Question

The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (to 2 decimal places) that we are 95% confident is still medium size?

Answer 1

To find the heaviest egg that is still considered medium size with 95% confidence, we need to calculate the upper limit of the 95% confidence interval for the mean weight of medium eggs. The heaviest egg is approximately 3.27 oz.

Step-by-step explanation:

To find the heaviest egg that is still considered medium size with 95% confidence, we need to calculate the upper limit of the 95% confidence interval for the mean weight of medium eggs.

The formula for the upper limit of the confidence interval is:

Upper Limit = Mean + (Z-Score * Standard Deviation / Square root of sample size)

Since we are looking for the heaviest egg, we want to calculate the upper limit. The Z-score for a 95% confidence level is approximately 1.96. Plugging in the values we have,

Upper Limit = 3.2 + (1.96 * 0.13 / sqrt(1)) = 3.2 + 0.065 = 3.265 oz.

Therefore, the heaviest egg that we can be 95% confident is still medium size is approximately 3.27 oz.