ECON 2G03 Study Guide - Midterm Guide: Isocost, Isoquant, Sea Salt
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1 | Which of the following statements about Type I and Type II errors is correct | ||||||||
a | Type I: Reject a true alternative hypothesis. Type II: Do not reject a false alternative. | ||||||||
b | Type I: Reject a true null hypothesis. Type II: Do not reject a false null hypothesis. | ||||||||
c | Type I: Reject a false null hypothesis. Type II: Reject a true null hypothesis. | ||||||||
d | Type I: Do not reject a false null hypothesis. Type II: Reject a true null hypothesis. | ||||||||
2 | You are reading a report that contains a hypothesis test you are interested in. The writer of the report writes that the p-value for the test you are interested in is 0.0749, but does not tell you the value of the test statistic. From this information you can: | ||||||||
a | Not reject the hypothesis at a Probability of Type I error = .05, but reject the hypothesis at a Probability of Type I error = 0.10 | ||||||||
b | Reject the hypothesis at a Probability of Type I error = .05, and reject at a Probability of Type I error = 0.10 | ||||||||
c | Not reject the hypothesis at a Probability of Type I error = 0.05, and not reject at a Probability of Type I error = 0.10 | ||||||||
d | Reject the hypothesis at a Probability of Type I error = .05, but not reject at a Probability of Type I error = 0.10 | ||||||||
3 | The random sample below is obtained to test the following hypothesis about the population mean. | ||||||||
H?: ? ? | 1500 | ||||||||
H?: ? > | 1500 | ||||||||
620 | 1711 | 366 | 2528 | 2678 | 1661 | 442 | 725 | 1938 | |
409 | 330 | 2480 | 542 | 369 | 2124 | 549 | 2074 | 1665 | |
1873 | 873 | 2143 | 2061 | 1177 | 2509 | 1264 | 2397 | 1523 | |
1837 | 1958 | 1041 | 1639 | 2199 | 2232 | 387 | 2270 | 2136 | |
1111 | 1883 | 2612 | 2230 | 1597 | 1726 | 694 | 1990 | 1354 | |
2090 | 909 | 2128 | 1608 | 747 | 1121 | 2220 | 2390 | 2347 | |
1041 | 316 | 655 | 632 | 2064 | 1901 | 532 | 552 | 846 | |
2704 | 1410 | 2165 | 1065 | 937 | 1452 | 2539 | 410 | 656 | |
1169 | 527 | 809 | 2364 | 2350 | 2210 | 1459 | 2391 | 856 | |
2711 | 1985 | 2382 | 2289 | 1927 | 518 | 2177 | 437 | 1151 | |
2018 | 1580 | 607 | 2715 | 2188 | 1691 | 1394 | 2610 | 1186 | |
695 | 2428 | 2246 | 858 | 2036 | 1681 | 2449 | 1578 | 1971 | |
1846 | 1729 | 2389 | 1737 | 1913 | 1863 | 2072 | 2593 | 2287 | |
2220 | 2230 | 551 | 458 | 2626 | 2731 | 488 | 2551 | 1736 | |
1373 | 307 | 1803 | 2647 | 2679 | 1508 | 1468 | 1443 | 516 | |
1002 | 2116 | 2616 | 817 | 2522 | 460 | 1879 | 1999 | 1837 | |
The level of significance of the test is ? = 0.05. Compute the relevant test statistic. | |||||||||
This is a(n) _______ (two-tail, upper-tail, lower-tail) test. The test statistic is TS = _______. | |||||||||
a | Two-tail test | TS = | 1.81 | ||||||
Do not reject H?: ? ? 1500. Conclude that the population mean is not greater than 1500. | |||||||||
b | Upper tail test. | TS = | 1.52 | ||||||
Do not reject H?: ? ? 1500. Conclude that the population mean is not greater than 1500. | |||||||||
c | Upper tail test. | TS = | 1.81 | ||||||
Reject H?: ? ? 1500. Conclude that the population mean is greater than 1500. | |||||||||
d | Lower tail test. | TS = | 1.98 | ||||||
Do not reject H?: ? ? 1500. Conclude that the population mean is no greater than 1500. | |||||||||
4 | Consider the following hypothesis test. | ||||||||
H?: ? ? | 30 | ||||||||
H?: ? > | 30 | ||||||||
A random sample of n = 15 yielded the following observations | |||||||||
51 | 38 | 26 | 16 | 28 | |||||
57 | 20 | 33 | 35 | 23 | |||||
21 | 47 | 56 | 54 | 36 | |||||
Use ? = | 0.05 | ||||||||
TS = ______ | CV = ______ | State the decision rule. | |||||||
a | 1.68 | 1.761 | Do not reject H?. Conclude the mean is not greater than 30. | ||||||
b | 1.68 | 1.64 | Reject H?. Conclude the mean is greater than 30. | ||||||
c | 1.847 | 2.145 | Do not reject H?. Conclude the mean is not less than 30. | ||||||
d | 1.847 | 1.761 | Reject H?. Conclude the mean is less than 30. | ||||||
5 | In a recent study, a major fast food restaurant had a mean service time of 165 seconds. The company embarks on a quality improvement effort to reduce the service time and has developed improvements to the service process. The new process will be tested in a sample of stores. The new process will be adopted in all of its stores, if it reduced mean service time by more than 45 seconds compared to the current mean service time. To perform the hypothesis test, the sample of 48 stores yields the following data (seconds). | ||||||||
