Here are the daily average body temperatures (in degrees Fahrenheit) for 20 healthy adults: 98.74 98.83 96.80 98.12 97.89 98.09 97.87 97.42 97.30 97.84 100.27 97.90 99.64 97.88 98.54 98.33 97.87 97.48 98.92 98.33 Suppose that body temperature varies with a standard deviation of 0.7 degree. Do these data give evidence that the mean body temperature for all healthy adults is not equal to the traditional 98.6 degrees? a) What assumptions/ conditions do you need to carry out this test? b) Carry out the test and clearly state conclusions. Use a significance level of 0.05.
Added by Ruben R.
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- The population standard deviation is known (0.7 degree). - The distribution of body temperatures is approximately normal. Show more…
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It has long been stated that the mean temperature of humans is 98.6
David N.
It is commonly believed that the mean body temperature of a healthy adult is 98.6 ∘ F . You are not entirely convinced. You believe that it is not 98.6 ∘ F . You collected data using 53 healthy people and found that they had a mean body temperature of 98.29 ∘ F with a standard deviation of 1.01 ∘ F . Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is < 98.6 ∘ F . a) Identify the null and alternative hypotheses? H 0 : ? H A : ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to 3 decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal
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