Answer:
Explanation:
To determine the sample size required to achieve a specific width for a two-sided confidence interval, we need to consider the following formula:
Sample Size (n) = (Z * σ / E)²
where:
Z is the z-value corresponding to the desired confidence level (95% confidence corresponds to a z-value of approximately 1.96).
σ is the standard deviation of the population (or an estimate of it).
E is the desired margin of error (half of the total width of the confidence interval).
In this case, the desired total width of the confidence interval is 1.5 degrees Celsius, which means the desired margin of error (E) is 1.5/2 = 0.75 degrees Celsius.
However, to calculate the required sample size, we also need the standard deviation (σ) of the population or an estimate of it. Without this information, it is not possible to calculate the precise sample size.
If you have the standard deviation or an estimate of it, please provide that information so I can help you calculate the required sample size.