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Gdp and Living Standard

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Submitted By kitty283
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Relationship of GNP and Living Standard
Phuong Le
SUNY Morrisville State College

Project 2- Part 2
Part I: Description of the data set: I collected data from Journal of Statistics Education (JSE). Its original data set which is named “The Statistics of Poverty and Inequality” includes birth rates, death rates, infant death rates, life expectancies for males and females, and Gross National Product for 97 countries in the world divided into 6 groups (97 observations, 8 variables total.) However, I just took 6 variables: infant death rates, life expectancies for males and females, Gross National Product, country and country groups. Variables Descriptions: * Country: 30 countries were taken randomly. * Country groups: divided into 6 groups
1= Eastern Europe
2=South America and Mexico
3=Western Europe, North America, Japan, Australia, New Zealand
4=Middle East
5=Asia
6=Africa * Infant deaths per 1000 of population under 1 year old * Life expectancy at birth for males * Life expectancy at birth for females * Gross National Product per capital in US. Dollars
Part II: Description of Statistical Analysis: * Descriptive: Numerical, tabular and graphical * Inferential: Sample

Part III: Description and Interpretation of the RESULTS: 1. Gross National Product per capital in US. Dollars: Groups | Gross National Product | 1 | 12132 | 2 | 12110 | 3 | 108290 | 4 | 8548 | 5 | 12030 | 6 | 1430 | Total | 154540 |

The order is: Group 3 > Group 1 > Group 2 > Group 5 > Group 4 > Group 6
Group 3 has the highest GNP rates with 108290 USD per capital. Group 6 has the lowest GNP rates with 1430 USD per capital. The gap is: 108290 – 1430 = 106860 USD. Group 3‘s GNP rates is 75.73 times more than group 6’s. Group 1, 2, 5 have approximately equal rates.

95% Confidence Interval for Gross National Product | Sample Size | 30 | Sample Mean | 5151.33 | Population Standard Deviation | 7942.98 | Confidence Coefficient | 0.95 | Level of Significance | 0.05 | Margin of Error | 2842 | Point Estimate | 5151.33 | Lower Limit | 2309.03 | Upper Limit | 7993.64 |

95% of the area under the curve falls within this interval (2309.03, 7993.64). This interval also contains the true parameter value. 2. Infant death per 1000 of population under 1 year old: | Infants death rates | | | (per 1000 ) | Percentage | Group 1 | 76.6 | 5% | Group 2 | 151 | 9% | Group 3 | 34.7 | 2% | Group 4 | 478.7 | 28% | Group 5 | 354.5 | 20% | Group 6 | 614 | 36% | Total | 1709.5 | 100% |

Infant deaths rates are an important factor to evaluate the standard living of a country. It shows the number of deaths of infants under one year old in a given year per 1,000 live births in the same year; included is the total death rate, and deaths by sex, male and female.
The infant death rates’ order is: Group 3< Group 1< Group 2< Group 5< Group 4< Group 6
The ratio of infant death rates: Group 6 = 1.3 times Group 4= 1.8 times Group 5= 4 times Group 2= 7.2 times Group 1= 18 times Group 3
The infant death rate of the group 3 is the smallest rate (2%) that means group 3 has the best standard living. Otherwise, the infant death rate of the group 6 is the biggest rate (36%) that means group 6 had the worst standard living.
Since wealthy countries (group 1, group 2, and group 3) have the means to invest in healthcare, sanitation, drugs etc., they have a lower IMR than developing or poor countries.
To understand clearly about the gaps among groups, we discuss the average infant death rates: Groups | Infant death rates | Mean | 56.98 | Mean group 1 | 15.32 | Mean group 2 | 30.2 | Mean group 3 | 6.94 | Mean group 4 | 95.74 | Mean group 5 | 70.9 | Mean group 6 | 122.8 |

The order is: Group 3< Group 1< Group 2< General Average < Group 5< Group 4< Group 6
Group 6 has the highest infant death rates. Group 3 has the lowest infant death rates. The gap is: 122.8- 6.94= 115.86. It is a very big gap.

95% Confidence Interval of infants death rate | Sample Mean | 52.86 | Standard Deviation | 52.53 | Sample size | 30 | Confidence Coefficient | 0.95 | Level of Significance | 0.05 | | | Margin of Error | 17.31 | Point Estimate | 52.86 | Lower Limit | 35.55 | Upper Limit | 70.17 |

95% of the area under the curve falls within this interval (35.55, 70.17) This interval also contains the true parameter value.
In short words, the low infant death rate is a good sign of development. The richer a country is, the less infant death rate it has. 3. Life expectancy at birth for males and females: | Life expectancy for males | Life expectancy for females | 1 | 67.3 | 75.22 | 2 | 66.2 | 72.62 | 3 | 72.08 | 79.22 | 4 | 57.3 | 59.08 | 5 | 60.9 | 62.3 | 6 | 45.48 | 48.64 | Average | 61.54 | 66.18 |

* The life expectancy for males order: Group 3 >Group 1> Group 2> Group 5> Group 4> Group 6. * There are 3 groups that have life expectancy for males smaller than the average: Group 6 (45.48 years old) < Group 4 (57.3 years old) < Group 5 (60.9 years old) < Average (61.54 years old.) * The groups remain that have life expectancy for males bigger than the average: Group 3 (72.08 years old)> Group 1 (67.3 years old) > Group 2 (66.2 years old)> Average (61.54 years old.) * Group 3 has the highest life expectancy for males. Group 6 has the lowest rate. The gap is: 72.08 – 45.48 = 26.6.

