The Class Mean For The Sample Of 14 Students Who Reported Body Temperatures Turned Out To Be About 98 10 Degrees F With 1 (74.31 KiB) Viewed 11 times
The class mean for the sample of 14 students who reported body temperatures turned out to be about 98.10 degrees F, with an approximate sample standard deviation of 0.47 degrees F. Since the population of body temps is normally distributed, the Central Limit Theorem states that the distribution of sample means of the same size are exactly normally distributed. What this means is that we can use a sample of size less than 30 (in our case n=14) to do a hypothesis test to test the claim that the population mean body temperature is 98.6 degrees F. Use a significance level of 99% to test the claim given above. Use the P-value method and then verify the result using a confidence interval. Write your answers, including all steps, and post them here as a pdf. Bonus (5 points) Would the results on the hypothesis test change if we used a significance level of 99.9%? For credit your answer must be numerically justified and clearly explained. Hints: You should interpret the phrase: population mean body temperature is 98.6 F as, H = 98.6. See Worksheet: Hypothesis Test for a Population Mean when Sigma is Not Known See Example 5 (page 391-392) in the etext.
t (-μ₂) 8 'n n = sample size z = samplemean s = sample standard deviation μ = value given for the population mean in the null hypothesis
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