Yane is a researcher who studies bacteria. They are trying to ascertain the mean lifespan for a bacteria species. It is believed that the standard deviation of their lifespan is o = 4 hours. They would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should they gather to achieve this? Remember your answer must be a whole number. n = bacteria

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**Understanding Sample Size Determination for Bacterial Lifespan Study**

Yane is a researcher who studies bacteria. They are trying to determine the mean lifespan of a specific bacteria species. It is believed that the standard deviation of their lifespan is σ = 4 hours. They want to estimate the mean lifespan for this species of bacteria with a margin of error of 0.45 hours at a 99% confidence level.

**Question:**
What sample size should they gather to achieve this? Remember, your answer must be a whole number.

**Calculation:**
n = [_____] bacteria

---

This exercise involves determining the appropriate sample size needed to achieve a specified level of statistical confidence and precision. The formula for the sample size calculation in this context is often based on the parameters of the Z-score (for the confidence level), the standard deviation, and the desired margin of error.
Transcribed Image Text:**Understanding Sample Size Determination for Bacterial Lifespan Study** Yane is a researcher who studies bacteria. They are trying to determine the mean lifespan of a specific bacteria species. It is believed that the standard deviation of their lifespan is σ = 4 hours. They want to estimate the mean lifespan for this species of bacteria with a margin of error of 0.45 hours at a 99% confidence level. **Question:** What sample size should they gather to achieve this? Remember, your answer must be a whole number. **Calculation:** n = [_____] bacteria --- This exercise involves determining the appropriate sample size needed to achieve a specified level of statistical confidence and precision. The formula for the sample size calculation in this context is often based on the parameters of the Z-score (for the confidence level), the standard deviation, and the desired margin of error.
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