In the same study as was mentioned in the previous two exercises, data were also collected on 65 healthy female volunteers aged 18 to 40 that were participating in the vaccine trials. Th e data set Female Temps consisting of body temperatures from the 65 females is available from the textbook website. You will use the data to investigate whether the average body temperature of healthy adult females is different from 98.6°F.
a. Write out the null and alternative hypotheses in words or in symbols.
b. The 2.2.24 dotplot shows the 65 body temperatures above. Based on this dotplot, does it appear the average body temperature is different than 98.6°F? How are you deciding?
c. Th e sample mean body temperature for the 65 females in our sample is 98.39°F and the standard deviation is 0.743°F. Use the Theory-Based Inference applet to find and report a standardized statistic (t-statistic) and a p-value for the test.
d. Based on your p-value, write out a conclusion, being sure to include justification.

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97 100 96 98 99 101 Body temperatures