Hypothesis Testin Paper Essay Example | Topics and Well Written Essays - 1000 words

surmise Testin Paper - Essay ExampleIt is a hypothesis which states that there is no difference between the procedures and is denoted by H0. The following test of hypothesis can be conducted from the table aboveTest Statistic It is the random variant X whose value is tested to arrive at a decision. The Central Limit Theorem states that for large consume sizes (n 30) drawn randomly from a population, the distribution of the means of those standards will approximate normality, even when the data in the p bent population are not distributed normally. A z statistic is usually used for large experiment sizes (n 30), but often large samples are not easy to obtain, in which case the t-distribution can be used. The population standard deviation s is estimated by the sample standard deviation, s.Rejection Region It is the part of the sample space (critical region) where the null hypothesis H0 is rejected. The size of this region is de full termined by the hazard (a) of the sample tap er falling in the critical region when H0 is true. a is also known as the level of significance, the probability of the value of the random variable falling in the critical region. Also it should be noted that the term Statistical significance refers moreover to the rejection of a null hypothesis at some level a. It implies only that the observed difference between the sample statistic and the mean of the sampling distribution did not occur by chance alone.The critical t value is obtained according to the degrees of freedom The resulting t test values are shown in this table t-test Two-Sample Assuming Equal Variances Upstream Downstream Mean 6.6539 8.6874 Variance 0.2124 0.2988 Observations 10 10 Pooled Variance 0.2556 Hypothesized Mean Difference 0 Degrees of freedom