PLEASE DO NOT ROUND IN BETWEEN STEPS, I NEED AS MANY DECIMAL PLACES AS POSSIBLE (6 points) Ten randomly selected people

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PLEASE DO NOT ROUND IN BETWEEN STEPS, I NEED AS MANY DECIMALPLACES AS POSSIBLE
(6 points) Ten randomly selected people took an IQ test A, andnext day they took a very similar IQ test B. Their scores are shownin the table below.
1. Consider (Test A - Test B). Use a 0.05 significance levelto test the claim that people do better on the second test thanthey do on the first. (Note: You may wish to use software.)
(a) What test method should be used?A. Two Sample zB. Matched PairsC. Two Sample t
(b) The test statistic is
(c) The critical value is
(d) Is there sufficient evidence to support the claim thatpeople do better on the second test?A. YesB. No2. Construct a 95% confidence interval for the mean of thedifferences. Again, use (Test A - Test B). <μ<