Math  /  Data & Statistics

QuestionA large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in n=103,xˉ=98.19Fn=103, \bar{x}=98.19^{\circ} \mathrm{F}, and s=0.617F\mathrm{s}=0.617^{\circ} \mathrm{F}. It is commonly believed that humans have a mean body temperature of 98.6F98.6^{\circ} \mathrm{F}. If the analysis is repeated with a different sample and it is found that for 100 randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded about the assumed mean of 98.6F98.6^{\circ} \mathrm{F} ? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean \square so there \square strong evidence against the assumed mean of 98.6F98.6^{\circ} \mathrm{F}. It appears the population mean \square 98.6F98.6^{\circ} \mathrm{F}

Studdy Solution
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean *is not significant* so there *is not* strong evidence against the assumed mean of 98.6F98.6^\circ \mathrm{F}.
It appears the population mean *could be* 98.6F98.6^\circ \mathrm{F}.

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