The Attention Span of Kindergarteners Are Measured in Minutes A)Fail to Reject the Null and Conclude That Attention Spans

question 41

Multiple Choice

The attention span of kindergarteners are measured in minutes.A teacher wants to see if there are differences in the attention span of kindergarteners at different times of day.Using a sample of five such children, their attention spans are measured at five different times throughout the day.Using the data in the table below and an alpha of 0.05, what is the appropriate conclusion? $$\begin{array} { l c c c c c } & 9 \text { am } & 11 a m & \text { nown } & 1 p m & 3 p m \\\text { Child 1 } & 12 & 5 & 10 & 7 & 8 \\\text { Child 2 } & 10 & 6 & 9 & 8 & 12 \\\text { Child 3 } & 7 & 10 & 6 & 8 & 13 \\\text { Child 4 } & 11 & 8 & 5 & 4 & 10 \\\text { Child 5 } & 12 & 4 & 11 & 5 & 8\end{array}$$

• A)Fail to reject the null and conclude that attention spans differ at different times of day.
• B)Reject the null and conclude that attention spans are the same between children.
• C)Reject the null and conclude that attention spans are impacted by time of day and child.
• D)Fail to reject the null and conclude that attention spans differ between children.
• E)Fail to reject the null and conclude that attention spans are the same at different times of day.

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Definitions:

Average Number

This term often refers to the arithmetic mean, which is calculated by summing all numbers in a set and dividing by the count of those numbers.

Type II Error

A statistical error that occurs when a false null hypothesis is not rejected, also known as a "false negative" finding.

Null Hypothesis

The null hypothesis is a statement in hypothesis testing that there is no effect or no difference, and it serves as a default position until evidence suggests otherwise.

Alternative Hypothesis

A hypothesis that proposes there is a statistically significant difference between two variables, contrasting with the null hypothesis.