Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 24 degrees of freedom. Compute P (t<-1.71). Round your answer to at least three decimal places. P(t<-1.71)= ] (b) Consider at distribution with 16 degrees of freedom. Find the value of c such that P(-c

Compute the upper and lower limits for the following data at a 95% CI, when M1 = 20, M2 = 15, t = 2.145 (this is the t-value you would get from the table), and S(M1-M2) = 1.34.

Find the t-value(s) for each of the following cases. Round your answers to 3 decimal places. Enter negative values as negative number, a. Upper tail area of .025 with 15 degrees of freedom is 2.131 b. Lower tail area of .05 with 50 degrees of freedom is -1.676 c. Upper tail area of 20 with 35 degrees of freedom is 0.852 d. Where 90% of the area falls between these two t-values with 20 degrees of freedom. -1.725 -1.725) e. Where 99% of the area falls between these two t-values with 45 degrees of freedom. -2.690 2.690)

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.