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The following probabilities have been assigned to various subsets of the sample space S.
A= (0.05, 0.10, 0.10, 0.15)B= (0.05, 0.10, 0.10, 0.15)C= (0.05, 0.05, 0.10, 0.175)a. Are the three events A, B and C pairwise-independent events?
A is independent of B or not? P(A)=0.40 P(B)=? so, we want to test P(A∩B)=P(A)*P(B) condition has to hold for those events to have a pair-wise independence. If P(A∩B)=0.20, then P(A)*P(B) = 0.16, that tells that these events are not independent.B is independent of C or not? Focus on probabilities assigned in the subsets, 0.05 is repeated in C, but 0.10 is repeated in B, so P(A∩C)=?A is independent of C or not?
Perform an appropriate hypothesis test, showing all critical steps. Do you support Bob's claim that citizens in his area spend more than $75 per year? Explain why or why not.
If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?
Critically discuss the Central Limit Theorem? How large should the sample size be if the underlying distribution of the population values are:
using a significance level of .05, test the hypothesis that the intake of linoleic acid in this group is lower than that of the general population. Also, compute a p-value for the hypothesis test.
Suppose a organization takes a random sample of 1000 voters and ask them whether they approve of the job performance of the president. What sampling distribution is related to thin process.
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour.
Advertising coefficient is 200 and t stat is 1.75. Which of the following statements is an accurate interpretation of the situation when using an alpha of .10
In a sample of 14 of the bowling balls the sample standard deviation was found to be 0.52 pounds. Construct a 95% confidence interval for the variance of the bowling ball weight.
If Belson Electronics's new converter produces less than the 110 volts of their old product, they must redesign it. A sample of 303 converters generated a mean of 107.2 volts, with a standard deviation of 47.3 volts. Set Alpha at 5 percent.
The following data (in pounds), which were selected randomly from a normally distrubuted population of values, represent mearsurements of a machine part that is supposed to weigh, on average, 8.3 pounds.
The following data show samples of three chain stores in three different locations in one town and the amount of dollars spent per customer per visit. At the 0.05 level, is there a difference among the means?
Conduct a one-tailed hypothesis test given the information below. A certain brand of Green Energy light bulbs was advertised as having an average illumination life-span of 2,500 hours. A random sample of 50 bulbs burned out with a mean life-span o..
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