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A researcher at an alcohol treatment center conducted a client satisfaction survey on Treatment methods A, B and C. The researcher divided 10 clients into

A researcher at an alcohol treatment center conducted a client satisfaction survey on Treatment methods A, B and C. The researcher divided 10 clients into 3 groups. Four (4) clients received Treatment A, three (3) clients received Treatment B and three (3) more clients received Treatment C. Two weeks later, client satisfaction levels were measured. The mean satisfaction for the treatment was 10 for Treatment A, 6 for Treatment B and 4 for Treatment C. Table 2 summarizes the results of the analysis of variance for the study.

Table 2: Summary ANOVA of client satisfaction with treatment

Sum of squares (SS) df Mean Square (MS) f
Between Groups ____(13)_____ ____(14)_____ 33 ____(16)____
Within Groups ____(15)_____ 7 5.14
Total 102 9

Based on the study information and Table 2, please answer questions (11) to (18).

  1. List the variables used and state the scale of measurement used for the variables listed.
    • Dependent variable:
    • Independent variable:
    • The measurement scale of the dependent variable:
    • The measurement scale of the independent variable:

  1. Construct the null hypothesis and the choice/alternative hypothesis.
  • Null Hypothesis (H0):
  • Choice/Alternative Hypothesis (H1):
  1. The value of Sum of Squares for between groups is
  2. The degree of freedom between groups is
  3. The value of Sum of Squares for a group is
  4. Value F is
  5. Write a statistical summary of the test according to the American Psychological Association (APA).
  6. Draw conclusions from statistical inference analysis decisions and state whether the null hypothesis may be rejected or fail to be rejected

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