Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 8 degrees of freedom. Compute P (t<1.14). Round your answer to at least three decimal places. P(t<1.14)= I (b) Consider at distribution with 13 degrees of freedom. Find the value of c such that P(-c

In baseball there are many ways to estimate what a team's winning percentage (w) should be against its opponents, given the total runs it has scored and the total runs it has allowed in a certain number of games. Bill James's Pythagorean Formula for the winning percentage estimator is given below. wpe = w = [(# runs scored)2]/[(# runs scored)2 + (# runs allowed)2]   A team has currently scored 369 runs and allowed 329 runs. If the team does not allow any more runs for the rest of the season, how many additional runs must they score in order to have a wpe of 80%? (Hint: Let x = the number of runs additional scored.)

Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed t-test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 13 weights, and the male sample has 7 weights. The t-statistic for the test is -0.20542. What is the p-value? (Give your answer to 4 decimal places.) p-value:

(a) Let X be a normal r.v. with mean u =12 and standard deviation o = 1.5. Find P( X 13 ) = (c) Let X be a normal r.v. with mean u =7 and standard deviation o = 1.5. Find P( 5

Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 15 degrees of freedom. Compute P (t<-1.86). Round your answer to at least three decimal places. P (t<-1.86)=[] (b) Consider at distribution with 10 degrees of freedom. Find the value of c such that P(-c

Suppose that tax paid by a certain person per year is denoted T;, and is calculated using the following relationship to that persons gross income (G₁): Ti = 0.25(G₁ - 10000) (i.e, only people who have an income over $10,000 per year are taxed, and only the income beyond $10,000). You are told that the total gross income for an area with 200 people is $6,000,000. Assume that all the people measured make over $10,000 a year. (a) Find the total taxes collected for the 200 people. (b) Find ΣT; for the 200 people. 100 (c) Find (2G₁ – 40) for the 200 people.