stat_book_pset6_spring08 - Book Problem Set #6 Round all of...

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Book Problem Set #6 Round all of your final answers to four decimal places if necessary. #1) A sample survey contacted an SRS of 663 registered voters in Oregon shortly after an election and asked respondents whether they had voted. Suppose that p=0.56 (56% of registered voters actually voted). We will see in the next chapter that p ˆ ~ N(0.56, 0.019). a) What is the probability that the survey result will be within 4 percentage points of the truth about the population? b) What is the probability that the survey result will differ from the truth about the population by more than 2 percentage points? #2) Melissa has invested 40% of her funds in T-bills and 60% of her funds in stocks. If X is the annual return on T-bills and Y the annual return on stocks, the portfolio rate of return is: R= 0.4X + 0.6Y The returns X and Y are random variables because they vary from year to year: X= annual return on T-bills μ X = 6 σ X = 4.2 Y= annual return on stocks μ Y = 14 σ Y = 15 correlation between X and Y
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stat_book_pset6_spring08 - Book Problem Set #6 Round all of...

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