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Ada a set ind des 11 body ter peratures of hear y adult hun ans havrg a mean of

ID: 3313382 • Letter: A

Question

Ada a set ind des 11 body ter peratures of hear y adult hun ans havrg a mean of 98 1.Fad a standard de aar of healthy humans. What does the sample suggest about the use of 98.6'F as the mean body temperature? Click here to view a t distribution table. Click hero to vepage 1 of the standard norma' dstreston table. Click bere to view page 2 of the standard normal distribution table What is the confidence interval estimate of the population mean ? 64FConst d a 99% fa center ai est amofthe mean body pratnda Round to three decimal places as needed) What does this suggest about the use of 98.6 F as the mean body temperature O A. This suggests that the mean body temperature could very possibly be 98 6 F B. This suggests that the mean body temperature could be lower han 98 "F ° C. This suggests that the mean body temperature could be higher ran 98 "F.

Explanation / Answer

sample size i.e n = 100

sample mean i.e x = 98.1

sample standard deviation i.e s = 0.64

standard deviation of population mean = s/n0.5 = 0.64/1000.5 = 0.64/10 = 0.064

99% confidence interval of normal distribution is (mean-2.58*sd, mean+2.58*sd)

99% confidence interval of mean body temperature is (98.1 - 2.58*0.064, 98.1 + 2.58*0.064)

i.e (97.9349 oF, 98.2651 oF)

98.6oF is to the right of of 99% confidence interval so this suggests that mean body temperature could be lower than 98.6oF

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