Complete the $5$ steps for the following two problems. Assume an $=\mathrm{.}05.$

$1.$ You are a production manager at a hand$-$made shoe factory. You think that there may be a relationship between worker$$s income and their daily output for shoes made. Is there a significant relationship?

$$

Worker$$s income $($In dollars$)$

Daily output

$37000$

$12$

$35000$

$13$

$38000$

$13$

$27000$

$10$

$29000$

$11$

$32000$

$12$

$31000$

$11$