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Homework 4.1 - correct answer ✔✔
The World Happiness report is a survey of global happiness. This report is used by
many organizations like governments who need to be informed of their policy-
making decisions. The report has variables like the economy, autonomy, social
support, life expectancy and many others that influence the ladder score. The
ladder score is a quantitative measure of how satisfied people are with their life
from a scale of 1-10, 10 being very satisfied.
The dataset Happiness has an average ladder-score for 84 countries in the Asian,
European, and American regions. Using the course-analysis app, compare the
ladder-score of the Asian and European countries. - correct answer ✔✔
What is the population of interest for this study?
A. All countries in the world
B. All countries in Asia & Europe
C. All countries in the Americas
D. All countries in Europe - correct answer ✔✔B. All countries in Asia & Europe
Which of the following is the primary parameter of interest for this study?
A.
,The difference in average ladder score for the sampled countries in Europe minus
the average ladder score of sampled countries in Asia.
B.
The difference in average ladder score for the sampled countries in Europe is
divided by the average ladder score of sampled countries in Asia.
C.
The difference in average ladder score for all countries in Europe minus the
average ladder score for all countries in Asia.
D.
The difference in average ladder score for all countries in Europe is divided by the
average ladder score of all countries in Asia. - correct answer ✔✔C. The difference
in average ladder score for all countries in Europe minus the average ladder score
for all countries in Asia.
What is the shape of the distribution of ladder scores for countries in Asia?
A.
Skewed Left
B.
Approximately Normal
C.
Skewed Right - correct answer ✔✔B.
Approximately Normal
What is the point estimate of the average ladder score for all countries living in
Europe? - correct answer ✔✔(6.50±0.1)
,Assuming a normal population and using the corresponding sample point
estimates for the mean and standard deviation, above what ladder score are the
happiest 15% of countries in Asia? - correct answer ✔✔(6.0197±0.01)
What are the appropriate hypotheses for testing if, on average, countries in
Europe are happier than countries in Asia? Let μA�� and μE�� equal the
average ladder score for all countries living in Asia and Europe, respectively. Also,
let yA¯��¯and yE¯��¯ be the corresponding sample averages.
A.
Ho:μA=μE
Ha:μA>μE
B.
Ho:μA=μE
Ha:μA<μE
C.
Ho:μA=μE
Ha:μA≠μE
D.
Ho:ybar-A=yE¯
Ha:yA¯<yE¯
E.
Ho:yA¯=yE¯
Ha:yA¯>yE¯
F.
, Ho:yA¯=yE¯
Ha:yA¯≠yE¯ - correct answer ✔✔B.
Ho:μA=μE
Ha:μA<μE
The "equal standard deviation" assumption of the 2 means model is appropriate
for this dataset.
True or False - correct answer ✔✔True
What is the test statistic for your chosen hypotheses? - correct answer
✔✔(5.6416±0.01, or -5.6416±0.01)
Does not matter positive or negative
What is the p-value for your chosen hypotheses? - correct answer ✔✔0
Suppose your p-value was 0.02 (it's not), what would be the appropriate
conclusion at α = 0.05?
A.
We conclude that the mean ladder score for all countries in Asia is less than the
average ladder score for all countries in Europe.
B.
We conclude that the average ladder score for countries in Asia is about the same
as countries in Europe.
C.