The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 6. A study was done to test the claim that the average cost of a daily newspaper is 35. Ten costs yield an average cost of 30 with a standard deviation of 4. Do the data support the claim at the 1% level?

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

What is the p-value?(Round your answer to four decimal places.)

Explain what the p-value means for this problem.

-If H0 is true, then there is a chance equal to the p-value that the average cost of a daily newspaper is 30 or less OR 40 or more.

-If H0 is false, then there is a chance equal to the p-value that the average cost of a daily newspaper is not 30 or less OR 40 or more.

-If H0 is false, then there is a chance equal to the p-value that the average cost of a daily newspaper is 30 or less OR 40 or more.

-If H0 is true, then there is a chance equal to the p-value that the average cost of a daily newspaper is not 30 or less OR 40 or more.