Question: i am having trouble with these two math responses For the following questions, please identify as independent data sets or matched paired data sets (For


i am having trouble with these two math responses



For the following questions, please identify as independent data sets or matched paired data sets (For the week 13 online participation 2 of 2, we will use the same questions to do some calculation): 1) Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/1) was measured. Car Gas eco. |1 2 3 4 5 6 7 8 9 10 11 12 Y1 (radial) |4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Y2 (belted) |4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 Use 0.05 significance level to test the claim that radial tires produce better fuel economy? (Assume normality of data) 2) The mean tension bond strengths of two types of cement mortar (modified and unmodified) are known to be normally distributed. Two simple random samples from the modified and unmodified populations of bond strengths are given by {16.85, 16.4, 17.21, 16.35, 16.52, 17, 16.96, 17.16, 16.59, 16.57} and {17.5, 17.63, 18.25, 18, 17.86, 17.75, 18.22, 17.9, 17.96, 18.15}, respectively. Let u1 denotes the true mean tension bond strength of the modified mortar and M2 denotes the true mean tension bond strength of the unmodified mortar. Use a 0.05 significance level to test the claim that mean tension bond strength of the modified mortar is greater than the unmodified mortar. For this part, you do not need to do any calculation. Your job here is just to identify which one is independent data set and which one is matched pair data set.With the same questions as the week 13 online participation 1 of 2, we are going to do some calculation (after we identify the two questions as independent set of data and matched paired set of data. You may refer back to section 9.2 and section 9.3) 1) Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/1) was measured. Car Gas eco. |1 2 3 4 5 6 7 8 9 10 11 12 Y1 (radial) |4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Y2 (belted)|4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 Use 0.05 significance level to test the claim that radial tires produce better fuel economy? (Assume normality of data) 2) The mean tension bond strengths of two types of cement mortar (modified and unmodified) are known to be normally distributed. Two simple random samples from the modified and unmodified populations of bond strengths are given by {16.85, 16.4, 17.21, 16.35, 16.52, 17, 16.96, 17.16, 16.59, 16.57} and {17.5, 17.63, 18.25, 18, 17.86, 17.75, 18.22, 17.9, 17.96, 18.15}, respectively. Let u1 denotes the true mean tension bond strength of the modified mortar and M2 denotes the true mean tension bond strength of the unmodified mortar. Use a 0.05 significance level to test the claim that mean tension bond strength of the modified mortar is greater than the unmodified mortar. For the independent set of data, calculate the sample mean and sample standard deviation of each data set (there are 4 numbers in total).the difference of data 1 and data 2, then calculate the sample mean and sample standard deviation of the new data set (tLdifference, there are two numbers here); Then with the sample means and sample standard deviations, calculate the test statistics for each of the questions
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