Test of Hypothesis Z-Test Of Difference Between Two Means - 550 Words

Test of Hypothesis: Z-Test Of Difference Between Two Means (Essay Sample) Content: Z-TEST OF DIFFERENCE BETWEEN TWO MEANSInstitution:Name:Assuming that u1 and u2,represents means of two population of interest,The hull hypothesis for comparing the two means is :H0 : 1 =2The alternative hypothesis can be any of the following below:HI : 1 u2H1: u1 u2H1 : u1u2Depending with the desire of the researcher, a suitable Type I error probability () is chosen for the test, the data collection is carried out and the test is carried out using the formula below:Z= 1-21n1+2n2Where 1, 2 are standard deviations of the two popuplationsn1, n2 are sample sizes and 1,2 are sample means of the saples obtained from the populationsThe Null Hypothesis is rejected in favor of Alternative Hypothesis if:For HI : 1 u2 then, ZZ2or ZFor H1 : u1u2 then, ZZ1-For H1: u1 u2 then, ZIt is very important to note that comparing the p- value to is the same as comparing z- statistic to the cut- off z-value shown above.This test is commonly used when the sample sizes are large or if the population variances are known.If the population variance is unknown and it is possible it can be estimated from sample itself, then t-test becomes the most appropriate.REFERENCES...