(a) Identify the claim and state Ho and Ha Ho: P = 11.7 H₂H # 11.7 (Type integers or decimals. Do not round.) The claim is the null hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.)
(a) Identify the claim and state Ho and Ha Ho: P = 11.7 H₂H # 11.7 (Type integers or decimals. Do not round.) The claim is the null hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![### Statistical Hypothesis Testing Example
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 32 dive durations has a mean of 12.2 minutes and a standard deviation of 2.1 minutes. At α = 0.10, is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
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#### (a) Identify the claim and state H₀ and Hₐ
- Null Hypothesis (H₀): \[ \mu = 11.7 \]
- Alternative Hypothesis (Hₐ): \[ \mu \ne 11.7 \]
(Type integers or decimals. Do not round.)
The claim is the \[ \text{null} \] hypothesis.
----
#### (b) Use technology to find the P-value. Find the standardized test statistic, t.
- t = \[ \_\_\_\_ \]
(Round to two decimal places as needed.)
----
This structured approach guides you to formulate the null and alternative hypotheses, identify the claim, and calculate the standardized test statistic and P-value. This is an essential part of hypothesis testing in statistics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2efc1b7c-4803-4177-8fdb-49aa376782de%2F1c30d740-66a6-4174-a147-62c2eb3cbe3f%2Ft035vlj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Hypothesis Testing Example
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 32 dive durations has a mean of 12.2 minutes and a standard deviation of 2.1 minutes. At α = 0.10, 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 H₀ and Hₐ
- Null Hypothesis (H₀): \[ \mu = 11.7 \]
- Alternative Hypothesis (Hₐ): \[ \mu \ne 11.7 \]
(Type integers or decimals. Do not round.)
The claim is the \[ \text{null} \] hypothesis.
----
#### (b) Use technology to find the P-value. Find the standardized test statistic, t.
- t = \[ \_\_\_\_ \]
(Round to two decimal places as needed.)
----
This structured approach guides you to formulate the null and alternative hypotheses, identify the claim, and calculate the standardized test statistic and P-value. This is an essential part of hypothesis testing in statistics.
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