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Question: Show that if P(A) = 1, then P(A|B) = 1 for any B with P(B) > 0. Intuitively, this says that if someone dogmatically believes something with absolute certainty, then no amount of evidence will change their mind. The principle of avoiding assigning probabilities of 0 or 1 to any event (except for mathematical certainties) was named Cromwell's rule by the statistician Dennis Lindley, due to Cromwell saying to the Church of Scotland, "think it possible you may be mistaken".
Is there a relationship between sales and newspaper advertising? Support your answer?
Specify the null and research hypotheses in this situation. What constitutes a Type I and a Type II error? Is a Type I or Type II error the more serious error in this situation? Why?
Complete this exercise by hand. A famous brand-name manufacturer wants to know whether people prefer Nibbles or Wribbles. They sample each type of cracker and indicate their like or dislike on a scale from 1 to 10. Which do they like the most?
At the beginning of the study, the researchers theorized that the A/R group would allocate the least audit effort to receivables and that the A/P group would allocate the most. Formally stated, the researchers believed that μAR C AP. Do the result..
Continuing the previous exercise, use the normal approximation to the binomial to answer each of the questions posed in parts a through f.
A survey of 608 adults showed that 401 of them approved of the way city government was being run. Find a 99% confidence interval for the true proportion of voters who approve the way city government is being run.
Draw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on). Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).
A group of 20 sales associates agree to go through a week-long sales class to improve their productivity. The amount of their sales are computed for one month before and one month after the training course.
ABC, Inc. has a total of 53 Visa/MasterCard sales tickets worth $12,867.00. There are 34 Visa sales tickets totaling $7,883.50 and 19 MasterCard sales tickets totaling $4,983.50. How do I figure out how many tickets fell at each of the above 6 qu..
Assume that the following are data from cluster sampling with simple random sampling of clusters. There are 10 clusters (primary units) and a total of 100 secondary units in the population.
the american restaurant association collected information on the number of meals eaten outside the home per week by
Using these data, construct a 95% confidence interval to estimate the average number of days a car is rented out. Assume that the number of days a car is rented is normally distributed in the population. What can you conclude from your calculations?
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