Week 3 Discussion

Hello Class, F-Test Two-Sample for Variances Current Proposed Mean 75.06557377 75.42622951 Variance 15.56229508 6.281967213 Observations 61 61 df 60 60 F 2.477296451 P(F<=f) one-tail 0.000289016 F Critical one-tail 1.53431418 What similarities or differences do you observe from the sample data? After reviewing the data, both sets offer a mean close on average with a slight difference of 0.36, which shows that the results are similar. Conduct a hypothesis test on the difference between the population means for the two methods. Ho=There is no significant difference between the two methods. Ha=There is a significant difference between the two methods. The F-statistic shows a value of 2.477. This one-tail statistic for this data point is .000289; since this is lower than .05, the null hypothesis can be rejected. The method is similar in comparison, But the proposed method has a significantly smaller variance, indicating that there is more consistent performance than the current method Compute the standard deviation and variance for each training method. Conduct a hypothesis test about the equality of population variance for the two training methods. Current Proposed Mean 75.06557377 Mean 75.42622951 Standard Error 0.505093646 Standard Error 0.320909752 Median 76 Median 76 Mode 76 Mode 76 Standard Deviation 3.944907487 Standard Deviation 2.506385288 Sample Variance 15.56229508 Sample Variance 6.281967213 Kurtosis - 0.069325276 Kurtosis 0.586940414 Skewness - 0.220533558 Skewness - 0.287486243 Range 19 Range 13 Minimum 65 Minimum 69