MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Investigation of Time Estimation Accuracy among Students**

A group of students was tasked with estimating the length of one minute without using a watch or clock. The times in seconds recorded by the students are as follows:

80, 88, 48, 75, 52, 36, 66, 74, 73, 54, 72, 78, 104, 95, 76

The purpose of this study is to determine whether students can accurately estimate one minute. A significance level of 0.01 is utilized to test whether these times are from a population with a mean equal to 60 seconds.

**Hypothesis Testing**

To conduct the hypothesis test, it is crucial to establish the null and alternative hypotheses. The options are:

- **Option A**:
  - Null Hypothesis (H₀): μ = 60 seconds
  - Alternative Hypothesis (H₁): μ ≠ 60 seconds

- **Option B**:
  - Null Hypothesis (H₀): μ = 60 seconds
  - Alternative Hypothesis (H₁): μ > 60 seconds

- **Option C**: [Correct Choice]
  - Null Hypothesis (H₀): μ = 60 seconds
  - Alternative Hypothesis (H₁): μ ≠ 60 seconds

- **Option D**:
  - Null Hypothesis (H₀): μ = 60 seconds
  - Alternative Hypothesis (H₁): μ < 60 seconds

**Statistical Calculations**

- **Test Statistic**: 2.31 (Rounded to two decimal places)

- **Determine the P-Value**:
  - (Round to three decimal places as needed)

> This setup allows for the determination of statistical significance regarding the accuracy of the students' time estimation.
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Transcribed Image Text:**Investigation of Time Estimation Accuracy among Students** A group of students was tasked with estimating the length of one minute without using a watch or clock. The times in seconds recorded by the students are as follows: 80, 88, 48, 75, 52, 36, 66, 74, 73, 54, 72, 78, 104, 95, 76 The purpose of this study is to determine whether students can accurately estimate one minute. A significance level of 0.01 is utilized to test whether these times are from a population with a mean equal to 60 seconds. **Hypothesis Testing** To conduct the hypothesis test, it is crucial to establish the null and alternative hypotheses. The options are: - **Option A**: - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ ≠ 60 seconds - **Option B**: - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ > 60 seconds - **Option C**: [Correct Choice] - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ ≠ 60 seconds - **Option D**: - Null Hypothesis (H₀): μ = 60 seconds - Alternative Hypothesis (H₁): μ < 60 seconds **Statistical Calculations** - **Test Statistic**: 2.31 (Rounded to two decimal places) - **Determine the P-Value**: - (Round to three decimal places as needed) > This setup allows for the determination of statistical significance regarding the accuracy of the students' time estimation.
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