Let X = body temperature in degrees Fahrenheit of a randomly selected person. Does X meet the criteria for a random variable? Explain. If so, would X be a discrete or continuous random variable?
If human body temperatures in the United States are normally distributed with a mean of 97.5 and standard deviation of 0.7, calculate P(X > 97). Show your work, including calculator input, function, and output.
If human body temperatures in the United States are normally distributed with a mean of 97.5 and standard deviation of 0.7, use a probability cut-off of 0.05 to determine if it would be unusual for a person to have a body temperature less than 96 ̊ F. Show all work.
If human body temperatures in the United States are normally distributed with a mean of 97.5 and standard deviation of 0.7, find the 99th percentile of these body temperatures.
We want to construct a 95% confidence interval for the mean body temperature of college students. Consider the sample of body temperatures we collected at the beginning of the semester. Have the assumptions to construct a confidence interval been met? Explain.
Pretend our sample data values were from a simple random sample.a. Construct a 95% confidence interval for the mean body temperature of college students. Show all your work including calculator input, calculator function and output.
b. Use a complete sentence to interpret this confidence interval.
c. Recent studies suggests that the mean body temperature of humans is less than 98.6 ̊ F. Based on the confidence interval, is it reasonable that the mean body temperature of college students is less than 98.6? Explain.
If we use a previous study that suggests σ = 0.7 ̊ Fahrenheit for the population of college students in the United States, what sample size is necessary to construct a 95% confidence interval for the body temperature of college students so that it will have a margin of error of 0.2 ̊ F?
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