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The election is one week away. You think you have the election sewn up, but the seem appears to be unraveling. You run a poll, draw a random sample of 500 adults. 54% say they will vote for your candidate. Will your candidate win? Prove it.
Let X equal the number of "ones" if a fair dice is tossed two independent times by someone out in the hall. If X=x that person gives the player a bowl consisting of 10-3x red chips and 3x white chips.
When using past data, I have found that the proportion of items rejected by quality control personnel is about 3%. We normally make 5000 items per day. For a p chart, what are the upper and lower control limits?
A sample of 46 bars is taken and their mean length is determined to be 51 centimeters with a standard deviation of 3.6 centimeters. Using a .01 significance level, test the retailers claim that the population mean is less than 50 centimeters.
A sample of 350 lenses and found 5 lenses with surface defects. Formulate an appropriate test for the qualification of the polishing machine using an α = 0.05."
The diameters of peaches in a certain orchard are normally distributed with a mean of 5.10 inches and a standard deviation of 0.40 inches.
If random sample of 9 loads is selected for weight check, determine probability that mean weight of those loads is more than 40.60 tons.
A study of elephants is conducted to determine the average weight of a certain subspecies of elephants. The standard deviation for the population is 500 pounds.
List the simple events in the sample for this experiment. Assuming that each pair of city council members has an equal chance of being selected, assign probabilities to each simple event.
We have already been introduced to sensitivity analysis via the geometry of a simple example. We saw that the values of the decision variables and those of the slack and surplus variables remain unchanged even though some coefficients in the objec..
Determine and report the within-group slope which relates Y to Xc (for this, you will have to look at your regression printout).
Assume the data have bell shaped distribution with a mean of 30 and a standard deviation of 5. Employ the empirical rule to determine the percentage of data within each of the following ranges: 20 to 40, 15 to 45, and 25 to 35.
A sample of 60 students from a large university is taken. The average age in the sample was 22 years with a standard deviation of 6 years.
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