HCS 438 Week 4 Quiz 1. � Which of the following statements are correct? a. � A normal distribution is any distribution that is not unusual. b. � The graph of a normal distribution is bell-shaped. c. � If a population has a normal distribution, the mean and the median are not equal. d. � The graph of a normal distribution is symmetric. Using the 68-95-99.7 rule: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities: Suggest you make a drawing and label first”� a. � Percentage of scores less than 100 b. � Relative frequency of scores less than 120 c. � Percentage of scores less than 140 d. � Percentage of scores less than 80 e. � Relative frequency of scores less than 60 f. � Percentage of scores greater than 120 2. � Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers). a. � If you have a body temperature of 99.00 °F, what is your percentile score? b. � Convert 99.00 °F to a standard score (or a z-score). c. � Is a body temperature of 99.00 °F unusual? Why or why not? d. � Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower? e. � A person’s body temperature is found to be 101.00 °F. Is the result unusual? Why or why not? What should you conclude? f. � What body temperature is the 95th percentile? g. � What body temperature is the 5th percentile? h. � Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. What percentage of normal and healthy adults would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6 °F is appropriate?
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