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The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
Computing the mean and standard deviation for the given data - Find the value for the new standard deviation
What is the difference between an independent and a dependent variable? Does a regression model imply causation? Why or why not?
Note down a research that requires a decision making with probabilities.
Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.
A dish contains 20 gumballs - 9 blue, 6 red and 5 white. We randomly select two gumballs from the dish without replacement. a) Let X be the number of blue gumballs selected. Complete the probability distribution of X by filling in the appropriate p..
When we move from the basic normal distribution to the sampling distribution of the mean we substitute the standard error of the mean for the standard deviation when we make the conversion to the standardized normal distribution.
At α = .05, is there a difference in variances? Illustrate all steps clearly, including the illustration of the decision rule.
Why is the F distribution important? How do you determine if a significant difference exists among the groups in ANOVA? How do you determine differences between the groups in ANOVA?
A random variable Y is uniformly distributed over a range of 0 to 2*pi. Another random variable X is related to Y by X=cos(Y).
a. State the appropriate hypotheses for your significance test. b. Use the sample results to compute the test statistic and the p-value.
At.01 significance level is it sensible to conclude that modification decreased the number of traffic accidents?
Use the t test to determine whether the slope of the regression model is significant at α = 0.05.
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