... -> Assignment 2 - Exponential Growth -> Assignment 2 - Exponential Growth

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Assignment 2 Questions

    Make sure you show all work/reasoning - that is select an answer and justify it.

  1. If the pond lily population doubles everyday and it takes 30 days to completely cover a pond, on what day will the pond be 1/4 covered?

    1. day 4
    2. day 8
    3. day 15
    4. day 20
    5. day 28

  2. On what day will the pond be 1/2 covered?

    1. day 15
    2. day 20
    3. day 25
    4. day 28
    5. day 29

  3. The amount of lillies produced between day 29 and day 30 is

    1. equal to the entire amount of lillies produced previously
    2. is twice as large as that produced between day 14 and day 15
    3. about the same as produced between day 28 and day 29
    4. the same as between any 2 days since the growth rate is constant

  4. A different lilly pond has more nutrients and has a pond doubling time of 16 days. On approximately what day is 10% of the pond covered?

    1. day 1
    2. day 2
    3. day 5
    4. day 9
    5. day 13

  5. The current population of Eugene is 140,000 people. If the population growth rate remains at 4% per year, approximately when will the city of Eugene have 500,000 people?

    1. the year 2010
    2. the year 2022
    3. the year 2035
    4. the year 2050
    5. the year 2095

  6. Based on the last 300 UO Duck football games, the average points scored by the opposition was 23 points with a dispersion of 7 points. Therefore, 2/3 of the time that you attend a duck football game you would expect the opposition to score between

    1. 23 and 30 points
    2. 16 and 23 points
    3. 16 and 30 points
    4. 23 and 37 points
    5. insufficient information to know
  7. Based on the Duck football game data, a 1 in 100 scoring event by the opposition would be

    1. more than 23 points
    2. more than 30 points
    3. more than 37 points
    4. more than 41 points
    5. more than 45 points
  8. The Columbia River near Pasco has had about 100 years worth of flood measurements made. Those data indicate a mean flood of +9.0 feet with a dispersion of 5.0 feet around that mean. Based on this data what would be the flood stage of a "1000" year flood?

    1. 9.0 feet
    2. 14.0 feet
    3. 19.0 feet
    4. 24.0 feet
    5. can't tell from the data given

    A survey of 25 gas stations in the Eugene Area showed an average price for unleaded gas of $4.25 per gallon with a dispersion of 10 cents. A survey of 25 stations in the Portland area had an average of $4.35 per gallon with a dispersion of 10 cents. A survey of 50 stations in the Seattle area had an average of $4.30 per gallon with a dispersion of 21 cents.

  9. What is the probability that in Eugene you will pay more than $4.45 per gallon?

    1) 50% 2) 15% 3) 5% 4) 1% 5) .1 %

  10. What is the probability that in Portland you will pay more than $4.45 per gallon?

    1) 50% 2) 15% 3) 5% 4) 1% 5) .1 %

  11. Which location has the highest probability of paying $4.50 or more per gallon.

    1) Eugene 2) Portland 3) Seattle

  12. About how many gas stations would I have to go to in Eugene to find a price of $4.00 per gallon?

    1) 10 2) 25 3) 50 4) 100 5) 1000

  13. The difference in mean gas prices between Eugene and Portland is

    1) not significant 2) marginally sig. 3) sig. 4) highly sig

  14. The following data represent the average GPA of UP Students as a function of year. Divide the data into two halves and determine if the GPA of the second half is significantly higher than in the first half of the data. 

     1972 2.45
 1973 2.46
 1974 2.45
 1975 2.44
 1976 2.47
 1977 2.48
 1978 2.5
 1979 2.52
 1980 2.56
 1981 2.58
 1982 2.58
 1983 2.58
 1984 2.57
 1985 2.6
 1986 2.6
 1987 2.59
 1988 2.58
 1989 2.6
 1990 2.64
 1991 2.66
 1992 2.74
 1993 2.76
 1994 2.79
 1995 2.78
 1996 2.8
 1997 2.82
 1998 2.84
 1999 2.79
 2000 2.82
 2001 2.85
 2002 2.87
 2003 2.89
 2004 2.91
 2005 2.9
 2006 2.93
 2007 2.94