AP Statistics Quiz 2.1 Name: For more than a century, doctors have been telling patients that a normal body temperature is 98.6 F. This value dates back to a study done by Carl Wunderlich in the mid-1800s. More recently, researchers conducted a study to determine whether the "accepted" value for normal body temperature is accurate. They collected body temperatures (in degrees Celsius) from 130 healthy individuals. A dotplot and numerical summaries of the data are given below. 35.5 36.0 36.5 370 Temperature (C) 375 38.0 38.5 Variable Count Mean SE Mean StDev Minimum Qi Median Q3 Maximum Temp 130 36.805 0.036 0.408 35.700 36.550 36.850 37.050 38.200 (a) Mr. Withey's temperature is at the 20th percentile of the distribution. Interpret this value in context. (b) What was Mr. Withey's temperature? Use the fact that F = (9/5)(C) + 32 to help you answer the following questions. (c) Find the mean temperature in degrees Fahrenheit. What does this suggest about the value of the "normal" body temperature? (d) Calculate the standard deviation of the temperature readings in degrees Fahrenheit. Starnes/Tabor, Updated Version of The Practice of Statistics, 6/e 2020 BFW Publishers Inc. 2. The cumulative relative frequency graph below shows the distribution of lifespans for 39 U.S. presidents. Cumulative relative frequency (%) 100 80 80 60- 40 40 20 20 0 50 60 70 80 90 -86 Lifespan (years) (a) What is the median lifespan for U.S. presidents? Mark directly on the graph to show how you arrived at your answer. (b) The mean lifespan is 71.45 years, and the standard deviation is 12.35 years. President Ronald Reagan lived to be 93 years old. Calculate and interpret his z-score. (c) The mean lifespan is 71.45 years, and the standard deviation is 12.35 years. Mr. Rodriguez would like to know how many days, on average, presidents tend to live beyond their 70th birthday. Find the mean and standard deviation of the transformed data. Note: There are 365 days in a year. Starnes/Tabor, Updated Version of The Practice of Statistics, 6/e 2020 BFW Publishers Inc.