Chapter 8: z-Tests and One-Sample t-Tests

Answers for all ‘Test Yourself’ questions from the book to check your performance and widen your overall understanding of the contents.

  1. z-scores represent the difference between a raw score and a sample mean in standard deviation units.  z-statistics represent the difference between a sample mean and a population mean in standard error units.  Both put the raw difference between two values into standardized units, but z-scores do so within a sample while z-statistics do so within the sample distribution.
  2.  
    1. Yes, 26
    2. No
    3. No
  3.  
    1. n = 18
    2. df = 17
    3. α = .01
    4. No, the researcher retained the null and did not find statistical significance.
    5. The sample mean and the population mean described by H0 were 0.90 standard errors apart.
  4.  
    1. Standardized
    2. Unstandardized
    3. Standardized
  5.  
    1. -1.645
    2. ±2.145
    3. ±1.96