1. A certain university has decided to introduce the use of “minus grades”, as long as there is evidence that more than 75% of their faculty is in favor of such a change. They survey a random sample of faculty and use a hypothesis test to determine whether to make the change. a. Define the parameter (either or p) this test involves. b. Write the null and alternative hypotheses. Solution p: the proportion of faculty in favor of introducing minus grades H0: p <= 0.75 HA: p > 0.75.

1. 1. a child throws a ball with a speed of 6 feet per second at an angle of 67 degrees with the
horizontal. Express the vector described in terms of i and j. If exact values are not possible,
round components to the nearest thousandth.
2.Determine if 180+30+5+5/6+.... converges or diverges. If it converges, find its sum.
3.solve: from 10 names on a ballot, a committee of 3 will be elected to attend a political national
convention. How many different committees are possible?
Solution
a) velocity = 6*cos(67)i + 6*sin(67)j
= 2.344i + 5.523j
b)180+30+5+5/6.....is in geometric Progression
common ratio = 1/6
so it converges to 0
and sum = 180/(1-1/6)
= 216
3) there are 10C3 possible ways to select 3 out of 10
so answer is 120