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survey of 31 randomly selected students finds that they save a mean of $82 per semester by
using a website. Assume the date comes from a normal distribution and the sample standard deviation is $18 per month.
Confidence Interval: What is the 99% confidence interval to estimate the population mean? (Round your
answers to two decimal places.)
____< u < _____
Find the centroid of the triangle whose vertices are (−1,0), (1,0), 𝑎𝑛𝑑 (0,3
Find the moment about the x-axis of a wire of constant density that lies along The curve
𝑦 = √𝑥 from 𝑥 = 0 𝑡𝑜 𝑥 = 2
Find the Center of mass of a thin plate of constant density 𝛿 covering the region bounded by the parabola 𝑦 = 𝑥2 and the line 𝑦 = 4.
A sample of 25 women had a variance in IQ scores of 62. A sample of 18 men had a variance of 72. Do the women have a smaller variance in IQ scores at the 0.01 level of significance? Assume both populations are normally distributed
Two Children balance on the seesaw. The 40 lb child is 5 ft from the fulcrum. How far from the fulcrum is the 50 lb child ?
A storage tank is a right circular cylinder 20 ft long and 8 ft in diameter with
its axis horizontal. If the tank is half full of olive oil weighing 57 lb/ft3, find the
work done in emptying it through a pipe that runs from the bottom of the
tank to an outlet that is 6 ft above the top of the tank.
A spring, whose unstretched length is 2.0 m is compressed to a length of 1/2 m
when a force of 10 N is applied. Find the work required to compress the spring
to a length of 1.0 m.
A trough whose cross-section is a semi-circle is filled with water. What is the
force due to water pressure on one side of the plate?
A researcher claims that 10 year olds watch 6.6 hours of TV daily with SD = 2.5 hours. You try to verify this with the following sample data of 100 and a sample mean of 6.1 hours. Test the claim of the researcher. Test at α = .01
