es.  Use this information to answer the questions. In the theoretical normal population, what percent of raw running times are greater than or equal to 260 AND less than or equal to 300?  In the theoretical normal population, what raw running time would 95% of the times be shorter than?  In the theoretical normal population, what raw running time would 20% of the times be shorter than?  In the population, what raw running time is 2.5 standard deviations

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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Assume that the average time to run a marathon in the population is 278 minutes with a standard deviation of 63 minutes.  Use this information to answer the questions.

  1. In the theoretical normal population, what percent of raw running times are greater than or equal to 260 AND less than or equal to 300? 
  2. In the theoretical normal population, what raw running time would 95% of the times be shorter than? 
  3. In the theoretical normal population, what raw running time would 20% of the times be shorter than? 
  4. In the population, what raw running time is 2.5 standard deviations below the mean?  What is the percentile of this time? 
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