Answer Happy

Geotechnical engineers use water-level "manometer" surveys to assess the levelness of newly constructed concrete slabs. Elevations are typically measured at eight points on the slab; of interest is the maximum differential between elevations. A journal published an article on the levelness of slabs in residential developments. Elevation data collected for more than 1,200 concrete slabs before tensioning revealed the maximum differential, x, has a mean of μ = 0.54 inch and a standard deviation of o = 0.193 inch. Consider a sample of n = 45 slabs selected from those surveyed and let x represent the mean of the sample. Complete parts a through c below. a. Fully describe the sampling distribution of x, and interpret the result. The sampling distribution has a mean of μ = 0.54, a standard deviation of = .029, and approximately follows a normal distribution. (Round to three decimal places as needed.) b. Find P (x>0.59). P(x > 0.59) = (Round to three decimal places as needed.)