Question

Which of the following statements are true concerning the mean of the differences between two dependent samples (matched pairs)? Select all that apply. A. The requirement of a simple random sample is satisfied if we have independent pairs of convenience sampling data. B. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 34 IQ scores of workers from California and 34 IQ scores of workers from Texas. C. If one has more than 13 matched pairs of sample data, one can consider the sample to be large and there is no need to check for normality. D. If one wants to use a confidence interval to test the claim that u> 0 with a 0.01 significance level, the confidence interval should have a confidence level of 98% E. If one has ten matched pairs of sample data, there is a loose requirement that the ten differences appear to be from a normally distributed population

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Answer 1

Q1: A, E are true

Q2: A is true

Q3: 95% confidence interval is -15.13<mu_d< 42.38

Since the value"0" is contained in the above interval, we fail to reject the null at 5% level. Thus Joe's claim is not significant.

Q4: Let mu_d be the mean value of the differences in the ...data.

H₀:mu_d=0

H₁:mu_d not equal to zero

For query in above, comment.