectal temperatures are the same; (b) whether mean oral temperature is 37°C. Use α = .05 in both (a) and (b).
Problem
A general physician recorded the oral and rectal temperatures of nine consecutive patients who made first visits to his office. The temperatures are given in degrees Celsius (°C). The following measurements were recorded:
|
Patient Number
|
Oral Temperature (deg °C)
|
Rectal Temperature (deg °C)
|
|
1
|
37.0
|
37.3
|
|
2
|
37.4
|
37.8
|
|
3
|
38.0
|
39.3
|
|
4
|
37.3
|
38.2
|
|
5
|
38.1
|
38.4
|
|
6
|
37.1
|
37.3
|
|
7
|
37.6
|
37.8
|
|
8
|
37.9
|
37.9
|
|
9
|
38.0
|
38.3
|
(a) From this data, what is your best point estimate of mean difference between oral and rectal temperatures?
(b) Give a 95% confidence interval for this difference, and state what the interval means.
(c) Give a 95% confidence interval for mean oral temperature.
(d) Give a 95% confidence interval for mean rectal temperature.