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Consumption of large amounts of alcohol is known to increase reaction time. To investigate the effects of small amounts of alcohol, reaction time was recorded for five individuals before and after the consumption of 2 ounces of alcohol. Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time?
Assume we want to use a 0.01 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis.
Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit.
Is there sufficient evidence to support the claim that consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.
Jim is helping Tom put up a fence diagonally across his 20 square foot backyard. What will be the length of the fence in radial form?
An Employee made $388 for the week and sold $103 in product. If the employee gets 20% commission on the products sold and with holding tax is $38 how much is the employees take home pay?
How Fast in the angle of inclination of the line joining the particle to the origin changing when x=3?
Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?
Suppose you win a lottery and you can take either $1400 in a year or $1000 now. Suppose also that you can invest the $1000 now at 6% interest. Decide which is a better deal and by how much.
Find the eigenvectors and eigenvalues of the following matrix. Write the matrix of eigenvectors and state its rank. If possible, invert it and show that P-1AP = Λ
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
Explain whether we can we say there is a difference between the population proportions in this situation.
Suppose that for a certain company C(x)=25 x+500,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total profit function and break even point.
Sam has a farm with 40 cows and chickens. Together they have 136 legs. How many chickens are on the farm?
How does the shape of the density depend on alpha? b. How can the method of moments be used to estimate alpha?c. What equation does the m.l.e. of alpha satisfy? d. What is the asymptotic variance of the m.l.e.?
For the following problems, determine how many years it will take for the two accounts to reach the same amount. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
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