Question
Standard Deviations Sample Sizes Assume Equal Standard Deviations (Pooled) Do Not Assume Equal Standard Deviations (Not Pooled) Study T test statistic Degrees of Freedom P-value
Standard Deviations | Sample Sizes | Assume Equal Standard Deviations (Pooled) | Do Not Assume Equal Standard Deviations (Not Pooled) | |||||||
Study | T test statistic | Degrees of Freedom | P-value | T test statistic | Degrees of Freedom | P-value | ||||
1 | 12 | 10 | 20 | 20 | 1.431 | 38 | 0.1605 | 1.431 | 36.80 | 0.1607 |
2 | 12 | 10 | 50 | 50 | 2.263 | 98 | 0.0258 | 2.263 | 94.91 | 0.0259 |
3 | 6 | 5 | 20 | 20 | 2.863 | 38 | 0.0068 | 2.863 | 36.80 | 0.0069 |
4 | 6 | 6 | 32 | 8 | 2.108 | 38 | 0.0417 | 2.108 | 10.79 | 0.0593 |
5 | 8 | 6 | 20 | 20 | 2.236 | 38 | 0.0313 | 2.236 | 35.24 | 0.0318 |
6 | 8 | 6 | 10 | 30 | 2.097 | 38 | 0.0427 | 1.814 | 12.55 | 0.0937 |
7 | 8 | 6 | 30 | 10 | 1.808 | 38 | 0.0785 | 2.088 | 20.58 | 0.0494 |
8 | 12 | 2 | 20 | 20 | 1.838 | 38 | 0.0739 | 1.838 | 20.05 | 0.0809 |
9 | 12 | 2 | 10 | 30 | 2.246 | 38 | 0.0306 | 1.312 | 9.17 | 0.2216 |
10 | 12 | 2 | 30 | 10 | 1.301 | 38 | 0.2012 | 2.193 | 33.29 | 0.0354 |
What do we learn from this? Answer the following questions.
- Compare Study 3 and Study 1: Based on your results, how (in general) does decreasing standard deviations decrease (holding the means and sample sizes constant) impact our three metrics (degrees of freedom, the test statistics and the p-values)?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started