Question

Aa patient at a hospital has their temperature taken 15 times in a single day. The results (in degrees Fahrenheit) are shown below. 99.3 100.4 100.0 99.5 100.4 100.3 101.1 100.0 98.5 101.9 98.7 98.9 101.9 99.3 100.3

(a) Determine the mean and standard deviation of this sample.

(b) Construct a level 90% confidence interval for the patient’s mean temperature that day.

(c) Is there sufficient evidence to conclude that the patient’s temperature is above normal (98.6◦ )? Carefully state null an alternative hypotheses, calculate a p-value, and make a decision at significance level α = .05. State your conclusion in ordinary language.

Answer 1