According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes: 4; 5; 5; 4; 4; 2; 6; 4; 3; 4; 5; 4; 6; 2; 3; 3;...

According to theN.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes:

At

 level, is the class's mean family size greater than the national average?


Note: If you are using a Student'st-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

a)What is thep-value for the test?

b)State alpha. (Enter an exact number as an integer, fraction, or decimal.)