Mandy used the graph to write the equation of the line it represents. She took these steps.

1. y−intercept = (0, 2)

2. Slope =
rise
run
=
− 2
4
= −
1
2

3. Substituting values into y = mx + b

y = x +
On a coordinate plane, a line goes through points (0, 2) and (4, 0). The run = 4 and the rise = negative 2.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).