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A population of aardvark have lengths that follow a normal distribution with mean 35” and standard...

  1. A population of aardvark have lengths that follow a normal distribution with mean 35” and standard deviation of 4.1”.
  2.   What percent of the population have lengths of at most 31”?
  3. What percent of the population have lengths of at least 42”?
  4. What percent of the population have lengths between 31” and 42”?
  5. What length would represent Q1 for this population?
  6. What length would represent Q3 for this population?
  7. What length would represent the cutoff for the longest 10% of the population? Hint same as 90th percentile.
  8. A sample of size 36 is now taken from this population.
  9. What percent of means from samples of size 36 have lengths of at most 36.5”?
  10. What percent of means from samples of size 36 have lengths between 36.5” and 37”?
  11. For samples of size 36 drawn from this population what mean length would represent the 90th percentile?
Math   Statistics-And-Probability   
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