(All Steps) Radon, the second largest cause of lung cancer after smoking, is a radioactive gas produced by the natural decay of radium in the ground. Radon


Question: Radon, the second largest cause of lung cancer after smoking, is a radioactive gas produced by the natural decay of radium in the ground. Radon can seep into a building through openings in the foundation, and the EPA recommends that corrective measures be taken if levels reach 4 or more picocuries per liter (pc/l). Officials investigated the radon levels in two public schools where random and independent sample readings were taken at each school. The readings are in the table below. Is there sufficient evidence to conclude that the mean radon level at the first school is lower than the mean level at the second school. Assume

normality and test at the 5% significance level. (13 points)

School 1 School 2

1.7 0.9 5.3 3.2

1.3 0.9 4.2 7.2

0.8 1.4 3.9 5.6

1.5 1.6 5.7 5.0

0.9 1.3 3.8 4.1

1.1 1.2 5.5

Random Variable

Ho Mu1 >= Mu2

Ha Mu1 < Mu2

Test Statistic t = -10.2277

Rejection Region R = {t < -2.72}

Conclusion Reject Ho

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