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Q1) The probability is 1 in 4,000,000 that single auto trip in United States will result in fatality. Over lifetime, an average U.S. driver takes 50,000 trips.
(a) Determine the probability of the fatal accident over a lifetime? Describe your reasoning carefully. Suppose independent events. Why might supposition of independence be violated?
(b) Why might driver be tempted not to use seat belt "just on this trip"?
Q2) A certain airplane has 2 independent alternators to give electrical power. Probability that a given alternator will fail on the 1-hour flight is .02. Determine the probability that:
(a) both will fail?
(b) Neither will fail?
(c) One or the other will fail? Show all steps carefully.
What is the probability that the cereal would be high calorie? In other words, what is P (high calorie)?
A random sample of 100 students at Southern University was collected. The mean age was found to be 24.2 years, with a standard deviation of 3.4 years.
As it is a 2 _ 2 table, try also two-tailed two-sample z test for ð1 = ð2 and verify that z2 is same as your chi-square statistic. Which test do you favour? Describe why?
Compare a tabular cum sum chart using standardized values h = 5 and k = 1/2. What is the information you learn.
State in each of given cases whether you would expect relationship between given variables to be positive or negative or neither.
Calculate the probability that the median of the sample or average medians is:
We want to know if his support has decreased. In computing a test of hypothesis with , what is the estimate of the overall proportion?
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
The amount ($1.00, $5.00, $10.00, $25.00, or $50.00) promised to each person was determined by randomization. For each person who was sent one of the surveys, The value of the X2 test statistic for testing the hypothesis
The Wilcoxon rank sum of the ranks for group and The value of the Wilcoxon signed rank statistic
Run an ANOVA using only groups 1 to 6 (You can hide group 7 from the analysis by data followed by select cases and then you filter out group 7 by if GROUP~= ). Also run the posthoc tests LSD and Bonferroni.
Prepare a power curve for this decision rule
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