Tim’s mom filled the gas tank in her SUV and spent $82.00 for 25.5 gallons of unleaded gasoline. What is the constant of proportionality that relates the cost in dollars, y, to the number gallons of unleaded gasoline, x?

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).