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Researchers were interested in looking at the vitamin C loss of a wheat soy blend. They measure the vitamin C content of 5 different samples of the wheat soy blend before and after cooking. Test to
A researcher suggests that male nurses earn more than female nurses. A survey of 16 male nurses and 20 female nurses reported following data. Make a 90% confidence interval for the difference
Two different levels (low and high) of each fac- tor were chosen, and single observation upon flow was made for each combination of levels.
A real estate agent compares selling prices of homes in two municipalities in southwestern Pennsylvania to see if there are differences in price. The results of the study are shown below. How would
How many different orderings of the top 4 would be possible (order does matter)?
You survey 300 people and find that 75 of them have been to the concert in the last year. You want to compare this to 10% value known for US population. What test will you use:
You survey 300 people and find out that 80 of them don't have siblings. Is this significantly different from 25% know for the US average? Find out the z* value that you will employ to test this questi
According to an airline, a specific flight is on time 91% of the time. Assume 49 flights are randomly chosen and the number of on time flights is recorded. What is the probability that between 42 an
The metropolitan area of Los Angeles-Long Beach, California, showed the largest increase in the number of jobs between 1986 and 2001. The number of jobs increased from 5,147,400 to 6,290,500. What
If we had 6 red balls and 6 green balls(all enumerated), and if we were randomly picking the pair of those balls, the probability of having 3 pairs of red balls only would be computed by the followi
A 95% confidence interval for mean, µ, of a population computed from a random sample is found to be 9 ± 3. Based on this, which of the following statements is true?
An unbiased estimator will have a value, on average, that is equal to the value of the population parameter it estimates, regardless of sample size. True or False?
A population consisting of 500 items has the mean of 150 and standard deviation of 25. If random samples of size 100 are taken, determine the value of the standard deviation of the sample average?
Random samples of size 100 are taken from infinite pouplation in which 20% of the items have a specific characteristic. What is that probability that the sample proportion observed in any random sam
For each given p, let Z have the binomial distribution with parameters p and N. Assume that N has binomial distribution with parameters q and M. Formulate Z as a random sum and show that Z has binom
Random samples of size 225 are taken from an infinite pouplation in which 90% of the items have a particular characteristic. What are the mean & standard deviation of the sampling distribution f
A sample of 400 observations will be taken from the infinite population. If the population proportion is 0.80, what is the probability that p-hat will be greater than 0.83?
Determine the conditional probability that someone has the disease, given a positive test result? Hint: you need to be familiar with the Bayes rule and the total probability rule.
The lifetime of a special type of bulb is exponentially distributed with the mean of 30 hours. A bulb is employed till it fails, at which point it is replaced by the new one.
Thirty-three college freshmen were randomly chosen for on-campus survey at their university. The participants' mean GPA was 2.5, and the standard deviation was 0.5. Determine the margin of error, s
At OHB bank, average employee salary is $40,000 per year with variance of 4,000,000. The CEO decides to award bonuses in following way:
A college student takes the standardized test and scores a 163. If the mean is 155 and standard deviation is 7, determine the student's percentile rank? (Assume a normal distribution.)
What price should you charge for midsized automobile if you expect to maintain your record sales?
A monopoly is considering selling several units of the homogeneous product as a single package. A typical consumer's demand for the product is Qd = 100 - 0.5P, and the marginal cost of production is
You choose random sample of size four from population consisting of 15 men and 5 women.