PRICIPLES OF MACROECONOMICS
8th Edition
ISBN: 9781337761598
Author: Mankiw
Publisher: CENGAGE L
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Chapter 11, Problem 1PA
To determine
Buying power based on CPI .
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1. After the reopening of borders with mainland China following the COVID-19 lockdown, residents
living near the border now have the option to shop for food on either side. In Hong Kong, the cost
of food is at its listed price, while across the border in mainland China, the price is only half that
of Hong Kong's. A recent report indicates a decline in food sales in Hong Kong post-reopening.
**
Diagrams need not be to scale; Focus on accurately representing the relevant concepts
and relationships rather than the exact proportions.
(a) Using a diagram, explain why Hong Kong's food sales might have dropped after the border
reopening. Assume that consumers are indifferent between purchasing food in Hong Kong or
mainland China, and therefore, their indifference curves have a slope of one like below.
Additionally, consider that there are no transport costs and the daily food budget for consumers
is identical whether they shop in Hong Kong or mainland China. I
3.
14
(b) In response to the…
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- Suppose that a random sample of 216 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight on height yields Weight = (-107.3628) + 4.2552 x Height, R2 = 0.875, SER = 11.0160 (2.3220) (0.3348) where Weight is measured in pounds and Height is measured in inches. A man has a late growth spurt and grows 1.6200 inches over the course of a year. Construct a confidence interval of 90% for the person's weight gain. The 90% confidence interval for the person's weight gain is ( ☐ ☐) (in pounds). (Round your responses to two decimal places.)arrow_forwardSuppose that (Y, X) satisfy the assumptions specified here. A random sample of n = 498 is drawn and yields Ŷ= 6.47 + 5.66X, R2 = 0.83, SER = 5.3 (3.7) (3.4) Where the numbers in parentheses are the standard errors of the estimated coefficients B₁ = 6.47 and B₁ = 5.66 respectively. Suppose you wanted to test that B₁ is zero at the 5% level. That is, Ho: B₁ = 0 vs. H₁: B₁ #0 Report the t-statistic and p-value for this test. Definition The t-statistic is (Round your response to two decimal places) ☑ The Least Squares Assumptions Y=Bo+B₁X+u, i = 1,..., n, where 1. The error term u; has conditional mean zero given X;: E (u;|X;) = 0; 2. (Y;, X¡), i = 1,..., n, are independent and identically distributed (i.i.d.) draws from i their joint distribution; and 3. Large outliers are unlikely: X; and Y, have nonzero finite fourth moments.arrow_forwardAsap pleasearrow_forward
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