Statistics and Probability Answers

Inspector Significance wanted to find out if the mean weight of the eggs differs from 50 grams. He tested the hypotheses H_0: \mu = 50 versus H_a: \mu \neq 50 and got a P-value of 0.0192. At \alpha = 0.05, what should he conclude from his test of significance?

A chartered accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and beig rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

1. A chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

2. In a factory turning out razor blade, there is a small chance of 1/500 for any blade to be defective. The blades are supplied in a packet of 10. Use Poisson distribution to calculate the approximate number of packets containing blades with no defective, one defective, two defectives and three defectives blades in a consignment of 10,000 packets.

As a counselor in the field of addiction, you are interested in researching if online gambling is becoming more prevalent. You decide to conduct research to compare online gambling to gambling in public places such as casinos. You hypothesize that online gambling is more prevalent among those who are under the age 30, leading to more online gambling addictions in those individuals who are under 30. To test your hypothesis, you use a random sample of 40 individuals who report attending counseling because of a gambling addiction. The ages of the individuals and initial mode of gambling was recorded. The ages for those who gamble online and in public are shown in the table. On the basis of the data provided, can you conclude that online gambling is more prevalent among individuals who are under the age of 30 at a level of significance of 0.05? Why or why not? (Show all seven steps of the appropriate hypothesis test.)

Online Gambling Public Gambling
21 36
36 46
47 29
62 59
45 33
42 54
36 42
63 49
39 45
44 50
21 42
32 50
21 23
20 34
47 35
61 23
28
18
20
62
27
62
18
40
60

In a factory turning out razor blade, there is a small chance of 1/500 for any blade to be defective. The blades are supplied in a packet of 10. Use Poisson distribution to calculate the approximate number of packets containing blades with no defective, one defective, two defectives and three defectives in a consignment of 10,000 packets

A chartered accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and beig rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

Which of these statements is not true about the variance in a binomial distribution B(n, p)? __________

A. For a fixed p, the variance increases as n increases.

B. For a fixed n, the variance is maximum when p = 0.5.
C. The variance depends only on n.
D. The variance is constant for a specific n and p.
E. None of these are true.

A random sample of n=100 will be selected from this population and ^P proportion of couples that are mixed what are the mean and standard deviation of the sampling mean of ^P? 7% of the united states married that are mixed.

At a certain University it is required by state law that 3 out of 4 students be from the state. If 10 students are selected at random from this university, what is the probability that 4 or more will be from outside the state?

I need to know how to simulate this as well.