PART Il: Answer the following 5 questions. Show your work or explain how you obt
ID: 3055400 • Letter: P
Question
PART Il: Answer the following 5 questions. Show your work or explain how you obtained your answers. No credit granted otherwise. (8 points each) 6. Data on home recently sold in a certain town included the area of the home, reported in square feet. The table below shows summary statistics fo the reported areas, in square feet Mcan Minimum1 Median 3 MaximumStandard Deviaticn 1.75414| 15% 610723 1.7041.75801.843 An auditor determined that an error was made in the reported areas and that all of the areas should have been 100 square feet greater than what was reported. The areas were corrected and new summary statistics were reported. What are the interquartile range (1QR) and the standard deviation of the corrected areas? 7. A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot tate a difference between bottled water and tap water, what is the probabiltiy that at least 8 of 9 participants will correctly identify the tap water? 8. Suppose a married man and woman both carry a gene for cystic fibrosis but don't have the disease themselves. According to the laws of genetics, the probability that their first child will develop cystic fibrosis is 0.25 a) Explain what this probability means.Explanation / Answer
a). If it were possitbe for the couple to have many, many first born children, then approximately 25% of these "first" borns would have cystic fibrosis. OR if we were to survey many, many families that have this same probability, approximately 25% of them would have a first born child with cystic fibrosis.
b). No, this is not guaranteed. This is stated as a probability for the first born child. Secondly, (as explained in part (a),) if the probability does apply to all the children, then if the couple had many, many children, approximately 25% of them would have cystic fibrosis.
If the family has 4 children, this constitutes a sample of size 4, which is very small. For the probability to be closely reflected in the sample, the sample size must be very large.
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