Answer: C- Alzania's neighbor exported half its production of cotton that year
Explanation: Alzania produces and consumes 500,000 tons of cotton during a year. While, the neighbor which also employs the same number of people in the cotton industry, consumed 400,000 tons of cotton. There is no information on production of the neighbor. Just by looking at the consumption units we can argue that Alzania has an absolute advantage over the neighbor as it consumes more. However, if there is any information on the amount of exports of cotton from the neighbor then it will weaken the absolute advantage conclusion.
Thus, if <em>Alzania's neighbor exported half its production of cotton that year </em>the total production of cotton is greater of the neighbor than Alzania.
Answer:
- <em>As explained below, given that the score of the person is among the 0.03125 fraction of the best applicants, </em><u><em>he can count on getting one of the jobs.</em></u>
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Explanation:
The hint is to use <em>Chebyshev’s Theorem.</em>
Chebyshev’s Theorem applies to any data set, even if it is not bell-shaped.
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean.
For this sample you have:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean is:
- k = (score - mean) / standar deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Thus, the score of the person is 4 standard deviations above the mean.
How good is that?
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean. For k = 4, that is:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- That means that half of 1 - 0.9375 are above k = 4: 0.03125
- Then, 1 - 0.03125 are below k = 4: 0.96875
Since there are 70 positions and 1,000 aplicants, 70/1,000 = 0.07. The compnay should select the best 0.07 of the applicants.
Given that the score of the person is among the 0.03125 upper fraction of the applicants, this person can count of geting one of the jobs.
