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(5 points) What is normal? ~ During the mid-nineteenth century, a German physician named Carl Wunderlich used over a million human body temperature readings to
(5 points) What is normal? ~ During the mid-nineteenth century, a German physician named Carl Wunderlich used over a million human body temperature readings to establish a standard "normal" body temperature of 37 degrees Celsius (98.6 degrees Farhenheit). Over time, however, and especially more recently, lower body temperatures have been reported in healthy adults In a time of pandemic illness where fever is a widely reported symptom, experts are advising changes to how we understand "normal" body temperature and what measurements should be considered signs of illness Inspired by the research in this field, Dr. Ochre wants to create a confidence interval to estimate the "normal" body temperature of healthy adults in her urban area. She gathers a random sample of 32 healthy adults and finds a sample mean temperature of 36.21 degrees Celsius with a standard deviation of 1.039. Round all calculated values to 4 decimal places as appropriate. 1. Calculate a 95% confidence interval for the mean body temperature of healthy adults in Dr. Ochre's urban area. 2. If Dr. Ochre wants to estimate the mean body temperature at 95% confidence with a margin of error of no more than 0.4 degrees Celsius, how large a sample size would she need? Use a t* value rounded to three decimal places and the sample information above to calculate your answer. Your answer should be an integer value. n = Dr. White builds on Dr. Ochre's research and, based on the sample data he collects, calculates a standard error of S'E, = 0.183 and a 99% confidence interval for the mean body temperature of healthy adults in his area to be (36.18, 37.2). 3. What is the correct interpretation of the standard error of S Ey = 0.183 that Dr. White calculated? OA. In repeated samples, we would expect our sample mean to be, on average, approximately 0.183 away from the actual population parameter. O B. Any estimate of the sample mean will be wrong 0. 183% of the time. O C. We have little evidence that our confidence interval is valid. O D. In repeated samples, we would expect our sample mean to be equal to the population parameter value of / approximately 0.183% of the time. 4. Assuming Dr. White performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval scenario? Select all that apply. ()A. There is a 99% chance that a different random sample of healthy adults in Dr. White's area would have a sample mean body temperature between 36.18 and 37.2 degrees Celsius. B. Approximately 99% of all healthy adults in Dr. White's area have a body temperature between 36.18 and 37.2 degrees Celsius. OC. We can expect that 99% of confidence intervals created using the same method Dr. White used will contain the mean body temperature for healthy adults in Dr. White's area. OD. We can be 99% confident that the true mean body temperature for healthy adults in Dr. White's area is between 36.18 and 37.2 degrees Celsius. Help Entering Answers Preview My Answers Submit Answers
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