Water Temperature If the variance of the water temperature in a lake is 28°, how many days should the researcher select to measure the temperature to estimate the true mean within 5° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the next whole number. The researcher needs a sample of at least days. X

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### Estimating Sample Size for Water Temperature Study

**Water Temperature**: If the variance of the water temperature in a lake is 28°, how many days should the researcher select to measure the temperature to estimate the true mean within 5° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the next whole number.

**Sample Size Calculation**:
The researcher needs a sample of at least \( \boxed{\phantom{00}} \) days. 

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**Explanation for Graphs/Diagrams**:
There are no graphs or diagrams in this image. Only a question and an input box for calculation are shown. The input box has a "clear" (X) and a "refresh" (circular arrow) button next to it.

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This task involves statistical methods to determine the required sample size for achieving a specified confidence level in the estimation of a population mean. Researchers should apply the appropriate formula to determine the number of days of temperature monitoring required to achieve the desired accuracy.
Transcribed Image Text:### Estimating Sample Size for Water Temperature Study **Water Temperature**: If the variance of the water temperature in a lake is 28°, how many days should the researcher select to measure the temperature to estimate the true mean within 5° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the next whole number. **Sample Size Calculation**: The researcher needs a sample of at least \( \boxed{\phantom{00}} \) days. --- **Explanation for Graphs/Diagrams**: There are no graphs or diagrams in this image. Only a question and an input box for calculation are shown. The input box has a "clear" (X) and a "refresh" (circular arrow) button next to it. --- This task involves statistical methods to determine the required sample size for achieving a specified confidence level in the estimation of a population mean. Researchers should apply the appropriate formula to determine the number of days of temperature monitoring required to achieve the desired accuracy.
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