I am having trouble in this section of two means followed by independent samples
Math 150, Spring 2021 El Camino College G. Song 8: The ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the table below: Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 12 6 13 8 Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4 Use 0.10 significance level to test the claim that the mean age of cars is greater than the mean age of taxis. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. test statistic = 0.5549093883, p-value = 0.2908556171 Section 9.3: Two Dependent Samples (Matched Pairs) 9: List below are systolic blood pressure measurement (mm Hg) taken from the right and left arms of the same woman. Right arm 149 141 143 136 130 Left arm 177 161 180 143 147 Assume that the paired sample data is simple random sample and that the differences have a distribution that is approximately normal. Let : be the mean value of the difference d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. Use a 0.05 significance level to test the claim that the blood pressure measurements from the two arms are different. test statistic = -4.296870078, p-value = 0.0126769821 10: A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Before 11.2 2.8 10.6 7.6 7.4 8.5 5.7 5.1 After 6.9 2.9 7.4 8.8 8.8 6.7 3.6 2.9 Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test the claim that the the hypnotism is effective in reducing pain. test statistic = -1.868431982, p-value = 0.0519584292