Assume that you have a sample of n1=4 , with a sample mean Xbar1 = 50 , and a sample standard deviation of S1= 5, and you have an independant sample of n2 = 8 from another population with a sample mean Xbar2 = 32 and the sample standard deviation S2=6. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that μ1>μ2?
determine the hypotheses
a- Ho: μ1 not equal μ2 , H1: μ1= μ2?
b- Ho: μ1 less than or equal to μ2 , H1: μ1 greater than μ2
c- Ho:μ1 greater than μ2 , H1: μ1 less than or equal than μ2
d- Ho: μ1 = μ2 , H1: μ1 not equal to μ2
Null Hypothesis: A hypothesis which is to be actually tested for acceptance or rejection is termed as null hpothesis. It is denoted by . While framing Null Hypothesis; there should not be any Inequality i.e Greater than or Less than concepts. There will be always the Equality.
Therefore option (d) is the Right Answer.
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