Question

The mean of the data is 45.5 mm and the standard deviation is 3.9 mm. Use this information to answer the question below. The body of the housefly is typically up to 50 mm in length. So, we want to look at house flies that have bodies shorter than their wings. How do the percentage of wing lengths over 50 mm from the graph and the percentage of wing lengths over 50 mm using the normal approximation compare?

Answer 1

To compare the percentages of wing lengths over 50 mm from the graph and the normal approximation, we can calculate the z-score for a wing length of 50 mm using the mean and standard deviation provided. Then, we can use the z-score to find the percentage using the standard normal distribution table.