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A company claims to have invented a hand-held sensor that can detect the presence of explosives inside a closed container. Law enforcement and security agencies are very interested in purchasing several of the devices if they are shown to perform effectively. An independent laboratory arranged a test. They placed four empty boxes in the corners of an otherwise empty room. For each trial they put a small quantity of an explosive in one of the boxes selected at random. The company's technician then entered the room and used the sensor to try to determine which of the four boxes contained the explosive. The experiment consisted of 50 trials, and the technician was successful in finding the explosive 16 times. Does this indicate that the device is effective in sensing the presence of explosives?
1.Test an appropriate hypothesis and state your conclusion.
2.Was your test one-tail upper tail, lower tail, or two-tail? Explain why you chose that kind of test in this situation.
3.Explain what your P-value means in this context.
Assuming an exponential service rate μ, set this up as a birth and death process and determine the birth and death rates.
The average weight of 40 randomly selected minivans was 4150 pounds. The standard deviation was 480 pounds. Find the 99% confidence interval of the true weight of the minivans.
The mean monthly demand for steam boilers is 6.8 with a standard deviation of 1.7. Compare the dispersion of these distributions. Which demand pattern has more relative variation? Explain.
"Give an example of a statistic that you have heard quoted in the media that you do not believe is accurate either due to bias or other incorrect statistical methods. Describe the relevant population and the source (e.g. newspaper, TV, radio, inte..
A) Resistant statistics should always be used. B) Resistant statistics should be used when the data is not bell-shaped. C) Sensitive statistics should be used when the data is not bell-shaped. D) Sensitive statistics should always be used. E) Resista..
What are the assumptions regarding an ANOVA test and what Excel aid would you use to perform the test, Data Analysis or MacDoIt? What are the assumptions regarding a Chi-square test?
Normally distributed with a mean of 9.75g and a standard deviation of 0.08g. Find the weights that separate the top 5% and the bottom 5%.
The store manager is under impression that his sales people do more business if they score higher on the social skills test which was administered this year. 5 victims were selected at random. Below, the results are X =test score, Y =weekly sales ..
What percentage of items will weigh between 6.4 and 8.9 ounces?
If the pairing is done at random, what is the probability that there are no white-black roommate pairs?
Can you tell me what are the advantages and limitations of applying nonparametric tests in solving business problems?
Sensitivity of 0.98 and false-positive rate of 0.01. Calculate and interpret meaning of PV+, if test is used in the population which has the disease prevalence of 0.001.
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