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Assume R is commutative ring. Prove that the following are equivalent:
a) R has exactly 1 prime ideal
b) Every element of R is either nilpotent or a unit.
c) R/N(R) is a field
Here N(R) denotes the nilradical of R. The set of nilpotent elements form an ideal called the nilradical of R
Compare value of test statistics F obtained in part(2) with value of t 2 , square of test statistic for testing H 0 : β 1 =0 that was needed in test null hypothesis that true slope is 0. Interpret the results of this test.
A recent study found that the average life expectancy of a person living in Africa is 53 years with a standard deviation of 7.5 years. If a person in Africa is selected at random
If sales is the variable you are trying to explain and you have 2 independent variables of color and price. The color coefficient is 100, and the price coefficient is -200.
A random sample of 13 four-cylinder cars is obtained and the breaking distances are measured and found to have a mean of 137.5 ft and a standard deviation of 5.8 ft.
An overnight express company must include seven cities on its route. How many different routes are possible, assuming that it matters in which order the cities are included in the routing?
Based on these results, is there significant difference between attitudes for males and for females? Use two tailed test with alpha = .05.
John makes a mark on a straight stick that is 1 meter in length; you assign a uniform distribution to the location of the mark(uniform over the entire length of the stick). John cuts the stick at that mark, making two sticks.
Write matlab Code for regression. one paragraph discussion of the project comprising method used and conclusions: regression results
Compute the number of French fries that would have to be sampled and measured to be 98% sure of being within 0.4 cm of the true mean.
How would you communicate this information to the Vice-President of Human Resources in non-statistical language.
A geography teacher is interested in the link between mathematical ability and the ability to visualize three dimensional situations.He gives a group of 15 students a test and records each students score
Create a 99 percent confidence interval for mean daily intake of milk. You may suppose daily intake amounts are usually distributed.
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