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Find the KKT point for the followin problem: maximize the area of a rectangle whose perimeter is fixed as 2d(>0) and whose width must be less than or equal to twice its lenght
Elucidate the null and alternative hypothesis for the difference among the two means. In testing the difference between the means of two.
Dr. Justin Case wants to explore whether or not students perform better if they cram for a test (massed practice) or if they space their studying over weeks (distributed practice).
Sample of size 26 was taken from normal population with standard deviation 1.697. Approximate the probability that standard deviation of sample is greater than 1.23.
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
Hamburger Joe's sells the best burgers in town. The variable unit cost for making one burger is $.97. The fixed cost of making burgers for 12 months will be a total of: $140,000.
The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Assume the batch contains 1% defective syringes.
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
Determine the shape of chi-square distribution?
Should the finite-population correction factor be used? Why or why not?
In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
For the following hypothesis test where H 0 : m £10 vs. H a : m >10, we reject H 0 at level of significance a and conclude that the true mean is greater than 10 when the true mean is really 8.
The researcher also gathers data on age and major to see if there is any connection between these varibales and frequency of sexual harassment.
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