The human body maintains its internal temperature through thermoregulation, and
ID: 3230506 • Letter: T
Question
The human body maintains its internal temperature through thermoregulation, and a healthy adult has a mean body temperature of 98.6 °F. The processes of thermoregulation begin to deteriorate in older age, making it difficult to diagnose elderly patients who might have an illness. To understand the body temperature of elderly patients, researchers randomly sampled the body temperatures of elderly patients from a large database of medical records where the body temperatures were normally distributed. Conduct a twotailed, onesample ttest to determine whether the mean body temperature of the elderly patients is different from that of a healthy adult using the sample data below (in degrees Farenheit). Use a significance level of =0.05. If the requirements for a ttest have not been met, only answer the first question. Otherwise, answer all eight questions.
96.7,97.1,97.4,97.7,97.9,98.0,98.0,98.3,98.3,98.5
Are the requirements for the one-sample ttest met? Why or why not?
Select the null and alternative hypotheses for the test.
Calculate the onesample tstatistic to two decimal places and the resulting pvalue of the test to three decimal places. You may calculate t by hand if you wish, but you will need software to compute the pvalue.
Select the conclusion of the test at a significance level of =0.05. The researchers_______ the null hypothesis. There is______ to conclude that the mean body temperature of elderly patients is_______ 98.6F
Explanation / Answer
Are the requirements for the one-sample ttest met? Why or why not?
yes as population body temeratuires are normally distributed and sample is random
null hypothesis: mean =98.6
alternate hypothesis: mean 98.6
The researchers must reject the null hypothesis. There is sufficient evidence to conclude that the mean body temperature of elderly patients is different from 98.6
X 96.7 97.1 97.4 97.7 97.9 98 98 98.3 98.3 98.5 mean(X) 97.790 std deviation(S) 0.572 std error =S/(n)1/2 0.1810 t=(X-mean)/std error -4.4748 p value 0.0015Related Questions
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