5. You are interested if elevation affects red maple growth. To address the ques

Question

5. You are interested if elevation affects red maple growth. To address the question you measure and record the height of red maples in two forests: one at 300 ft above sea level and one at tree 300ft 800ft 24 65 24 32 33 800ft above sea level: Determine if the elevation affects growth 44 based on the data collected. Include: what test you are running 33 and why, hypotheses and assumptions. Show all work. (3 points) 53 51 34 37 38 42 53 4 49 53 34 58 60 64 10 12 13 14 15 16 17 18 58 29 53 37 49 42 39 35

Explanation / Answer

Hypothesises are :

H0 : 300 ft -800 ft = 0

Ha : 300 ft - 800 ft 0

Here we are running t test for paired sample data.

Here the difference table is

Here Average difference dbar = 7.667

Standard deviation of difference sd = 16.172

standard error of difference sed = sd/ sqrt(n) = 16.172/ sqrt(18) =  3.812

Test statistic

t = 7.667/3.812 = 2.011

Here critical value of t for alpha = 0.05 and dF = 18 -1 = 17

tcritical = t17,0.05 = 2.11

so here, we will say t < tcritical so we fail to reject the null hypothesis and conclude there is no difference in the elevation effect on growth of tree.

Tree 300 ft 800 ft Difference 1 65 24 41 2 24 33 -9 3 32 44 -12 4 44 33 11 5 49 53 -4 6 55 51 4 7 53 34 19 8 34 37 -3 9 66 38 28 10 58 42 16 11 60 53 7 12 64 55 9 13 33 58 -25 14 55 29 26 15 53 33 20 16 37 39 -2 17 49 35 14 18 42 44 -2 Average 7.667 Std. Dev. 16.172

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