Exam 15: Chi-Square Applications

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Sean McCarthy earns $20,000 a year; John Nowak, $35,000. What is John's income as an index Using Sean's income as the base?

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The CPI for "personal computers and peripheral equipment" in July of 2001 was 29.3 (1982-1984 = 100). Interpret this index.

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The Statistics Canada reported that the farm population dropped from 30.5 million in 1940 to 16.5 Million in 1999. What is the index for 1999 based on 1940?

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i. An index is a convenient way of comparing changes for different variables, i.e., average income And food prices. ii. The concept of real income is sometimes called deflated income. iii. Purchasing power of the dollar is the same as the CPI.

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In 2000, an executive earned $100,000. In 2009, the executive earned $125,000. The CPI in 2000 Was 172.2, and the CPI in 2009 was 214.537. Using the CPI base, 1982-1984 = 100, what was the Increase in real income from 2000 to 2009?

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i. The largest component of the Canadian CPI is Food. ii. Besides measuring change in the prices of goods and services, the consumer price indexes have A number of other applications. The CPI is used to determine real disposable personal income, Deflate sales or other series, find the purchasing power of the dollar and establish cost of living Increases. iii. The concept of real income is sometimes called deflated income or income expressed in Constant dollars and the CPI is called the deflator.

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i. The CPI serves only one major function: as an economic indicator of the rate of inflation. ii. To construct a special-purpose index designed to measure general business activity, the weights Are based on the judgments of the statistician and assigned to each series. iii. The Consumer Price Index measures the change in prices of a fixed market basket of goods and Services from one period to another.

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i. The Consumer Price Index measures the change in prices of a fixed market basket of goods and Services from one period to another. ii. The CPI is not just one index, but includes a large number of groups, subgroups and selected Items, such as a food index, a transportation index and a shelter index. iii. The Consumer Price Index is based on more than 600 separate goods and services used by Most urban and rural families.

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The following data was collected on mutual fund prices. The following data was collected on mutual fund prices.   Compute a simple aggregate index comparing mutual fund prices in 2015 to mutual fund prices in 2010. Compute a simple aggregate index comparing mutual fund prices in 2015 to mutual fund prices in 2010.

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The following data was collected comparing car prices and quantity sold (thousands). The following data was collected comparing car prices and quantity sold (thousands).   Compute the simple aggregate index to compare car prices in 2010 to 2000. Compute the simple aggregate index to compare car prices in 2010 to 2000.

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i. An index of 239.2 and an index of 86.4 are actually percents. ii. All indexes have the same base, namely 1982-84, written 1982 - 84 = 100. iii. The base period for one index might be 1982-84, while the base period for another index might Be 1977.

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An index of clothing prices for 2014 based on 2000 is to be constructed. The clothing items Considered are shoes and dresses. The information for prices and quantities for both years is given Below. Use 2000 as the base period and 100 as the base value. An index of clothing prices for 2014 based on 2000 is to be constructed. The clothing items Considered are shoes and dresses. The information for prices and quantities for both years is given Below. Use 2000 as the base period and 100 as the base value.   Determine the simple average of the price indexes. Determine the simple average of the price indexes.

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i. An index of 239.2 and an index of 86.4 are actually percents. ii. The base period for one index might be 1982-84, while the base period for another index might Be 1977. iii. Most business and economic indexes are carried either to the nearest whole percent, such as 312 or 96, or to the nearest 10th of a percent, such as 97.5 and 178.6.

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Data for selected vegetables purchased at wholesale prices for 1995 and 2000 are shown below. Data for selected vegetables purchased at wholesale prices for 1995 and 2000 are shown below.   What is the interpretation of the value index? What is the interpretation of the value index?

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i. An index number is a percent that measures the change in price, quantity, value, or some other Item of interest from one time to another. ii. The base number for most indexes is 1. iii. Converting data to indexes makes it easier to compare the trend in a series composed of Exceptionally large numbers.

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An index of clothing prices for 2014 based on 2000 is to be constructed. The clothing items Considered are shoes and dresses. The information for prices and quantities for both years is given Below. Use 2000 as the base period and 100 as the base value. An index of clothing prices for 2014 based on 2000 is to be constructed. The clothing items Considered are shoes and dresses. The information for prices and quantities for both years is given Below. Use 2000 as the base period and 100 as the base value.   Determine the Fisher's ideal index for 2014. Determine the Fisher's ideal index for 2014.

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i. An index is a convenient way of comparing changes for different variables, i.e., average income And food prices. ii. No systematic approach to collecting and reporting data in index form was evident in North America until about 1900. iii. The CPI can be used in determining "real" income.

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i. Etienne Laspeyres developed a method in the latter part of the 19th century to determine a Weighted index using base-period weights. ii. If we are constructing a weighted index of the price of food for 2000 using the Laspeyres' Method and 1982-84 = 100, we use the amounts consumed in the base period, q0, as weights. iii. The Laspeyres' method changes in buying patterns over time.

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The average weekly earnings (including overtime) in Canada since 2003 are given below. The average weekly earnings (including overtime) in Canada since 2003 are given below.   Using 2003 as the base year, determine the index for 2004. Using 2003 as the base year, determine the index for 2004.

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Data for selected vegetables purchased at wholesale prices for 1995 and 2000 are shown below. Data for selected vegetables purchased at wholesale prices for 1995 and 2000 are shown below.   What is the interpretation of Laspeyres' price index? What is the interpretation of Laspeyres' price index?

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