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Question: On October 5, 2007, a Marysville, Ohio, woman gave birth to her third child. The date of birth for this child was the same as for her two previous children. The Associated Press picked up the story and it was run in newspapers around the country as an amazing coincidence. If births dates are random and independent, a probabilist can show that the chance that three children share the same birth date is about 7.5 in a million. The rarity of the event is what made the story newsworthy.
Just how amazing is this event? In this chapter we will learn how to interpret probabilities like 7.5 in a million. By the end of this chapter you will be able to assess coincidences like having three children who share the same birth date. Are they as surprising as they seem?
In this context, describe what is meant by the power of the test.- If the hypothesis is tested at the 5% level of significance instead of 1%, how will this affect the power of the test?
Refer to Grocery retailer Problem 6.9. Assume that regression model (6.5) for three predictor variables with independent normal error terms is appropriate.
What is the conflict Sarty faces in "Barn Burning," and what event forces him to confront and ultimately resolve it? When does Sarty's moment of change occur?
Does there seem to be any difference in the effect of the antibiotics on clearance of otitis media? Express your results in terms of relative risk (RR). Consider separate analyses for unilateral and bilateral cases. Also consider an analysis combi..
Refer to Exercise 9.42 (p. 503). in which managerial success, y, was modeled as a function of the number of contacts a manager makes with people outside his or her : work unit, x, during a specific period of time. The data are repeated in the tabl..
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the 0.10 level of significance, that the average trunk di..
A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results are below: Because the largest number (47) indicated the new line is outstanding, the head designer thinks that this is a mandate to go in..
According to the U.S. Department of Agriculture's World Livestock Situation, the country with the greatest per capita consumption of pork is Denmark.
The scores on the certain test are "normally distributed with mean 61" and "standard deviation 3". Determine the probability that the sample of 100 students will have the mean score of at least 61.3?
Is there any evidence to suggest the true proportion of companies that require this information is greater than 0.20? Use a = 0.01.
Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. The resource requirements for each product and the total resources available are as follows: a. State the optimal solu..
the probability that a student will pass an exam is 0.8. if we consider a group of 20 students what is the probability
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