An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.1 minutes. At a = 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H, and H3 Họ: (Type integers or decimals. Do not round.) The claim is the V hypothesis.
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.1 minutes. At a = 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H, and H3 Họ: (Type integers or decimals. Do not round.) The claim is the V hypothesis.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Could also you please show how to find Critial Values, Test Statisitc T, and the P value using a Calculator (TI 84) and whether it reject or fail to reject based on the evidence.
![**Determining the Validity of an Oceanographer's Claim About Mean Dive Duration of North Atlantic Right Whales**
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.1 minutes. At α = 0.01, is there enough evidence to reject the oceanographer's claim? Follow the steps outlined below. Assume the population is normally distributed.
### (a) Identify the Claim and State \(H_{0}\) and \(H_{a}\)
To begin, we need to set up our null hypothesis (\(H_{0}\)) and the alternative hypothesis (\(H_{a}\)).
1. **Null Hypothesis (\(H_{0}\))**:
\[ \mu = \] [Dropdown menu: enter the mean value or other options]
2. **Alternative Hypothesis (\(H_{a}\))**:
\[ \mu \neq \] [Dropdown menu: enter the mean value or other options]
*(Type integers or decimals. Do not round.)*
Next, identify whether the oceanographer's claim corresponds to \(H_{0}\) or \(H_{a}\), and mark it accordingly.
The claim is the [Dropdown menu: select either null or alternative] hypothesis.
### Explanation of Graphs and Diagrams:
Since this segment does not contain a graph or diagram, there is no additional explanation needed. This section is purely focused on the hypothesis setup for the given statistical problem.
### Subsequent Sections (b-d)
The subsequent sections (b through d) will involve:
- Calculating the test statistic.
- Determining the critical value(s) and the corresponding rejection region.
- Drawing a conclusion based on the comparison of the test statistic and the critical value(s).
These steps are crucial for determining whether or not there is sufficient evidence to reject the null hypothesis and, consequently, the oceanographer's claim about the mean dive duration of the North Atlantic right whale.
**Note:** Ensure you understand each step and the logic behind it to apply these methods effectively in similar statistical analyses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13d099e0-1e6e-43be-97e8-895a649ceed6%2F34416649-da00-4f4c-b019-edefe8d1bae8%2F3xdlaff.png&w=3840&q=75)
Transcribed Image Text:**Determining the Validity of an Oceanographer's Claim About Mean Dive Duration of North Atlantic Right Whales**
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.1 minutes. At α = 0.01, is there enough evidence to reject the oceanographer's claim? Follow the steps outlined below. Assume the population is normally distributed.
### (a) Identify the Claim and State \(H_{0}\) and \(H_{a}\)
To begin, we need to set up our null hypothesis (\(H_{0}\)) and the alternative hypothesis (\(H_{a}\)).
1. **Null Hypothesis (\(H_{0}\))**:
\[ \mu = \] [Dropdown menu: enter the mean value or other options]
2. **Alternative Hypothesis (\(H_{a}\))**:
\[ \mu \neq \] [Dropdown menu: enter the mean value or other options]
*(Type integers or decimals. Do not round.)*
Next, identify whether the oceanographer's claim corresponds to \(H_{0}\) or \(H_{a}\), and mark it accordingly.
The claim is the [Dropdown menu: select either null or alternative] hypothesis.
### Explanation of Graphs and Diagrams:
Since this segment does not contain a graph or diagram, there is no additional explanation needed. This section is purely focused on the hypothesis setup for the given statistical problem.
### Subsequent Sections (b-d)
The subsequent sections (b through d) will involve:
- Calculating the test statistic.
- Determining the critical value(s) and the corresponding rejection region.
- Drawing a conclusion based on the comparison of the test statistic and the critical value(s).
These steps are crucial for determining whether or not there is sufficient evidence to reject the null hypothesis and, consequently, the oceanographer's claim about the mean dive duration of the North Atlantic right whale.
**Note:** Ensure you understand each step and the logic behind it to apply these methods effectively in similar statistical analyses.
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