Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Get step-by-step guidance for all your technical questions from our dedicated community members.

Four students all perform the same experiment for the science fair. They test reaction times for pushing a button when a specific color is shown. Their data is as follows:

[tex]\[
\begin{array}{|l|c|c|c|c|c|c|}
\hline
& \text{Trial 1} & \text{Trial 2} & \text{Trial 3} & \text{Trial 4} & \text{Trial 5} & \text{Trial 6} \\
\hline
\text{Student 1} & 0.42 & 0.43 & 0.41 & 0.42 & 0.41 & 0.42 \\
\hline
\text{Student 2} & 0.44 & 0.41 & 0.47 & 0.39 & 0.46 & 0.42 \\
\hline
\text{Student 3} & 0.35 & 0.43 & 0.38 & 0.39 & 0.42 & 0.44 \\
\hline
\text{Student 4} & 0.41 & 0.52 & 0.57 & 0.46 & 0.55 & 0.49 \\
\hline
\end{array}
\][/tex]

Put the students in order from most to least reliable data.

A. Student 3, Student 2, Student 1, Student 4
B. Student 2, Student 1, Student 4, Student 3
C. Student 4, Student 1, Student 2, Student 3

Sagot :

GinnyAnsweridn
To determine the students' reliability based on their reaction times, we need to calculate the standard deviation for each student's data. A lower standard deviation indicates more consistent (reliable) reaction times.

The data for each student is as follows:

- Student 1: [0.42, 0.43, 0.41, 0.42, 0.41, 0.42]
- Student 2: [0.44, 0.41, 0.47, 0.39, 0.46, 0.42]
- Student 3: [0.35, 0.43, 0.38, 0.39, 0.42, 0.44]
- Student 4: [0.41, 0.52, 0.57, 0.46, 0.55, 0.49]

Here are the standard deviations for each student:
- Student 1: [tex]\(0.006871842709362774\)[/tex]
- Student 2: [tex]\(0.027938424357067015\)[/tex]
- Student 3: [tex]\(0.031313823713426565\)[/tex]
- Student 4: [tex]\(0.0541602560309064\)[/tex]

We need to arrange the students from the most reliable to the least reliable data. Reliability is inversely related to the standard deviation: a lower standard deviation corresponds to higher reliability. Therefore, the order from most to least reliable based on their standard deviations is:

1. Student 1 (with the standard deviation of [tex]\(0.006871842709362774\)[/tex])
2. Student 2 (with the standard deviation of [tex]\(0.027938424357067015\)[/tex])
3. Student 3 (with the standard deviation of [tex]\(0.031313823713426565\)[/tex])
4. Student 4 (with the standard deviation of [tex]\(0.0541602560309064\)[/tex])

So the correct order from most to least reliable data is:

A. Student 3, Student 2, Student 1, Student 4 is incorrect.
B. Student 2, Student 1, Student 4, Student 3 is incorrect.
C. Student 4, Student 1, Student 2, Student 3 is incorrect.

The correct answer is:
D. Student 1, Student 2, Student 3, Student 4
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.