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A state university uses thousands of flourescent light bulbs each year. The brand of bulb it currently uses has a mean life of 800 hours. A competitor claims that its bulb, which cost the same as the brand the university uses, have a mean life of more than 800 hours. The university has decided to purchase the new brand if, when tested, the evidence supports the manufactuer claim at the .05 significance level. Suppose 49 bulbs were tested with the folowing results: x-bar = 827.5 hours, s= 70 hours. Conduuct the test using alpha=.05.
A contractor is considering a sale that promises a profit of $34,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $16,000 with a probability of 0.3. What is the expected profit?
The trial failed to show significance. How many subjects would be required to detect the difference in proportions observed in the trial with 80% power?
Scores of an aptitude test are normally distributed with a mean of 280 and a standard deviation of 30. Determine the percentage of samples of size 4 that have a mean score within 21 points of the population mean score of 280.
6 are won by peace and 4 are won by queen and 2 end in a draw. they agree to play a tournament consisting of 3 games. Find the probability that: 2 games end in a row.
When doing hypothesis testing we have two ways of making a decision - the critical value method and the p-value method. While both give the same results in terms of determining whether to reject or not reject the null hypothesis
Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 24.80 mpg and a standard deviation of 6.2mpg for highway driving. Assume that a normal model can be applied.
Metal stamping machine is producing 10 defective parts per hour. Determine the probability that three or fewer defective parts will be output in a randomly chosen hour, by using the Poisson distribution?
Determine a 95% confidence interval for true mean cost to repair this type of car.
The following data represent the cost of electricity for the period of July 2008 for a random sample of 50 one-bedroom apartments in a large city.
A U.S. Travel Data Center survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 99% confidence interval of the true proportion of adults who favor visiting historical sites as vacations.
A sample of 120 homes sold recently in a big city gave the mean price of homes equal to $270,000 and the standard deviation equal to $70,000. (a) What is the point estimate of the mean price of all homes in the big city?
Determine the probability of selecting sample with a mean of more than $100,000 but less than $112,000.
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