STAT TECH IN BUSINESS & ECON LL\AC
STAT TECH IN BUSINESS & ECON LL\AC
18th Edition
ISBN: 9781264720545
Author: Lind
Publisher: MCG
Question
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Chapter 17, Problem 5E

a.

To determine

To develop: A simple price index using August 2010 as the base period.

b.

To determine

To develop: A simple aggregate price index using 2010 as the base period.

c.

To determine

To find: The Laspeyres’ price index using 2010 as the base period.

d.

To determine

To find: The Paasche’s index using 2010 as the base period.

e.

To determine

To find: The Fisher’s ideal index.

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Use the following price information for selected items for 2010 and 2018. Production figures for those two periods are also given.    Price   Quantity Item 2010 2018   2010 2018 Aluminum (cents per pound) $  0.82   $ 0.86       1,000     1,200   Natural gas $ per million BLA   4.37     2.99       5,000     4,000   Petroleum (barrel)   71.21     58.15       60,000     60,000   Platinum (troy ounce)   1,743.60     1,292.53       500     600
A price relative was computed for houses. The base period is 2005. The price relative in 2010 was 130. The interpretation of the price relative is that a. there has been a 130% increase in the price of houses from 2005 to 2010. b. there has been a 30% increase in the price of houses from 2005 to 2010. c. the price of houses in 2010 was $130 higher than the price in 2005. d. It is impossible to interpret the index.
2015 2020 ITEM PRICE QUANTITY PRICE QUANTITY Cup of coffee 8.50 50 10.50 60 Toasted cheese sandwich 13.00 35 14.00 25 English muffin 9.00 120 9.50 138 The preliminary analysis of the data produced the following table: po qo p1 q1 poqo poq1 p1qo p1q1 8.50 50 10.50 60 425 510 525 630 13.00 35 14.00 25 455 325 490 350 9.00 120 9.50 138 1080 X 1140 1311 Σ W Y 2155 Using the table of analysis shown above, answer the following questions (use 2015 as the base year):
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