A data set includes 106 body temperatures of healthy adult humans, with a mean of 98.7 degrees Fahrenheit (°F) and a standard deviation of 0.63 degrees Fahrenheit (°F). Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6 degrees Fahrenheit (°F) as the mean body temperature? What is the confidence interval estimate of the population mean μ? °F < μ < °F (Round to three decimal places as needed.)
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The margin of error (E) can be calculated using the formula: \[ E = Z \times \frac{\sigma}{\sqrt{n}} \] where: - \( Z \) is the Z-score corresponding to the confidence level of 99%, which is 2.576. - \( \sigma \) is the standard deviation, which is 0.63. - \( n \) Show more…
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