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State Research Question: Is the average length of songs in 2024 significantly different from the average song length, of 180 seconds, in 2020? State Hypotheses for the study: Ho: H1: Starting assumption:
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Answer to a math question State Research Question: Is the average length of songs in 2024 significantly different from the average song length, of 180 seconds, in 2020? State Hypotheses for the study: Ho: H1: Starting assumption:
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4.597 Answers
1. **Define Hypotheses:**
- Null Hypothesis:H_0: \mu = 180
- Alternative Hypothesis:H_a: \mu \neq 180
2. **Collect Data:**
- Gather a sample of song lengths from 2024.
3. **Choose a Significance Level:**
- Common significance levels are 0.05, 0.01, etc.
4. **Conduct the Test:**
- Use a t-test or z-test depending on the sample size and whether the population standard deviation is known.
5. **Calculate Test Statistic:**
- Test statistic formula depends on the type of test chosen.
6. **Make a Decision:**
- Compare the p-value to the significance level to accept or rejectH_0
**Answer**: Without actual data from 2024, the hypothesis test cannot be completed.
- Null Hypothesis:
- Alternative Hypothesis:
2. **Collect Data:**
- Gather a sample of song lengths from 2024.
3. **Choose a Significance Level:**
- Common significance levels are 0.05, 0.01, etc.
4. **Conduct the Test:**
- Use a t-test or z-test depending on the sample size and whether the population standard deviation is known.
5. **Calculate Test Statistic:**
- Test statistic formula depends on the type of test chosen.
6. **Make a Decision:**
- Compare the p-value to the significance level to accept or reject
**Answer**: Without actual data from 2024, the hypothesis test cannot be completed.
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