According to Strategic Vision, the average age of Mercedes buyers in the United States is 54 years old. Assume that the standard deviation for the age of these buyers is 8.5 years. A random sample of 38 Mercedes buyers was selected. Calculate the standard error of the mean.

At a point on the ground 50 meters from the foot of a tree, the angle of elevation to the tree is 48°. find the height of the tree to the nearest meter.

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Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.