The Mayor of Beltsville Has Commissioned a Research Company to Estimate

question 9

Essay

The mayor of Beltsville has commissioned a research company to estimate the average age of the houses in a large historical district in the town.Data on 120 randomly selected properties are collected,and a histogram of the sample data shows a right-skewed distribution with several large outliers.The person leading this project decides that the standard t procedures should not be used.He decides to use the 25% trimmed mean as a measure of center.The leader of the project then decides to bootstrap the 25% trimmed mean.The bootstrap distribution is shown below.Some summary measures are given as well. Number of Replications: 500
Summary Statistics:
Observed Mean Bias SE
TrimMean 53.675 53.05 4.67
Percentiles:
2.5% 5% 25% 50% 75% 95% 97.5%
TrimMean 41.05 44.28 50.45 53.20 56.05 60.80 63.82
The dashed line in the histogram represents the mean of the resamples.The solid line represents the observed value of the trimmed mean in the original sample.
As part of the summary measure,the value 4.67 is reported as the SE.How was this value calculated,and what does it represent?

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Definitions:

Information-Processing Approach

The information-processing approach is a cognitive framework that examines how humans encode, process, store, and retrieve information, similar to the operations of a computer.

Passive Participant

Refers to an individual engaging in an activity or experiment with minimal involvement or without actively influencing the outcome or process.

Cognitive Development

Refers to the growth and change in intellectual capabilities, such as thought, reasoning, and problem-solving, that occur throughout a person's lifespan.

Piaget

Refers to Jean Piaget, a Swiss psychologist known for his pioneering work in the study of child development and his theory of cognitive development.