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1. In an article in the Journal of Management, Morris, Avila and Allen studied innovation by surveying firms to find the number of new products introduced by the firms. A random sample of 100 California based firms are selected. Each firm is asked to report the number of new products introduced last year. The survey found that on average these firms introduced 5.68 products with a standard deviation of 8.70. Compute a 98% confidence interval for the new products introduced last year.
2. The score on the entrance test for a well known law school has a mean score of 200 points and a standard deviation of 50 points. At value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass?
3. A trans-oceanic airline conducted a study to determine whether the average weight of baggage checked by a passenger differs significantly from 45 pounds. A random sample of 25 passenger baggages recorded a mean weight of 43.5 pounds with a standard deviation 6 pounds. Can the airline conclude that the mean weight of checked baggage is significantly different from 45 pounds at a 95% level of confidence?
A random sample of 25 statistics examinations was taken. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is:
A random sample of 12 paired observations indicated a correlation of .32. Can we conclude that the correlation in the population is greater than zero? Use the .05 significance level.
10 cartons are taken at random from an automatic filling machine.The mean net weight of the carton is11.8 kg and standard deviation of 0.15kg. Does the sample mean differ significantly from the intended weight of 12kgs?
A random sample of 20 single men was asked if they would welcome a woman taking the initiative in asking for a date. What is the probability that:
Utilizing your charts stated whether the filling operation has been in control for every of the 18 operating hours this day.
A startup company began manufacturing toy dolls tailored to environmental-oriented customers. Using linear regression, find a linear model for the Cost Function if the company's yearly costs for the next five years were (2005,$8,000,000),(2006,$1..
Victor Anderson, the owner of Anderson Belts, Inc., is studying absenteeism among his employees. His workforce is small, consisting of only five employees.
A person reads a research study of the effectiveness of perineal exercises in preventing urinary incontinence and notes that the number of subjects in each group is 120.
A person claims to have ESP (extrasensory perception). A coin is tossed 16 times, and each time the person is asked to predict in advance whether the coin will land heads or tails.
To report their finding they want to create a 90% confidence interval. What would be the margin error for this confidence interval?
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
Ten prominent citizens have been nominated for a community's "Citizen of the Year" award. First- and second-place trophies are awarded to the two persons receiving the highest and second-highest number of votes.
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