Data Collected by Child Development Scientists Produced the Following 90

question 96

Multiple Choice

Data collected by child development scientists produced the following 90% confidence interval for the average age (in months) at which children say their first word: 10.6 < μ(age) < 13.1.

• A)We are 90% sure that the average age at which children in this sample said their first word was between 10.6 and 13.1 months.
• B)If we took many random samples of children,about 90% of them would produce this confidence interval.
• C)We are 90% sure that a child will say his first word when he is between 10.6 and 13.1 months old.
• D)90% of the children in this sample said their first word when they were between 10.6 and 13.1 months old.
• E)Based on this sample,we can say with 90% confidence that the mean age at which children say their first word is between 10.6 and 13.1 months.

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Definitions:

Effect Size

A numeric evaluation of the size of the effect observed in an experiment.

T-statistic

A type of statistic used in hypothesis testing, derived from the standardized difference between a sample statistic and its hypothesized population value, divided by the standard error.

Perfect Relationship

Refers to a situation where two variables move together in either 100% positive or 100% negative linear correlation, indicating a direct relationship without any variation.

Variance

Variance is a statistical measurement that describes the spread of numbers in a data set, indicating how far each number in the set is from the mean.