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Basic concepts. For each of the following, answer the question and give a short explanation of your reasoning.
a) A 95% confidence interval for the difference between two means is reported as (- 0.1, 1.5). What can you conclude about the results of a significance test of the null hypothesis that the population means are equal versus the two- sided alternative?
b) Will larger samples generally give a larger or smaller margin of error for the difference between two sample means?
A box contains 3 blue marbles and two red marbles. If two marbles are drawn randomly and without replacement, find the probability that (a) at least one of the marbles is blue
Point out your final decision concerning hypothesis test and compute p-value for test.
The monthly income of residents of Dayton is normally distributed with a mean of $3000 and a standard deviation of $500.
Does the confidence interval contain the value of 35 mm, which is believed to be the standard deviation of sitting heights of women?
Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given gata, and consider only linear, polynomial (degree 2) logarithmic, exponential, and powe..
In his wardrobe at home, a businessman has 7 suits and 8 ties. From those suits and ties he has on hand, he plans to take 3 of the 7 suits and 2 of the 8 ties with him to a conference in San Francisco.
Political prisoners Mathew, Mark, and Luke are told that two of the three are to be executed. Matthew takes the jailer aside and says, "We both know that at least one of the others, Mark or Luke, will be executed
If you randomly select ten m&m's, what is the probability that exactly three of them are green?
The password of 52 digit sequence is made. It consists of 0 and 1. How various different possibilities exist for networks password.
Where does the p-value come from for the spatial scan statistic used in SaTScan? How Monte Carlo simulation is used to derive a p-value for a cluster ?
What is the probability that the trainee class will consist entirely of men or women? Round your answer to the nearest thousandth.
Suppose we randomly select two students from a mathematics class and asked whether the student selected each time is a member of a math-club or not. Write all the outcomes for this experiment. Draw the Venn and Tree diagrams for this experiment.
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