(10 points) 5. Suppose that you record body temperatures (in degrees Fahrenheit) for a random sample of 130 healthy adul

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10 Points 5 Suppose That You Record Body Temperatures In Degrees Fahrenheit For A Random Sample Of 130 Healthy Adul 1 (59.84 KiB) Viewed 21 times

(10 points) 5. Suppose that you record body temperatures (in degrees Fahrenheit) for a random sample of 130 healthy adults. Also suppose that the population mean body temperature is 98.6 and that the population standard deviation of body temperatures is 0.7. Let X represent the sample men of the 130 body temperature measurements. a. ( pts) Describe the sketch of the (approximate) sampling distribution of Xo, by providing the shape, the mean (center), the standard deviation of the sampling distributions (the variability) b. (3 pts) Determine the value of k such that P(98.6 - * < X < 98.6 + k) = 95. Show how you determine the value k. c. (pt) What would happen to the value of k in part b) if the sample size were larger? d. (9 pts) Determine the sample size needed for P(98.68 < X < 98.62) = -95 (Hint: Determine the margin of error first)