Which of the following statements are true concerning the mean of the difference

Question

Which of the following statements are true concerning the mean of the differences between two dependent samples (matched pairs)? Select all that apply. If one has five matched pairs of sample data, there is a loose requirement that the five differences appear to be from a normally distributed population. If one has more than 22 matched pairs of sample data, one can consider the sample to be large and there is no need to check for normality. If one wants to use a confidence interval to test the claim that mu_d > 0 with a 0.01 significance level, the confidence interval should have a confidence level of 98%. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 95 IQ scores of taxpayers from Texas and 95 IQ scores of taxpayers from Ohio. The requirement of a simple random sample is satisfied if we have independent pairs of voluntary response data.

Explanation / Answer

a) Yes , if the sample size is 10 , with 5 mathched pais . as the sample size is small we need the normality assumption to be satisfied

b) yes , if we have 22 matched pairs , then the sample size is large enough to not consider normality

c) if the signifcancel level is 0.01 then the confidence interval is 1-0.01 = 0.99 , hence we have a 99% confidence

d) if we select people from ohio and texas , then this becomes an independent test and we are considering dependent test or matched pair test

e) no , we are considering dependent pairs and not independent pairs . Its a matched pair test so the pairs must be dependent .

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