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SC STAT 110 - Chap13_19_hw_questions

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Chapter 13 Homework assignmentChapter 14 Homework assignmentChapter 15 Homework assignmentChapter 17 Homework assignmentChapter 18 Homework assignmentChapter 19 Homework assignmentChapter 13 Homework assignment1.The Wechsler Adult Intelligence Scale (WAIS) is an IQ test. The scores on the WAIS for the 20 to 34 years age group are approximately normally distributed with a mean of 110 and a standard deviation of 15. The scores for the 60 to 64 years age group are approximately normally distributed with a mean of 90 and a standard deviation of 15. Sarah, who is 30, scores 130 on the WAIS. Her mother, who is 60, takes the test and scores 115.True or false: Sarah’s mother scored higher than Sarah relative to her age group.Answer 2.The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a mean of 266 days and standard deviation 16 days. Use the 68–95–99.7 rule to answer the following question. Fill in the blanks:Almost all (99.7 percent) pregnancies fall between ____ to ____ days. (Give your answers as whole numbers.) Answer 1 Answer 2 3.The length of horse pregnancies from conception to birth varies according to a roughly Normal distribution with a mean of 336 days and standard deviation 3 days. Use the 68–95–99.7 rule to answer the following question.Fill in the blank:About ______ percent of horse pregnancies are less than 333 days.Answer 4.The distribution of the heights of young men is approximately normal with a mean of 70 inches and a standard deviation of 2.5 inches.Fill in the blank:The standard score of a height of 72 inches (6 feet) is ___. (Give your answer to onedecimal place.)Answer 5.The distribution of heights of young men is approximately Normal with a mean of70 inches and a standard deviation of 2.5 inches. Use the 68–95–99.7 rule to answer the following question.Fill in the blank:____ percent of men are shorter than 65 inches. (Give your answer to one decimal place.)Answer 6.If you use a computer to generate "random numbers" between 0 and1, you will get observations from a uniform distribution. The followingfigure shows the density curve for a uniform distribution.The curve takes the constant value 1 between 0 and 1 and the value zero outside this range.State whether the following statement is true or false: The total area under the curve is 1.Answer 7.The distribution of the heights of young men is approximately normal with a mean of 70 inches and a standard deviation of 2.5 inches.Fill in the blanks:The heights of the middle 95 percent of men fall between ___ inches and ___ inches. (Give your answers as whole numbers.) Answer 1 Answer 2 8.The length of horse pregnancies from conception to birth varies according to a roughly Normal distribution with a mean of 336 days and standard deviation 3 days. Use the 68–95–99.7 rule to answer the following question.Fill in the blanks:The correct range that contains the middle 95 percent of all horse pregnancies is _____ to ______. (Give your answers as whole numbers.) Answer 1 Answer 2 9.If you use a computer to generate "random numbers" between 0 and 1, you will get observations from a uniform distribution. The following figure shows the density curve for a uniform distribution. The curve takes the constant value 1 between 0 and 1 and the value zero outside this range.Fill in the blanks:The curve is symmetric. The value of the mean is ___, and the value of the median is ___. (Give your answer to 1 decimal place.) Answer 1 Answer 2 10.The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a mean of 266 days and standard deviation 16 days. Use the 68–95–99.7 rule to answer the following question.How long are the longest 2.5 percent of all pregnancies?A.Longer than 282 daysB.Longer than 298 daysC.Less than 234 days11.The stemplot of the IQ test scores of 74 seventh-grade students is displayed.8 6 9 9 0 1 3 3 9 6 7 7 810 0 0 2 2 3 3 3 3 4 4 10 5 5 5 6 6 6 7 7 7 7 8 9 11 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 11 5 5 6 8 8 9 9 912 0 0 3 3 4 412 6 7 7 8 8 813 0 2 13 6This distribution is very close to Normal with a mean of 111 and a standard deviation of 11. It includes all seventh graders in a rural Midwest school except for4 low outliers who were dropped because they may have been ill or otherwise notpaying attention to the test. Consider the Normal distribution with a mean of 111 and a standard deviation of 11 as a description of the IQ test scores of all rural Midwest seventh-grade students.Fill in the blank:The percentage of IQ scores for rural Midwest seventh-graders that scored less than 100 is ______.Answer 12.Congressman Floyd commissions a sample survey of voters to learn what percentage favor him in his race for reelection. To avoid spending too much, he samples only 50 voters. Suppose that only 43 percent of the voters support Floyd.The percentage favoring Floyd in a random sample of size 50 will vary from sample to sample according to a Normal distribution with a mean of 43 percent and a standard deviation of 7 percent. What percentage of all such samples will (wrongly) show that half or more of the voters favor Floyd? A.0.15%B.2.5%C.16%Chapter 14 Homework assignment1.An article published on February 2, 2008 in the Columbus Dispatch reported astudy on distances students lived from campus and average GPA. Here is a summary of the results. Residence Avg. GPAResidence hall 3.33Walking distance 3.16Near campus, long walk or short drive3.12Within the country, not near campus 2.97Outside the country 2.94Identify the statement that is correct about the association between the two variables, distance a student lives from campus, and GPA.A.The association between the two variables is positive.B.The association between the two variables is approximately equal to 0.C.The association between the two variables is negative.2.The scatterplot displays the calories and sodium content in 17 brands of meat hot dogs.Select the most appropriate option. Point A can be considered unusual because: A.It is below average in sodium.B.It is below average in both calories and sodium.C.It is below average in calories.3.The gas mileage of an automobile first increases and then decreases as the speed increases. Suppose that this relationship is very regular, as shown by the


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