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Assume 4 pens are chosen at random from a box containing nine yellow pens and 6 blue pens. In how many ways can you choose at least 1 yellow pen?
A survey of fruit tree growers showed the following 47 grew raspberries, 31 grew blueberries, 15 grew strawberries, 6 grew all 3 types, 18 grew both raspberries and blueberries, grew both raspberrie
A random sample of 42 gas grills has a mean price of $630.40 and standard deviation is $56.20.
Assuming that yields for each stock are approximately normally distributed, with which investment strategy do you have the smallest chance of losing money?
The data in the following table show the number of shares selling (millions) and the expected price (average of projected low price and projected high price) for 10 selected initial public stock off
Develop the estimated regression equation which relates line speed to the number of defective parts found. At a .05 level of significance, find out whether line speed and number of defective parts fou
Use the big M method to solve the following linear programming problem:
Assume that the proportion of voters who will vote for Mr. Smith is p=0.57. Let pˆ be the sample proportion of voters for Mr. Smith in random sample of size 132. Find out the following probabil
About 4% of the scientists in National Academy of Sciences believe in PSI (parapsychology such as psychokinesis, telepathy, and astral projection). At the convention 144 members show up. Let X be th
A club with 23 members is voting on the proposal. A group of 5 has decided to vote in favor of proposal while each of the rest of the members vote independently with chance of 44% in favor of propos
Suggest the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you
At the 95% confidence level, using the null hypothesis H0: p = 0.50 versus alternative H1 : p > 0.50, determine the probability of Type II error, if we employ as the specific alternative hypothes
After n rounds, find out the expected value and variance of amount that Alice has won or lost. Assume p = 0.64 in the above. Approximately how many times would the coin have to be flipped in order f
Let Y be the random variable that describes the number of parking tickets given out at NCSU throughout the week. It is known that Y has a Poisson Distribution with λ=50. Employ the normal app
What is the standard deviation of the sampling distribution of the sample mean weight?
Consider a chemical company which wishes to find out whether a new catalyst, catalyst XA-100, changes the mean hourly yield of its chemical procedure from historical process mean of 745 pounds per h
Describe that the distribution of Wn converges to a standard normal distribution. Employ Wn and the result in part (a) to derive the formula for an approximate 95% confidence interval for %u03BB.
Test the claim that there is the difference in the mean temperature at alpha=0.05 level of significance. Note: a normal probability plot and box plot of the data indicate that the differences are ap
Determine the estimator of the parameter θ by the method of moments
Compute the probability of drawing 7 red balls in a sample of 30 balls from a bag that contains 46 red balls and 60 blue balls. b)the probability of getting 7 raisins in one cookie in a batch of 102
X is the random variable following a binomial distribution with parameters n = 2 and p = 1/2, and Y is a random variable which follows a poisson distribution with parameter λ = 1. Suppose tha
A current survey indicated that person living in the United States consumes approximately 99 pounds of beef for each year with standard deviation of 16.9 pounds. If sample of 100 persons living in U
A study showed that average number of hours children in U.S. watch television each and every day is four hours with standard deviation of 1.6 hours. If a group of 36 children is chosen at random, de
A current report stated that the 78% of U.S. teens aren't asked for identification when they purchase cigarettes. If 200 teens who just purchased cigarettes are randomly selected, what is the probab
At a large department store, the average number of years of service was 13.5 with a standard deviation of 6.2 years. If an employee is picked at random, what is the probability that the employee has