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Study Design In my study the null hypothesis is that Delta Airlines taxi out times = Southwest Airlines taxi out times as illustrated by the
Study Design In my study the null hypothesis is that Delta Airlines taxi out times = Southwest Airlines taxi out times as illustrated by the mathematical equation: H o : 1 2 . 1= Delta Airlines taxi out times. 2= Southwest Airlines taxi out times. The alternate hypothesis is that Delta Airlines taxi out times are >Southwest Airlines taxi out times illustrated by the equation: H 1 : 1> 2 . I am using a two-sided/2 sample t-test that is right tailed. The difference between Delta and Southwest taxi out times is being computed by subtracting from left - right. Summary Statistics: Summary statistics: Column n Mean Variance Delta TaxiOut 100 8.81 9.5089899 3.0836 0.3083665 65 8 16 5 21 Southwest Taxi-Out 100 21.54 58.917576 7.6757 0.7675778 785 5 20 42 9 51 17 25 Results Hypothesis test: Hypothesis test results: 1: Mean of Delta Taxi-Out 2: Mean of Southwest Taxi-Out 1 - 2: Difference between two means H0: 1 - 2 = 0 HA: 1 - 2 > 0 (with pooled variances) Std. dev. Std. err. Media Rang Mi Ma Q Q3 n e n x 1 7 10 Difference Sample Diff. 1 - 2 Std. Err. DF T-Stat -12.73 0.82720352 198 -15.3892 Results confidence interval: 95% confidence interval results: 1: Mean of Delta Taxi-Out 2: Mean of Southwest Taxi-Out 1 - 2: Difference between two means (with pooled variances) P-value 1 Difference Sample Diff. 1 - 2 Std. Err. DF L. Limit -12.73 0.82720352 198 -14.36126 -11.09874 The T-test Decision Rule. U. Limit We reject the null hypothesis if the P-Value is large i.e if the P-value is greater than the significance level or it lies in the critical region. If P-value is smaller than the significance level, we do not reject the null hypothesis since the PValue lies in the acceptance region. In our case, the test statistic is -15.3892 and the corresponding P-value is 1. This clearly shows that the P-value lies in the critical/rejection region (The maximum value P can take is 1). Hence, we reject the null hypothesis. Decision: There is no enough evidence to show that Delta Air Lines will have a considerable amount more of taxi out time than Southwest Airlines
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