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Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?). How many such polynomials you think there are? What if I add the constraint that the value of this polynomial is zero when the variable x is equal to 1, how many such polynomials can you find?
It seems that simulation could handle any situation or study. But is that always true? Discuss instances in which a simulation would be important and useful, and then a situation in which a simulation would not be appropriate.
Survey was mailed to a total of 400 students; 100 were randomly selected from each of the freshman, sophomore, junior and senior classes last semester. What sampling method was used?
A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a colour television is $90 with a standard deviation of $22. Monte's TV Sales and Service completed repairs on two sets this morning. The labor cost for the..
There are 4 entrances to a building in Philadelphia. The bldg maintenance super would like to know if the entrances are equally utilized. To investigate, 400 people were observed entering the building.
Given the hypothesis Ho: u=400, you conduct a sample of 12 observations and obtain a sample mean of 407 and a sample standard deviation of 6. Using a .01 significance level to test to see if you would reject Ho, what would be the value of your cri..
Mention the critical value of test statistic (Or give the p-value of the test.)
Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.
A sample of 20 is taken, resulting in a mean of 16.45 and standard deviation of 3.59. Assume that x is normally distributed and used alpha of 0.5 to test hypotheses.
A spokesman for a popular television game show claims that contestants on the show win an average of $1200. In a random sample, 35 contestants were questioned on the amount of money they had won in order to test the hypothesis.
According to a survey reported in the Business Week, 30% of adults in the U.S. said that the cell phone is the invention that they hate most but cannot live without.
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour.
In an exam, the mean score is 70 and the variance is 16. What is the probability that a student's score will lie within the "54 to 86" range?
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