1) a. There is an elevator on the 102th floor of the Empire State Building with...

a. There is an elevator on the 102th floor of the Empire State Building with a sign: MAXIMUM WEIGHT 2900 LBS. During refurbishment, the cable was being replaced. A section of the new cable is cut up and tested for its breaking strength. The cable was tested 20 times and the average breaking point of the sample was found to be 3100 LBS with a standard deviation of 280 LBS. Construct an appropriate hypothesis test that determines whether the cable is safe to use. Since this cable has lives on the line (literally) use an alpha level of .005. Show all work! (Hint: Do you desire the actual breaking point is greater or less than 2900 LBS?)

b. In a hypothesis test, what does the p-value mean? Hint: What does it mean in terms of the sample that was drawn?

Solutions

Expert Solution

A small p-value (0.00477801) < 0.05 indicates strong evidence against the null hypothesis.

Here, since, p-value = 0.00477801 > 0.0025, so we reject our null hypothesis.

orchestra answered 1 year ago

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