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Honors Statistics October 31-November 4, 2011

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Page 1: Honors Statistics October 31-November 4, 2011. Monday, October 31, 2011 Honors Statistics 1.The asteroid belt altogether has about 4% of the mass of earth’s

Honors Statistics

October 31-November 4, 2011

Page 2: Honors Statistics October 31-November 4, 2011. Monday, October 31, 2011 Honors Statistics 1.The asteroid belt altogether has about 4% of the mass of earth’s

Monday, October 31, 2011Honors Statistics

1. The asteroid belt altogether has about 4% of the mass of earth’s moon, which in turn is about 6% of earth’s mass. What percentage of earth’s mass is the asteroid belt altogether?

2. What percentage of a normally distributed population falls between -2σ and σ?

3. What percentage of a normally distributed population falls between the mean and 2σ?

4. Using the table in Appendix G of the textbook, calculate the percentile of a person receiving a 696 on the SAT. If she got 34 points higher, what percentile would she be in?

Page 3: Honors Statistics October 31-November 4, 2011. Monday, October 31, 2011 Honors Statistics 1.The asteroid belt altogether has about 4% of the mass of earth’s

Tuesday, November 1, 2011Honors Statistics warm-up

1. What is “Halloween” an abbreviation for?2. The Wall Street Journal claims that self-published

authors have increased by 160% from 2007 to today. They base this calculation on 865 self-published authors in 2007, to 1,245 authors today. Is their calculation correct?

3. Find the following z-values that correspond to the following percentages, using the z-table in Appendix G:

1. 25%2. 66.67%3. 90%

Page 4: Honors Statistics October 31-November 4, 2011. Monday, October 31, 2011 Honors Statistics 1.The asteroid belt altogether has about 4% of the mass of earth’s

Wednesday, November 2, 2011Honors Statistics warm-up

1. What number would reflect a 243% growth of 76?

2. Using the z-tables in Appendix G of the textbook, what is the area between -2.5 standard deviations and +.43 standard deviations?

3. Find the standard deviations (using the normal model) for 43.2%, 2.5%, 75%, and 87.5% of the total population.

Page 5: Honors Statistics October 31-November 4, 2011. Monday, October 31, 2011 Honors Statistics 1.The asteroid belt altogether has about 4% of the mass of earth’s

Thursday, November 3, 2011Honors Statistics warm-up

1. The Santa Monica Police Department claims that traffic deaths from all causes declined in California by 11.9 percent, from 3,081 killed in 2009 to 2,715 in 2010. Assuming that the numbers of deaths for each year are correct, is the percentage calculation accurate?

2. A manufacturer seeks to market a new product. The response to a survey are distributed normally, and for reasons known but to the manufacturer, they want to market only to the people who score between -2.13σ and -.96σ, and those who fall between 1.18σ and 1.84σ. What is the percentage of the entire population that the manufacturer is trying to reach?

Page 6: Honors Statistics October 31-November 4, 2011. Monday, October 31, 2011 Honors Statistics 1.The asteroid belt altogether has about 4% of the mass of earth’s

Friday, November 4, 2011Honors Statistics warm-up

1. Convert 3.55 Euros into dollars, given a conversion of $1.63 per euro.

2. Convert 3 inches into millimeters. (You’re on your own for finding the conversion ratio!)

3. Convert 75 kilos to pounds.4. Convert lead to gold, the alchemists

dream….this is your freebie; you don’t have to answer! See you Monday. --Hartley