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Suppose you wanted to test the hypothesis that the observed average speed on a highway-where the maximum legal speed is 55 mph-is not equal to 55 mph (i.e. H0: µ = 55; H1: µ ≠ 55). Speed guns are used to measure the speed of 50 drivers, and the mean is found to be 58 mph with a SD=8.0 mph.

What is the p value? I know the test statistic is 2.65. I got that the p value was 0.008. I am not sure if this correct. What is the step by step to calculating that?

Hospitalized patients experience many symptoms such as pain, nausea, vomiting, sleep disturbance, fatigue, and limitations in abilities to perform activities of daily living. However, surgical patients appear to experience these distressing symptoms to a greater extent.

Is it correct that the independent variable is the hospitalizes/surgical patients and the dependent variable is the extent of the distressing symptoms?

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