Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1260; a= 0.01; o = 203.23. Sample statistics: x= 1278.79, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H> 1260 O B. Ho: Hs 1278.79 HaiHS 1260 HaiH> 1278.79 O C. Ho: H2 1260 HaiH<1260 O D. Ho: HS 1260 H3:H> 1260 E. Ho: H> 1278.79 O F. Ho: H2 1278.79 HaiHS 1278.79 Ha:u< 1278.79

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**Hypothesis Testing: Analyzing Population Mean**

Use technology to help you test the claim about the population mean, \(\mu\), at the given level of significance, \(\alpha\), using the given sample statistics. Assume the population is normally distributed.

**Claim:** \(\mu \geq 1260\), \(\alpha = 0.01\); \(\sigma = 203.23\).  
**Sample statistics:** \(\bar{x} = 1278.79\), \(n = 300\)

**Identify the null and alternative hypotheses. Choose the correct answer below:**

- A. \(H_0: \mu = 1260\)  
  \(H_a: \mu > 1260\)

- B. \(H_0: \mu = 1278.79\)  
  \(H_a: \mu > 1278.79\)

- C. \(H_0: \mu \geq 1260\)  
  \(H_a: \mu = 1260\)

- D. \(H_0: \mu = 1260\)  
  \(H_a: \mu \geq 1260\)

- E. \(H_0: \mu = 1278.79\)  
  \(H_a: \mu \leq 1278.79\)

- F. \(H_0: \mu = 1278.79\)  
  \(H_a: \mu \ne 1278.79\)

**Instructions:**
Click to select your answer and then click Check Answer. 

**Note:** No graphs or diagrams are present in this content.
Transcribed Image Text:**Hypothesis Testing: Analyzing Population Mean** Use technology to help you test the claim about the population mean, \(\mu\), at the given level of significance, \(\alpha\), using the given sample statistics. Assume the population is normally distributed. **Claim:** \(\mu \geq 1260\), \(\alpha = 0.01\); \(\sigma = 203.23\). **Sample statistics:** \(\bar{x} = 1278.79\), \(n = 300\) **Identify the null and alternative hypotheses. Choose the correct answer below:** - A. \(H_0: \mu = 1260\) \(H_a: \mu > 1260\) - B. \(H_0: \mu = 1278.79\) \(H_a: \mu > 1278.79\) - C. \(H_0: \mu \geq 1260\) \(H_a: \mu = 1260\) - D. \(H_0: \mu = 1260\) \(H_a: \mu \geq 1260\) - E. \(H_0: \mu = 1278.79\) \(H_a: \mu \leq 1278.79\) - F. \(H_0: \mu = 1278.79\) \(H_a: \mu \ne 1278.79\) **Instructions:** Click to select your answer and then click Check Answer. **Note:** No graphs or diagrams are present in this content.
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