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A random variable X is normally distributed with the mean 7 and standard deviation 2; Z is a standardized normal random variable (E(Z)=0,?σ?(Z)=1). Real numbers a and b are such that P(3<X<7)=P(a<Z<b). Find a and b.
Regarding absences for that year: 4, 4, 3, 2, 6, 8, 7, 1, 9, 3, 1, and 6. At the .05 level of significance, is there convincing evidence that the number of absences per employee has increased?
Test of product quality using human inspectors can lead to serious inspection error problems. To evaluate the performance of inspectors in a new company, a quality manager had a sample of 12 novice inspectors evaluate 200 finished products.
Suggest reasonable values for n and p (binomial) or mu (poisson) for your example. Calculate the mean and standard deviation of the distribution for your example.
(a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? (b) If = 48.3 and s = 8.5, compute the test statistic. (c) Draw a t-distribution with the area that represents the ..
What is the importance of a clearly stated hypothesis in research? What harm might an ambiguous hypothesis do? Use an example to illustrate your answer.
Find out whether palliative care improves the mental health of people with advanced HIV.
a. Would you use a test of homogeneity or a test of independence to answer this question?
Suppose that an independent random sample of 125 graduates of a competing technical institute reveals that 92% of these graduates got jobs. Is there evidence to conclude that one institute is more successful than the other in placing its graduates..
Exercise presented a table in which men were classified according to whether or not they had a pierced ear and a tattoo. Of the 424 men with no pierced ear.
Describe a way to measure the DV
state (i) the independent variable or variables, and their levels where appropriate, (ii) the dependent variable(s), and (iii) what category of research design is being used:
What is statistics? In what applications are statistics used?
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