1.A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages. For small to mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. What is the probability that the company is small to mid-sized and did not offer stock options to their board members?

2.It was found that 60% of the workers were white, 30% were black and 10% are other races. Given that a worker was white, the probability that the worker had claimed bias was 30%. Given that a worker was black, the probability that the worker had claimed bias was 40%. Given that a worker was other race, the probability that the worker had claimed bias was 0%. What is the probability that a randomly selected worker is black and had not claimed bias?

3.Restaurant Deny Valentine is evaluating the feasibility of opening a restaurant in Richamond. The Chamber of Commerce estimates that "Richamond families", on the average, dine out more than 3 evenings per week". Deny plan to test this hypothesis at the 0.01 level of significance. His random sample of 81 Richamond families produced a mean and a variance of 2.7 and 0.81 evenings per week respectively. The statistical test value is _________________.

4.Restaurant Deny Valentine is evaluating the feasibility of opening a restaurant in Richamond. The Chamber of Commerce estimates that "Richamond families", on the average, dine out more than 3 evenings per week". Deny plan to test this hypothesis at the 0.01 level of significance. His random sample of 81 Richamond families produced a mean and a variance of 2.7 and 0.81 evenings per week respectively. His alternative hypothesis is