1. According to the norms established for a test designed to measure a person's ability to think logically, college sophomores should average 73 points. This test is given to a group of 64 college sophomores who have just completed a required course in mathematics which is supposed to sharpen their general powers of reasoning. What can one conclude about the effectiveness of the course if these students averaged 77.3 with a standard deviation of 10.8 on the test? Use a significance level of .01.

_______1a) What is the direction of the test? ( TWO-TAILED or UPPER-TAILED or LOWER-TAILED )

_______1b) What is the computed p-value? ____________________

_______1c) The null hypothesis should be rejected. ( TRUE or FALSE )

_______1d) It can be concluded that the course was effective. ( TRUE or FALSE )

2. The JU librarian believes that more than 60% of the books checked out by students was fictional material. In a random sample of 1000 students who checked books out in the last year, 625 checked out fictional material. What can one conclude about the librarian's hypothesis at a level of significance of .05?

_______2a) What is the direction of the test? ( TWO-TAILED or UPPER-TAILED or LOWER-TAILED )

_______2b) What is the computed p-value? ____________________

_______2c) The null hypothesis should be rejected. ( TRUE or FALSE )

_______2d) It can be concluded that the librarian's belief is correct. ( TRUE or FALSE )

3. A bowler who has averaged 196 pins in the past year is asked to experiment with a ball made of a new kind of material. If he rolls 25 games with the new ball, averaging 204 pins with a standard deviation of 24.9, can one conclude at a level of significance of .05 that the new ball has changed his game, for better or worse?

_______3a) What is the direction of the test? ( TWO-TAILED or UPPER-TAILED or LOWER-TAILED )

_______3b) What is the computed p-value? ____________________

_______3c) The null hypothesis should be rejected. ( TRUE or FALSE )

_______3d) It can be concluded that the new ball changed his game. ( TRUE or FALSE )

4. A commercial airline is concerned about the increase in the usage of carry-on luggage. For years the percentage of passengers with one or more pieces of carry-on luggage has been stable at 38%. The airline recently selected 300 passengers at random and determined that 148 possessed carry-on luggage. Can we conclude a significant increase in carry-on luggage at a .01 significance level?

_______4a) What is the direction of the test? ( TWO-TAILED or UPPER-TAILED or LOWER-TAILED )

_______4b) What is the computed p-value? ____________________

_______4c) The null hypothesis should be rejected. ( TRUE or FALSE )

_______4d) It can be concluded that carry-on luggage usage has increased. ( TRUE or FALSE )

5. The Better Business Bureau has received several complaints that a flour company is underfilling its five pound bags of flour. The Bureau randomly selects 750 bags of flour and determines the weight of each bag. The sample average weight of the bags is 4.80 pounds with a standard deviation of 0.15 pounds. Can we conclude at the .01 significance level that the bags are underfilled?

_______5a) What is the direction of the test? ( TWO-TAILED or UPPER-TAILED or LOWER-TAILED )

_______5b) What is the computed p-value? ____________________

_______5c) The null hypothesis should be rejected. ( TRUE or FALSE )

_______5d) It can be concluded that the flour bags are under-filled. ( TRUE or FALSE )