3i) A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. Theywant to test if the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals is used in this test. Then, the critical t-value(t*) with a 5% significance level is

a. t* = 1.714

b. t* = -2.069

c. t* = -1.714

d. t* = 2.069

3ii) The cost of a university education has increased at a much faster rate than other living expenses in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. Suppose a hypothesis test is done to test their belief. Then the correct formulation of the hypothesis is

a. H₀: = 20 andH_A: < 20.

b. H₀: < 20 andH_A: > 20.

c. H₀: = 20 andH_A: > 20.

d. H₀: = 20 andH_A: 20.