College

Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. If a sample of size [tex]n = 106[/tex] is randomly selected, find the probability of getting a mean temperature of 98.2 degrees F or lower.

Answer :

the probability of getting a mean temperature of 98.2 or lower is 0.259

Obtaining the Z-score

  • Z-score = (x - mean)/ standard deviation
  • x = 98.2
  • Mean = 98.6
  • standard deviation = 0.62

Z-score = (98.2-98.6)/0.62= -0.645

Using a standard normal distribution table or a Z-probability calculator:

  • P(Z ≤ -0.645) = 0.259

Hence, the probability of getting a mean temperature of 98.2 or lower is 0.259

Learn more on Zscore :brainly.com/question/25638875

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