Final answer:
To calculate an upper confidence bound for the population mean escape time using a confidence level of 95%, the formula is used. To calculate an upper prediction bound for the escape time of a single additional worker using a prediction level of 95%, a different formula is used. The upper prediction bound is higher than the upper confidence bound.
Step-by-step explanation:
To calculate an upper confidence bound for the population mean escape time using a confidence level of 95%, we can use the formula:
Upper Confidence Bound = Sample Mean + Critical Value * (Sample Standard Deviation / sqrt(Sample Size))
Using the given data, the upper confidence bound is calculated as:
Upper Confidence Bound = 371.19 + 1.96 * (24.37 / sqrt(26)) = 394.62
To calculate an upper prediction bound for the escape time of a single additional worker using a prediction level of 95%, we can use the formula:
Upper Prediction Bound = Sample Mean + Critical Value * (Sample Standard Deviation)
Using the given data, the upper prediction bound is calculated as:
Upper Prediction Bound = 371.19 + 1.96 * 24.37 = 418.05
The upper prediction bound is higher than the upper confidence bound.