To determine the average height of the trees in the national forest, we first calculate the average height for the first set of 10 trees:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.784 + 85.2)/10 = 85.37 feet
Next, we calculate the average height for the second set of 10 trees:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.185 + 85.2 + 87.3)/10 = 85.58 feet
The difference between the average heights of the two sets of trees is:
85.58 - 85.37 = 0.21 feet
To determine if these two sets are random samples, we need more information. In general, for a sample to be considered random, it should be chosen in a way that every member of the population has an equal chance of being selected. If these two sets were randomly selected using a proper sampling method, then they could be considered random samples. However, without more information about the sampling process, it is difficult to determine definitively if they are random samples.
To determine the average height of trees in a national forest, 10 trees are randomly selected their heights and feet are 85.4 87.6 87.1 85.6 85.9 85.3 84.9 83.784 and 85.2 to ensure the accuracy of the data. Another set of 10 trees is randomly selected. Their heights are 87.1 88.0 84.2 85.3 86.5 84.2 83.2 84.185.2 87.3 what is the difference between the main heights of the trees? Are these two random samples?
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