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Mathematics, 16.06.2020 22:57 giulianna41
Suppose researchers conducted a study to see if the mean body temperature for adults was different from 98.6 degrees Fahrenheit. For this study, they took a random sample of 25 healthy adults and found a mean body temperature of 98.2 degrees Fahrenheit for the sample with a standard deviation of 0.6 degrees. The temperatures of the sample participants were unimodal and symmetric.
a. Write the null hypothesis and alternative hypothesis and define your parameter.
b. Show that the necessary conditions (Randomization Condition, 10% Condition, Nearly Normal Condition) are satisfied to perform a hypothesis test. Briefly explain how each condition is satisfied.
c. Perform the hypothesis test and find the P-value. (To show your work: Write down which calculator you are using and what values you are entering into the calculator.)
d. Is there strong evidence that the mean body temperature is different than 98.6 degrees? Briefly explain how you know.
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