* The life expectancy for females order: Group 3 > Group 1> Group 2 > Group 5 > Group 4> Group 6. * There are 3 groups that have life expectancy for males smaller than the average: Group 6 (48.64 years old) < Group 4 (59.08 years old) < Group 5 (62.3 years old) < Average (66.18 years old.) * The groups remain that have life expectancy for males bigger than the average: Group 3 (79.22 years old)> Group 1 (75.22 years old) > Group 2 (72.62 years old)> Average (66.18 years old.) * Group 1 has the highest life expectancy for males. Group 6 has the lowest rate. The gap is: 79.22 – 48.64 = 30.58. It is a big gap.

The correlation between level of GNP per capita and life expectancy rates is an indicator of poverty and one of the three elements of the HDI. These data and the graph before indicate 2 facts: * Life expectancy for both sexes in group 3 is the highest and in group 6 is the lowest. The gap between them is very big that is not a good sign. * Women live longer than men in all groups. Especially, the gap between males and females expectancy in group 1, 2, 3 is bigger than that in group 4, 5, 6. (In group 1 the gap is: 7.92 years old; in group 2: 6.42 years old; in group 3: 7.14 years old; in group 4: 1.78 years old; in group 5: 1.4 years old; in group 6: 3.16 years old.) The wealthier a country is, the higher the life expectancy for both sex is.

| 95% Confidence Interval for Life expectancy | | | Males | Females | Sample Size | 30 | 30 | Sample Mean | 62.37 | 67.24 | Population Standard Deviation | 10.08 | 12.26 | Confidence Coefficient | 0.95 | 0.95 | Level of Significance | 0.05 | 0.05 | Margin of Error | 3.61 | 4.39 | Point Estimate | 62.37 | 67.24 | Lower Limit | 58.76 | 62.85 | Upper Limit | 65.98 | 71.63 | | | |

For males: 95% of the area under the curve falls within this interval (58.76, 65.98) This interval also contains the true parameter value.
For females: 95% of the area under the curve falls within this interval (62.85, 71.63) This interval also contains the true parameter value.
RELATED SOURCES: * “Life expectancy at birth indicates the number of years a newborn infant would live if prevailing patterns of mortality at the time of its birth were to stay the same throughout its life.” (Life expectancy at birth, total (years)) * “GNI per capita based on purchasing power parity (PPP). PPP GNI is gross national income (GNI) converted to international dollars using purchasing power parity rates. An international dollar has the same purchasing power over GNI as a U.S. dollar has in the United States. GNI is the sum of value added by all resident producers plus any product taxes (less subsidies) not included in the valuation of output plus net receipts of primary income (compensation of employees and property income) from abroad. Data are in current international dollars.” (GNI per capital, PPP (current international $) * “This entry gives the number of deaths of infants under one year old in a given year per 1,000 live births in the same year; included is the total death rate, and deaths by sex, male and female. This rate is often used as an indicator of the level of health in a country.” ( Infant Mortality Rate) * According to the United Nations Statistics Division (Attachment), in the phase 2010-2015, the infant deaths rates are decreasing in all countries except for Afghanistan. Besides, the life expectancy for both sexes is increasing significantly. It can be the result of development in economy, medicals, foods, etc.
Conclusions:
Economy affects the health and population of countries strongly. Developed countries have more means to improve the living standard that decreases infant death rates and increases life expectancy at birth. On the contrary, the developing or poor countries have the higher infant death rates and the low living standard. Besides, the inequality and policy (wars) also decease the standard living and GNP.
Reference:
GNI per capital, PPP (current international $). (n.d.) The World Bank. Retrieved from http://data.worldbank.org/indicator/NY.GNP.PCAP.PP.CD
Mary Rouncefield. (n.d.) The Statistics of Poverty and Inequality. Retrieved from http://www.amstat.org/publications/jse/datasets/poverty.text
Life expectancy at birth, total (years). (n.d.) The World Bank. Retrieved from http://data.worldbank.org/indicator/SP.DYN.LE00.IN
Life expectancy at birth, by sex. (2011, December.) The United Nations Statistics Division. Retrieve from http://unstats.un.org/unsd/demographic/products/socind/
Infant Mortality Rate. (n.d.) Central Intelligence Agency (CIA). Retrieve from https://www.cia.gov/library/publications/the-world-factbook/rankorder/2091rank.html

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