A biologist is interested in comparing the size of blue crabs in two river basins: Cooper River and Stone River. Based on the health of the rivers, she believes the crabs in Stone River will have a higher average weight. She samples 34 crabs from the Stone River and this sample has a mean weight of 800g with standard deviation of 225g. She also takes a sample of 35 crabs from the Cooper River and finds the crabs have a mean weight of 700g with standard deviation of 175g. What are the appropriate hypotheses used to determine if her claim is correct. OH. : µs = µc_ versus µs > µc O H. : µs = µc versus ps < µc O H. : µs = µc versus ps # µc %3D

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A biologist is investigating the differences in the size of blue crabs from two river basins: Cooper River and Stone River. She hypothesizes that due to better river health, the crabs in Stone River will have a higher average weight.

**Sample Data:**
- **Stone River**: 34 crabs with a mean weight of 800g, standard deviation of 225g.
- **Cooper River**: 35 crabs with a mean weight of 700g, standard deviation of 175g.

The task is to determine the appropriate hypotheses to test the biologist's claim.

**Hypothesis Options:**

1. **\( H_0: \mu_S = \mu_C \) versus \( \mu_S > \mu_C \)**

2. **\( H_0: \mu_S = \mu_C \) versus \( \mu_S < \mu_C \)**

3. **\( H_0: \mu_S = \mu_C \) versus \( \mu_S \neq \mu_C \)**

Where:
- \( \mu_S \): Mean weight of crabs from Stone River.
- \( \mu_C \): Mean weight of crabs from Cooper River.

The biologist needs to select the correct hypothesis to validate the claim that Stone River crabs are heavier on average.
Transcribed Image Text:A biologist is investigating the differences in the size of blue crabs from two river basins: Cooper River and Stone River. She hypothesizes that due to better river health, the crabs in Stone River will have a higher average weight. **Sample Data:** - **Stone River**: 34 crabs with a mean weight of 800g, standard deviation of 225g. - **Cooper River**: 35 crabs with a mean weight of 700g, standard deviation of 175g. The task is to determine the appropriate hypotheses to test the biologist's claim. **Hypothesis Options:** 1. **\( H_0: \mu_S = \mu_C \) versus \( \mu_S > \mu_C \)** 2. **\( H_0: \mu_S = \mu_C \) versus \( \mu_S < \mu_C \)** 3. **\( H_0: \mu_S = \mu_C \) versus \( \mu_S \neq \mu_C \)** Where: - \( \mu_S \): Mean weight of crabs from Stone River. - \( \mu_C \): Mean weight of crabs from Cooper River. The biologist needs to select the correct hypothesis to validate the claim that Stone River crabs are heavier on average.
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