Give a confidence interval for mean oral temperature

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Reference no: EM131396761

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.

Reference no: EM131396761

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