90 | 96 | 133 | 108 | 136 | 110 | 119 | 138 | ||
129 | 98 | 101 | 92 | 135 | 124 | 115 | 90 | ||
132 | 125 | 110 | 124 | 126 | 138 | 94 | 130 | ||
108 | 96 | 140 | 135 | 102 | 114 | 109 | 137 | ||
138 | 104 | 108 | 134 | 92 | 107 | 96 | 119 | ||
105 | 111 | 96 | 136 | 126 | 116 | 98 | 131 | ||
Use ? = | 0.05 | ||||||||
|TS| = ______ | |CV| = ______ | ||||||||
a | 1.548 | 1.678 | Do not reject H?. The mean service time is not reduced by more than 45 seconds. Do not adopt the new process. | ||||||
b | 1.871 | 1.678 | Reject H?. The mean service time is reduced by more than 45 seconds. Adopt the new process. | ||||||
c | 1.871 | 1.640 | Do not reject H?. The mean service time is not reduced by more than 45 seconds. Do not adopt the new process. | ||||||
d | 1.548 | 1.640 | Reject H?. The mean service time is reduced by more than 45 seconds. Adopt the new process. | ||||||
1) Suppose your grandmother gave you $25 for your birthday and you decided to spend all of it on candy bars and bags of popcorn. The price of candy bars is $1.25 and price of a bag of peanuts is $3.75.
a) Construct a table showing the alternative combinations of the two products that are available.
b) Plot the data in your table as a budget line in a graph. What is the slope of the budget line? What is the opportunity cost of one more candy bar? Of one bag of peanuts?
c) How, in general, would you decide which of the available combinations of candy bars and bags of peanuts to buy?
2) With current technology, suppose a firm is producing 750 screwdrivers daily. Also assume that the least-cost combination of resources in producing those screwdrivers is 15 units of labor, 20 units of land, 4 units of capital, and 3 unit of entrepreneurial ability, selling at prices of $50, $45, $75, and $50, respectively. If the firm can sell these 750 screwdrivers at $2.50 per unit,
a) what is its total revenue?
b) what is its total cost?
c) what is its profit or loss?
d) will it continue to produce screwdrivers?
e) If this firm’s situation is typical for the other makers of screwdrivers, will resources flow toward or away from this product?
3) How will each of the following changes in demand and/or supply affect equilibrium price and equilibrium quantity in a competitive market; that is, do equilibirium price and quantity rise, fall , or are the answers indeterminate because they depend on the magnitudes of the shifts?
a)Supply decreases and demand is constant. Change in eqilibrium price chnage in eqilibrium quantity
b)Demand decreases and supply is constant.
c)Supply increases and demand is constant.
d)Demand increases and supply increases.
e)Demand decreases and supply decreases.
4)Zeke likes to go to music concerts. The number of times per year that he attends concerts depends on both the price of the concerts as well as Zeke’s income and the cost of other types of entertainment—in particular, how much it costs to go see a movie instead of attending concerts. The three demand schedules in the $60,000 per year and movies cost $10 each. In scenario D2, Zeke's income is also $60,000 per year, but the price of seeing a movie rises to $12. And in scenario D3, Zeke's income goes up to $80,000 per year, while movies cost $12.
a)Using the data under D1 and D2, calculate the cross-elasticity of Zeke's demand for concerts at all three prices. (To do this, apply the midpoints approach to the cross-elasticity of demand.) Is the cross-elasticity the same at all three prices? Are movies and concerts substitute goods, complementary goods, or independent goods?
b)Using the data under D2 and D3, calculate the income elasticity of Zeke's demand for concerts at all three prices. (To do this, apply the midpoints approach to the income elasticity of demand.) Is the income elasticity the same at all three prices? Are concerts an inferior good?
PRICE | D1 | D2 | D3 |
50 | 10 | 5 | 12 |
40 | 15 | 10 | 25 |
30 | 25 | 15 | 40 |
Income 60,000 60,000 80,000
Cost of revenue 10 12 12
5) On the basis of the three individual demand schedules below, and assuming these three people are the only ones in the society, determine (a) the market (a) the market demand schedule on the assumption that the good is a private good and (b) the collective demand schedule on the assumption that the good is a public good.
P | Qd(D1) | Qd(D2) | Qd(d3) |
20 | 0 | 0 | 1 |
19 | 0 | 1 | 2 |
17 | 0 | 2 | 3 |
16 | 0 | 3 | 4 |
15 | 1 | 4 | 5 |
14 | 2 | 5 | 6 |
13 | 3 | 6 | 7 |
12 | 4 | 7 | 8 |
11 | 5 | 8 | 9 |
10 | 6 | 9 | 10 |