A forester is interested in knowing the effect of elevation on the heights of redwood trees. He measures the heights of n1 = 100 adult trees at sea level (population 1, with a known standard deviation of s.d.1 = 30 ft) and n2 = 73 adult trees at 3,OOO ft above sea level (population 2, with a known standard deviation of s.d.2 = 45 ft). The results are XbarI = 320 ft and Xbar2 = 255 ft. What is the 95% confidence interval for mean1- mean2? Independent random samples are taken from two normally distributed populations that have unknown means, mean1 and mean2, and known standard deviations. For the first population,s.d1=0.73 and the sample values are nl = 25, XI = 7.3. For the second population, 02 = 0.89 and the sample values are n2 = 20, x2 = 6.7. Do a right-tailed test of Ho : mean1- mean2 = 0 using (alpha = 0.01 and a decision rule stated in terms of P values.
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