Math

QuestionA historian finds marriage records from 180018201800-1820 showing an average age of 26.7. Answer these questions about the data.

Studdy Solution

STEP 1

Assumptions1. The historian used the marriage records from1800-1820 as a sample. . The average age of the men in the records is26.7 years.
3. The estimated average age of grooms in the region in the early19th century was between25.8 and27.6 years.

STEP 2

We need to identify which part of the example gives a descriptive summary of the data. A descriptive summary is a summary that describes, shows or summarizes data in a meaningful way, providing an overview of the sample data.

STEP 3

From the given options, the average age of26.7 years is a descriptive summary of the data. This is because it provides a summary of the ages of the men in the sample data.
Descriptive summary=The average age26.7 years\text{Descriptive summary} = \text{The average age26.7 years}

STEP 4

The answer to question a is D. The average age26.7 years.
b. Which part of this example draws an inference about a population?

STEP 5

We need to identify which part of the example draws an inference about a population. An inference about a population is a conclusion reached on the basis of evidence and reasoning from the sample data.

STEP 6

From the given options, the estimated average age of grooms in the region in the early19th century was between25.8 and27.6 years is an inference about a population. This is because it provides a conclusion about the average age of grooms in the region in the early19th century based on the sample data.
Inference about a population=The interval of ages between25.8 and27.6 years\text{Inference about a population} = \text{The interval of ages between25.8 and27.6 years}

STEP 7

The answer to question b is B. The interval of ages between25. and27.6 years.
c. To what population does the inference in part b refer?

STEP 8

The inference in part b refers to the population of all grooms in the region in the early19th century.
Population=All grooms in the region in the early19th century\text{Population} = \text{All grooms in the region in the early19th century}

STEP 9

The answer to question c is "All grooms in the region in the early19th century".
d. The average age of the sample was26.7 years. Is26.7 a statistic or a parameter?

STEP 10

A statistic is a quantity calculated from a sample of data, while a parameter is a quantity calculated from the entire population.

STEP 11

In this case, the average age of26.7 years is calculated from the sample data (marriage records from1800-1820), so it is a statistic.
26.7 is a=Statistic\text{26.7 is a} = \text{Statistic}

STEP 12

The answer to question d is "Statistic".

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