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# Focus7 - founding will be 34 years or less? (34-110)/34 = z...

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STAT 210 FOCUS EXERCISE 7 Initial response due: Monday, October 23 Second response due: Monday, October 30 For the population of all colleges in the United States, the number of years since founding is known to follow an approximate normal distribution with mean 110 years and standard deviation 34 years. Use this information to answer the following questions. 1. Some of the oldest colleges in the country are located in the Commonwealth of Virginia, including the College of William and Mary, founded in 1693 and the second oldest college in the nation. Based on the distribution described above, what must the number of years since founding be for a college if it falls in the top 0.10% of the distribution? (Hint: note that 0.10% and 10% are different percentages). Z = 0.001 110+4.08x34 x = 248.72 2. George Mason University is the youngest state-supported institution in Virginia, having been founded 34 years ago in 1972. Based on the distribution described above, what is the probability that the number of years since
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Unformatted text preview: founding will be 34 years or less? (34-110)/34 = z z = 2.235 p = 0.012 3. Along with Virginia Commonwealth University, the two largest institutions in the city of Richmond are Virginia Union University (founded in 1899, 107 years ago) and the University of Richmond (founded in 1830, 176 years ago). Based on the distribution described above, what is the probability that the number of years since founding will be between 107 and 176 years? (107-110)/34 = z z = -0.088 p = 0.4641 1 - p = 0.5359 (176-110)/34 = z z = 1.941 p = 0.9738 p2-p1 = 0.5097 4. SCHEV wants to determine the number of years since founding for the colleges that fall in the middle 50% of the distribution. Based on the distribution described above, between what two values will the middle 50% of the number of years since founding values fall? Hint: draw a picture, mark the middle 50%, and convert to two less than problems. p = 0.25 z = -0.67-0.67 = (x-110) / 34 x = 87.22 p = 0.75 z = 0.67 0.67 = (x-110) / 34 x = 132.78...
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## This homework help was uploaded on 04/09/2008 for the course STAT 210 taught by Professor Basu during the Fall '06 term at VCU.

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