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Problem #1
Surface area of a cube. The formula A=6V^2/3 gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
Problem #2
Sailboat Speed. The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet:
S=216Ad^-2/3
a) Find S to the nearest tenth for the Tarton4100, which has a sail area of 810 square feet and a displacement of 23,254 pounds.
b) Solve the formula for d
What is the probability that separates the bottom 25 percent from the rest of the distribution.
Explain probability distribution of X (name and parameters).
A college's data about incoming freshmen indicates that the mean of their high school GPA was 3.4, with a standard deviation of 0.35. Let X=the GPA of an incoming freshman. The students are randomly assigned to writing groups of size 49.
Findout the 98% confidence interval for true mean. Findout a 98% confidence interval for the cigarette tax in all 50 states.
A study to get a quick idea of the medical acceptability of a new aspirin substitute which cannot be dispensed over the counter without prescription.
A regional manager visits local fast-food franchises and evaluates the speed of the service. If the manager receives her meal within 45 seconds, the server is given a free movie-admission coupon.
Could mud-wrestling be the cause of a rash contracted by University of Washington students in the spring of 1992? Two physicians at the University of Washington health center wondered this when one male and six female students complained of rashes..
Suppose that 15% of all adults jog. An opinion poll asks a simple random sample of 500 adults if they jog. What is the sampling proportion in the sample who jog?
Perform a posthoc test that is suitable if we assume that group 7 is a control group and that the other are different treatment groups and that we are only interested in finding significant treatments, not to compare them.
You just saw an ad on television that states the majority of the population would vote to make smoking illegal. The poll that is referenced shows 53% of those asked supported making smoking illegal.
How large should n be so that Chebyshev's inequality guarantees that the estimate is within 5 centimeters from h, with probability at least 0.99?
Examine relationship between GNP per capita and the percentage of respondents willing to pay more taxes. Create a table using the data below for the GNP per capita and the percentage willing to pay higher taxes.
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