13.7. Statistical Testing of Adjusted Data

Try these first

1. 1.

   What is the formula for the Chi-Square test?

   Hint

   Focus on the role of residuals and their variances.

2. 2.

   Define an outlier.

   Hint

   Think about unusual data points that don't fit well.

3. 3.

   What does a Chi-Square test evaluate?

   • The difference between means
   • Goodness-of-fit
   • Variances between groups

   Hint

   Think about fitting data to models.

4. 4.

   True or False: The t-Test is used for comparing the variances of two groups.

   • True
   • False

   Hint

   Remember the primary function of each test.

5. 5.

   You have an adjusted dataset with residuals showing: [0.5, 0.6, -0.3, -0.1, 0.2]. Calculate the Chi-Square statistic and determine if it's within an acceptable range under hypothesis testing.

   Hint

   Start with the squared residuals and ensure you adjust the sum correctly.

6. 6.

   Given two groups: Group A with samples [2, 3, 4] and Group B with [4, 5, 6], perform a t-Test to determine if their mean values are significantly different.

   Hint

   Pay attention to sample size as it influences the critical values.