Alaine has 1 gallon of paint. she is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in3, 1 inch = 2.54 cm)
which of the following scenarios will happen?
a: the paint will not fit the tray by 369 cm^3
b: the paint will not fit the tray by 5.22 in^3
c: the paint will fit the tray exactly
d: the paint will overfill the tray by 5.22 in^3

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).