Statistic (Statistics Project Sample)

Name: Instructor: Course: Date: Homework #6 Independent sample data The endurance scores of two independent groups of patients are as indicated in the following table. The patients in the treatment group were randomly assigned the synthetic hormone, erythropoietin or EPO, while those in the control group were assigned a neutral harmless substance. Table SEQ Table \* ARABIC 1 ID Score Group (1=EPO, 2 =Control) 1 12 1 2 5 1 3 11 1 4 11 1 5 9 1 6 18 1 7 7 2 8 3 2 9 4 2 10 6 2 11 3 2 12 13 2 The independent sample t-test is the appropriate test to use in evaluating the effect of the synthetic hormone, erythropoietin or EPO on the endurance level. Using the independent t-test, the average endurance scores of the two independent groups are compared to determine whether they differ significantly. The results of the independent sample t-test used to compare the endurance scores of the treatment group and the control group are as follows. Group Statistics Group N Mean Std. Deviation Std. Error Mean Score EPO 6 11.00 4.243 1.732 Control 6 6.00 3.795 1.549 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference Lower Upper Score Equal variances assumed .000 1.000 2.152 10 .057 5.000 2.324 -.178 10.178 Equal variances not assumed 2.152 9.878 .057 5.000 2.324 -.186 10.186 The null and alternative hypotheses used to evaluate the mean difference between the two independent groups are as stated below. H0: Average endurance scores of the EPO group and control group are equal. H1: Average endurance scores of the EPO group and control group differ. Significance level, a = 0.05 The obtained t-value from the independent t-test is 2.152. The p-value (Sig. 2-tailed) derived also from the independent t-test is p = 0.057. This p-value is greater than the 0.05 significance level. Therefore, we fail to reject the null hypothesis and conclude that there is no significant difference between the average endurance scores of the EPO group and the control group. The results obtained from the independent t-test indicate no significant differences between the average endurance scores of the two independent groups. This implies that patients do not have better endurance when they dope using synthetic hormone, erythropoietin or EPO. Paired samples data The following table indicates the endurance scores of patients who were assigned to both the treatment and controlled conditions. The endurance level of each patient was measured twice; once under EPO treatment condition and the second time under controlled conditions. Table SEQ Table \* ARABIC 2 ID2 Doped Not doped 1 12 7 2 5 3 3 11 4 4 11 6 5 9 3 6 18 13 The paired sample t-test is the appropriate test to evaluate the effect of the synthetic hormone, erythropoietin or EPO on the endurance level. The results of the paired sample t-test are indicated as follows. Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Doped 11.00 6 4.243 1.732 Not doped 6.00 6 3.795 1.549 Paired Samples Correlations N Correlation Sig. Pair 1 Doped & Not doped 6 .919 .010 Paired Samples Test Paired Differences t df Sig. (2-tailed) Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference Lower Upper Pair 1 Doped – Not doped 5.000 1.673 .683 3.244 6.756 7.319 5 .001 The following are the null and alternative hypotheses used to evaluate the effect of EPO treatment on the endurance level of patients who participated in...