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Suppose that you perform a significance test regarding a population mean and that the evidence does not warrant rejection of the null hypothesis. When formulating the conclusion to the test, why is the phrase fail to reject the null hypothesis more accurate than the phrase accept the null hypothesis? Why can the null hypothesis not be proved? Explain.
X is a continuous random variable uniformly distributed on [20, 45] that is, the end points c = 20 and d = 45.
Make up a scatter diagram with 10 dots for each of the following situations:
The only difference is that the first group is comprised of athletic persons and the second of non-athletic ones.
A random variable has a standard deviation of 16, and an unknown mean. Find the lowest size of a simple random sample so that the sample mean estimates the population mean with a standard error no larger than 0.25.
What are the differences between probability distribution functions and probability density functions? Why do we care?
Is there any evidence that the different teatments produced different responses? If so, which one seems to work best?
The reason why we finish our calculation by dividing range by 4 is that in most data sets 95% of the data values fall within two standard deviations of the mean.
Design a contingency table that will hold your data. What are your degrees of freedom and critical value at a 0.05 confidence level? You do not need data to answer this.
When such digits are randomly generated, what is the distribution of those digits? Given such randomly generated digits, what is a test for "goodness-of-fit"?
Either no change to the Objective function or a raise in the value of the objective function depends on the constraint.
Using a significance level of 0.05, perform a hypothesis test to see if the workers are right, and you need to hire more help. Write your hypotheses, calculate your test statistic and decide whether or not to reject your null.
Suppose that you're charged with comparing results of standardized tests from four different school districts. What statistical technique would you choose to use?
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