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Play the piano. Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons. We have a random sample of 20 children from the city, with a mean of 4.6 years of piano lessons and a standard deviation of 2.2 years.
(a) Evaluate Georgianna's claim using a hypothesis test.
(b) Construct a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in context of the data.
(c) Do your results from the hypothesis test and the confidence interval agree? Explain your reasoning.
You will finance 80% of the purchase price. Using 5% as the interest on your 30-year fixed rate mortgage, calculate the monthly payment using the factor table from the textbook. Calculate the payment using the same 5%, but for a 15-year mortgage.
Find the average value of f(x,y)=x2/3y1/3 over the rectangle R={(x,y)/-8≤x≤8,0≤y≤27}
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An Isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm^2/sec when the radius of the semicircle is 3..
What is some evidence for hunting as the dominant component of early hominid economies? Please tell me about the Australopithecine - Homo transition of c. 3 to 1 million years ago
What is the median lifetime of these light bulbs? Problem description: #2, sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
A balloon leaves the ground 250 ft from an observer and rises at the rate of 5.0 ft/s. How fast is the angle of elevation of the balloon increasing after 8.0 s?
At what point do the curves r1 = and r2 = intersect? And what is the angle of intersection?
Let C be the set of cities in the world, let N be the set of nations in the world, and let P(c, n) be "c is the capital city of n."
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