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Question 1: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 88 inches, and a standard deviation of 10 inches. What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 90.8 inches?

Question 2: A final exam in Statistics has a mean of 73 with a standard deviation of 7.73. Assume that a random sample of 24 students is selected and the mean test score of the sample is computed. What percentage of sample means are less than 70

Question 3: A mean score on a standardized test is 50 with a standard deviation of 10. Answer the following

  • What scores fall between 1 and +1 standard deviation?
  • What percent of all scores fall between 1 and +1 standard deviation?
  • What score falls at +2 standard deviations?
  • What percentage of scores falls between +1 and +2 standard deviations?

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