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An official of the Iowa department of Highways wants to compare the useful life, in months, of two brands of paint used for striping roads. The mean number of months Cooper Paint lasted was 36.2, with a standard deviation of 1.14 months. The official reviewed 35 road stripes. For king Paint, the mean number of months was 37.0, with standard deviation of 1.3 months. The official reviewed 40 road stripes. At 0.01 significance level, is there a difference in the useful life of the two paints?
In the year 2006 the mean fare to fly from Charlotte, North Carolina, to Seattle, Washington, on a discount ticket was $267. A random sample of round-trip discount fares on this route last month gives:
Nut problem: Manager claims 336g and a population standard deviation of 11g. We sample 64 bags and find
What is the importance of the null hypothesis? Why has it been the backbone of mainstream hypothesis testing for decades? What are its limitations?
Assume that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4.
Metal detectors at airports are used to determine whether passengers are carrying weapons. If the null hypothesis states that a passenger isn't carrying a weapon, a type I error would occur whenever
using a significance level of .05, test the hypothesis that the intake of linoleic acid in this group is lower than that of the general population. Also, compute a p-value for the hypothesis test.
The following table is based on information taken from the Medical Practice Characteristics section of the Statistical Abstract of the United States
Why is "rounding-down" the LP solution the suboptimal way to solve Integer programming problems? Can you describe why?
Test hypothesis that mean weight of 2 sheets are equal against alternative that they are not(suppose equal variances). Use α=0.05 and suppose equal variances. Determine the P value.
What is the difference between strong negative and strong positive correlation? What does zero correlation tell you? Can you share a relationship between two variables that is typically negative?
What proportion of the hearing loss in all the workers was attributable to not wearing earplugs?
The standard screening test for Down's Syndrome is based on combination of maternal age and the level of serum alpha-fetoprotein. Using this test 80% of Down's syndrome cases can be identified, while 5 % of normals are detected as positive.
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