[Solution] We have TABLE 2 18-22 23-26 27-30 31+ Male 10(2.0) 12(1.5) 8(1.0) 20(2.5) Female 18(0.5) 15(5.0) 16(2.0) 9(4.5) Table 2 contains information


Question: We have

TABLE 2 18-22 23-26 27-30 31+
Male 10(2.0) 12(1.5) 8(1.0) 20(2.5)
Female 18(0.5) 15(5.0) 16(2.0) 9(4.5)

Table 2 contains information with group means and standard deviations: M(SD). Using this information and assuming a normal distribution, answer the following questions (15 points).

  1. Which group had the highest overall average? Which group had the lowest overall average?
  2. Which group had the most dispersion, which group had the least dispersion?
  3. If an 18-year-old male achieved a score of 14, what is his z-score?
  4. If a 25-year-old female achieved a score of 22.5, what is her T-score?
  5. Francine achieved a raw score of 18 and scored within the 50th percentile. How old is she?
  6. Jared achieved a raw score of 10 and fell within the 97th percentile. How old is he?
  7. Find the raw scores for the following individuals:
  1. 22-year-old male in the 16th percentile
  2. 34-year-old female in the 99th percentile
  3. 28-year-old male in the 95th percentile
  4. 20-year-old female in the 1st percentile
  5. 25-year-old male with a T-score of 30

viii. Between what two scores would we expect to find 95% of all females between the ages of 27-30?

ix. Between what two scores would we expect to find 99% of all males between the ages of 18-22?

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