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Stat 104 Final Exam Solutions

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Statistics 104: Quantitative Methods for Economists
Fall 2010 Final Examination Directions This exam is open book/open notes. Calculators are allowed but not laptop computers. The exam will end 3 hours after it begins. The exam is divided into two parts. The first part is multiple choice and true/false. Please answer these questions on the exam by circling the best answer (some rounding occurs in several places). The second part of the exam consists of several problems. Please answer these problems in the space provided on the exam (you may use the backs of the sheets if necessary). You will get partial credit for these problems provided that your answers are organized and legible so that your train of thought can be easily followed.

Good Luck
By Printing my name below I acknowledge that Harvard has an honor code and that I will adhere to it. Failure to abide by the honor code could result in failing this course and having to wash Professor Parzen’s car with my toothbrush.

NAME: _____________Keyser Soze_______________________________ (-50 if not printed)

Question Multiple Choice Long 1 Long 2 Long 3 Long 4 Long 5 Total

Points 100 5 18 12 12 18 165

Obtained

1

Multiple Choice (3 points each)

1) The standard deviation of the normal distribution shown above is approximately a) σ = 100 b) σ = 90 c) σ = 15 d) σ = 10

2) As the degrees of freedom for the t distribution increase, the distribution approaches a) b) c) d) The value of zero for the mean. The t distribution. The normal distribution. The binomial distribution.

3) Which of the following statements about the Central Limit Theorem (CLT) is correct? a) The CLT states that the sample mean x is always equal to the population mean,  . b) The CLT states that the sampling distribution of the sample mean x is approximately normal for large sample sizes ( n  30 ). c) C) The CLT states that

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