Suppose that an Internal Revenue Service (IRS) representative claims that the average tax deduction for medical care is $1,250, and assume that this variable is normally distributed. A taxpayer who believes that the deduction might be less than $1,250 decides to randomly sample 12 families who have an average deduction of $934 with a standard deviation of $616. a. What are the null and alternative hypotheses? b. What is the value of the test statistic, i. e. t-stat, in this example? Show your work. c. What is the p-value associated with this test statistic? (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.) d. What can you conclude at the 10-percent level of significance? What can you conclude at the 5-percent level of significance? Explain. (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.)

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Olga fue a comprar unas botas que costaban $675 con un descuento del 25%y al pagar en caja como fue el cliente 100 de ese día obtuvo otro descuento ? cuanto pago olga por las botas?

(02.01 mc) evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. the candy has 3 pounds of milk chocolate. part a: write an equation using one variable that can be used to find the total number of pounds of dark chocolate and milk chocolate in the candy. define the variable used in the equation and solve the equation. hint: 0.25x represents the number of pounds of dark chocolate in the candy. (5 points) part b: how many pounds of dark chocolate are present in the candy? show your work. (5 points)