Which statement can be modeled by x+ 3_< 12?

a) sam has a bottle of water. together, sam and dave have at most 12 bottles of water.

b) jennie sold 3 cookbooks. to earn a prize, jennie must sell at least 12 cookbooks.

c) peter has 2 baseball hats. peter sand his brothers have fewer than 12 baseball hats.

d) kathy swam 3 laps in the pool this week. she must swim more than 12 laps.

* the sign means less than or equal to*

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).