***** This is the THIRD time I have submitted this question. If I am missing something, please let me know what I am missing so I can fix it properly. I want to learn how to do these correctly! Thanks in advance***

Temperature (in F) | # of Adults

96.0-96.4 | 2

96.5-96.9 | 4

97.0-97.4 | 13

97.5-97.9 | 21

98.0-98.4 | 38

98.5-98.9 | 33

99.0-99.4 | 15

99.5-99.9 | 2

100.0-100.4 | 1

100.5-100.9 | 1

Mean: 98.24

Std Deviation: 0.75

n=f=130

(a) Perform a hypothesis test to test the claim that the mean body temperature for healthy adults is now different than 98.6F. Use a 0.01 level of significance.

Hypotheses:Standardized Test Statistic: ____________

(show formula and your work)

(b) On the sketch below, show the claimed mean and your sample mean, and shade the region for the p-value. Compute the p-value "manually" (show/explain your work; should not be using TESTS)

• p-value = _______________________

• Conclusion: _________________________

Interpretation (in context):

(c) P-Value Approach.Use a TEST on your calculator to test the same hypothesis as above, using the P-value approach.You don't need to state hypotheses again, nor re-write the interpretation.

TEST used and Inputs:Standardized Test Statistic __________

p-value ____________________

Conclusion ____________________

(d) In the 1996 Shoemaker article, it was suggested that 98.2F is actually the adult mean body temperature. At the 0.01 level of significance, can 98.2F be rejected as the mean? Test this hypothesis using the P-value approach (just as you did in #5).

Hypotheses:Test Statistic: ____________________

p-value ____________________________

Test and Inputs:Conclusion: ___________________________

Interpretation (in context):

(e) Using the sample mean from #2, construct a 99% confidence interval for , the mean body temperature for all healthy adults (2 decimal places).Show all work, or state the TEST and inputs used on the calculator, to get the answer.

Interpret the interval in context in a complete sentence.

Confidence Interval (from (e)) __________________________________________________

(f) In #4 and #5 above, you tested the null hypothesis that = 98.6F.

• What was your conclusion? _______________________________

• Is your conclusion consistent with the confidence interval? ___________Explain.

(f) In #6 above, you tested the null hypothesis that = 98.2.

• What was your conclusion? ______________________________________

• Is your conclusion consistent with the confidence interval? _________________Explain.

(g) Suppose you're asked to write a short article (3-5 sentences) for a publication.The title of the

article is: "Is the Average Normal Body Temperature Really 98.6F?"

Write this as though you were sharing this as a professional article. Write 3-5 sentences defending your position using your work from the lab as evidence.

You may assume your readers understand P-values, confidence intervals, etc.