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Q1. The distribution of heart rates for women ages 20-39 is approximately normal with a mean of 70 beats per minute and a standard of

Q1. The distribution of heart rates for women ages 20-39 is approximately normal with a mean of 70 beats per minute and a standard of deviation of 14.2 beats per minute. Source:National Health Statistics Reports, Number 41, August 24, 2011 (Resting Pulse Rate Reference Data for Children, Adolescents, and Adults: United States, 1999-2008).

  1. What is the probability that a woman has a heart rate less than 61 beats per minute? Round your answer to 4 decimal places.
  2. What is the probability that a random sample of 8 women have an average heart rate less than 61 beats per minute? Enter your answer rounded to 4 decimal places.Document how you obtained your answer in the space provided below.
  3. Why did the probability decrease?

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