We want to test whether the average working hour per week is 40 in New York, and
ID: 2908316 • Letter: W
Question
We want to test whether the average working hour per week is 40 in New York, and collect 1000 workers’ working time in New York, what kind of distribution we will use to do this hypothesis test?
F-Distribution
Chi-Squared Distribution
Student t-Distribution
Normal Distribution
In the above hypothesis test in Q1, t-statistics test reject the null hypothesis, 40 is not within the confidence interval, but p value is smaller than the significance level alpha, how to explain this inconsistency?
The dataset collected has low quality
Sample size is to large
Mistake in calculation when do the hypothesis test
Sample size is to small
Randomly choose 1000 people in New York City and collect their demographic characteristics in year 2015, what kind of data we collect?
Cross-Sectional Data
Pooled Cross Sections
Time Series Data
Panel data
Randomly choose 1000 people in Atlanta and collect their age, wage, and annual income in each year from 2000 to 2010, what kind of data we collect?
Time Series Data
Cross-Sectional Data
Pooled Cross Sections
Panel data
A.F-Distribution
B.Chi-Squared Distribution
C.Student t-Distribution
D.Normal Distribution
In the above hypothesis test in Q1, t-statistics test reject the null hypothesis, 40 is not within the confidence interval, but p value is smaller than the significance level alpha, how to explain this inconsistency?
A.The dataset collected has low quality
B.Sample size is to large
C.Mistake in calculation when do the hypothesis test
D.Sample size is to small
Randomly choose 1000 people in New York City and collect their demographic characteristics in year 2015, what kind of data we collect?
A.Cross-Sectional Data
B.Pooled Cross Sections
C.Time Series Data
D.Panel data
Randomly choose 1000 people in Atlanta and collect their age, wage, and annual income in each year from 2000 to 2010, what kind of data we collect?
A.Time Series Data
B.Cross-Sectional Data
C.Pooled Cross Sections
D.Panel data
Explanation / Answer
Ques 1
Normal and t distribution is used to estimate mean or average.
when population variance is known then use normal distribution and when population variance is unknown then use student t distribution.
Chi square distribution is used to estimate variance and F distribution is used to estimate comparsion of variance.
here we want to test average working hour per week and population variance is unknown so sample variance will be used. hence use student t distribution.
Student t-Distribution
Ques 2
You can use either P values or confidence intervals to determine whether your results are statistically significant. If a hypothesis test produces both, these results will agree.
Mistake in calculation when do the hypothesis test
Ques 3
Cross-sectional data analyzes data from a population for number of observations at a specific point in time.
Panel data is data that is derived from a (usually small) number of observations over time.
Pooled cross-section data is Randomly sampled cross sections of individuals at different points in time.
Panel Data observe cross sections of the same individuals at different points in time while Pooled cross-section data observes cross sections of the different individuals at different points in time (randomly selected every time).
A time series is a series of data points indexed in time order.
here demographic characteristics in year 2015 for 1000 people is collected so they have used cross sectional data.
Cross-Sectional Data
Ques 4:
here various characteristics are studied over the year 2000 to 2010 for 1000 people which are randomly selected at once and remain fixed for each year so they have used panel data.
Panel data
C.Student t-Distribution
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