QuestionA historian finds marriage records from 1800-1820. Answer these: a) Descriptive summary? b) Inference? c) Population? d) Is 26.1 a statistic or parameter?
Studdy Solution
STEP 1
Assumptions1. The historian is using a sample of marriage records from1800-1820 to estimate the average age at marriage of men in the early19th century. . The average age of the men in the sample is26.1 years.
STEP 2
To answer the first question, we need to identify which part of the example provides a descriptive summary of the data. A descriptive summary of the data provides a summary of the main features of the data in a study.
STEP 3
From the given options, the descriptive summary of the data is the average age of26.1 years. This is because it provides a summary of the main feature of the data, which is the age at marriage of men.
STEP 4
Next, we need to identify which part of the example draws an inference about a population. An inference about a population is a conclusion that is made about the population based on the sample data.
STEP 5
From the given context, the inference about the population is that the average age at marriage of men in the early19th century can be estimated using the sample data.
STEP 6
The next question asks to what population does the inference in part b refer. The population in this context refers to the group about which information is wanted.
STEP 7
From the given context, the population to which the inference refers is the men in the region in the early19th century.
STEP 8
The final question asks whether26.1 is a statistic or a parameter. A statistic is a numerical measurement describing some characteristic of a sample, while a parameter is a numerical measurement describing some characteristic of a population.
STEP 9
In this context,26. is a statistic because it describes a characteristic (average age at marriage) of the sample (marriage records from180-182).
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