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Consider the hypothesis test with null hypothesis µ1=µ2 and alternative hypothesis µ1 > µ2. Suppose that...

Consider the hypothesis test with null hypothesis µ1=µ2 and alternative hypothesis µ1 > µ2. Suppose that sample sizes n1 = 10 and n2 =10, that the sample means are 7.8 and 5.6 respectively, and that the sample variances are 4 and 9 respectively. Assume that the population variances are equal and that the data are drawn from normal distributions.

a) Test the hypothesis that at α= 0.05 and provide a conclusion statement

b) Provide an adequate confidence interval with 95% confidence level.

c) Do your answers in a) and b) coincide? Explain.

Math   Statistics-And-Probability   
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