A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good estimating one minute? 76 90 47 71 54 30 69 75 74 55 76 79 101 101 77 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: H= 60 seconds H:u> 60 seconds O B. Ho: H#60 seconds H:µ= 60 seconds Vc. Ho: H= 60 seconds O D. Ho: u= 60 seconds H: u# 60 seconds H:H< 60 seconds

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A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute?

Times (in seconds): 76, 90, 47, 71, 54, 30, 69, 75, 74, 55, 76, 79, 101, 101, 77

**Hypothesis Test:**

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

- **Option A:**  
  \( H_0: \mu = 60 \) seconds  
  \( H_1: \mu > 60 \) seconds  

- **Option B:**  
  \( H_0: \mu \neq 60 \) seconds  
  \( H_1: \mu = 60 \) seconds  

- **Option C (Correct):**  
  \( H_0: \mu = 60 \) seconds  
  \( H_1: \mu \neq 60 \) seconds  

- **Option D:**  
  \( H_0: \mu = 60 \) seconds  
  \( H_1: \mu < 60 \) seconds  

**Determine the test statistic:**

(Round to two decimal places as needed.)
Transcribed Image Text:A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? Times (in seconds): 76, 90, 47, 71, 54, 30, 69, 75, 74, 55, 76, 79, 101, 101, 77 **Hypothesis Test:** Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? - **Option A:** \( H_0: \mu = 60 \) seconds \( H_1: \mu > 60 \) seconds - **Option B:** \( H_0: \mu \neq 60 \) seconds \( H_1: \mu = 60 \) seconds - **Option C (Correct):** \( H_0: \mu = 60 \) seconds \( H_1: \mu \neq 60 \) seconds - **Option D:** \( H_0: \mu = 60 \) seconds \( H_1: \mu < 60 \) seconds **Determine the test statistic:** (Round to two decimal places as needed.)
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