In: Biology
Determine if the greatest % salinity at which bacteria was able to grow at the end of the experiment is significantly different than at the start of the experiment by using the t-test.
Pooled Data:
| Control Plates | 15% salinity agar plates | |
| 1 | 12.67 | 9.23 | 
| 2 | 12.47 | 9.72 | 
| 3 | 12.78 | 10.25 | 
| Control Plates | 15% salinity agar plates | ||||||
| 12.67 | 9.23 | ||||||
| 12.47 | 9.72 | ||||||
| 12.78 | 10.25 | ||||||
| 12.64 | 9.733333333 | Mean | |||||
| 0.157162336 | 0.510130702 | SD | |||||
| 0.090737717 | 0.294524098 | SE | |||||
| 3 | 3 | N | |||||
| Unpaired t test results (STUDENT T TEST) | |||||||
| P value and statistical significance: | |||||||
| The two-tailed P value equals 0.0007 | (any value less than 0.05 is significant) | ||||||
| By conventional criteria, this difference is considered to be extremely statistically significant. | |||||||
| Confidence interval: | |||||||
| The mean of Group One minus Group Two equals 2.9067 | |||||||
| 95% confidence interval of this difference: From 2.0510 to 3.7623 | |||||||
| Intermediate values used in calculations: | |||||||
| t = 9.4316 | |||||||
| df = 4 | |||||||
| 
 standard error of difference = 0.308 Calculate using following formula for manual one: 
 where X1 is mean of control, X2 is mean of saline group, S1 is standard deviation of group one, S2 SD for group 2. Result: Salinity groups are significantly different than the control one  |