Suppose we have a set of paired data, and let LaTeX: \text{d = }x_{after}-x_{before}d = x−xo. The null hypothesis is LaTeX: H_0H0 : LaTeX: \mu_d=0=0, the alternative hypothesis is LaTeX: H_aH : LaTeX: \mu_d\ne0≠0, and the population standard deviation LaTeX: \sigma is not known. Jordan collects a sample of size LaTeX: n=9=9 and computes LaTeX: \overline{d}=2.2⎯⎯⎯=2.2 and LaTeX: s_d=3.3=3.3.a) What is the value of the test statistic?
b) The probability of obtaining a test statistic greater than Jordan's test statistic is 0.0403. Use this probability to determine the P-value for Jordan's hypothesis test. (Round to three decimal places.)

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: