data set lists earthquake depths. The summary statistics are n= 400, x=4.46 km, s 4.83 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population tha mean equal to 4. 00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original aim. hat are the null and alternative hypotheses? DA. Ho =4.00 km O B. Ho u=4.00 km H p<4.00 km O D. Ho = 4.00 km H p>4.00 km H, p#4 00 km O C. Ho p#4.00 km H, u=4.00 km

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8.3-4
A data set lists earthquake depths. The summary statistics are \( n = 400 \), \( \bar{x} = 4.46 \) km, \( s = 4.83 \) km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00 km. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternative hypotheses?

- **A.** \( H_0: \mu = 4.00 \, \text{km} \)
  
  \( H_1: \mu \neq 4.00 \, \text{km} \)

- **B.** \( H_0: \mu = 4.00 \, \text{km} \)
  
  \( H_1: \mu < 4.00 \, \text{km} \)

- **C.** \( H_0: \mu \neq 4.00 \, \text{km} \)
  
  \( H_1: \mu = 4.00 \, \text{km} \)

- **D.** \( H_0: \mu = 4.00 \, \text{km} \)
  
  \( H_1: \mu > 4.00 \, \text{km} \)
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are \( n = 400 \), \( \bar{x} = 4.46 \) km, \( s = 4.83 \) km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00 km. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? - **A.** \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu \neq 4.00 \, \text{km} \) - **B.** \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu < 4.00 \, \text{km} \) - **C.** \( H_0: \mu \neq 4.00 \, \text{km} \) \( H_1: \mu = 4.00 \, \text{km} \) - **D.** \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu > 4.00 \, \text{km} \)
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