"A study examining people's water consumption estimated men spend an average of 10.4 minutes taking a shower, with a standard deviation of 4.8 minutes (Shimokura et al., 1998)." What percentage of men spend more than 15 minutes taking a shower?
A) .96%
B) 16.85%
C) 33.15%
D) 83.15%

Question

Quizplus · Accepted Answer

To find the percentage of men who spend more than 15 minutes taking a shower, we use the Z-score formula: Z = (X - μ) / σ, where X is the value of interest (15 minutes), μ is the mean (10.4 minutes), and σ is the standard deviation (4.8 minutes). Plugging in the values, we get Z = (15 - 10.4) / 4.8 = 0.9583. Looking up this Z-score in a standard normal distribution table or using a calculator, we find that the area to the right of this Z-score (which represents the percentage of men who spend more than 15 minutes) is approximately 16.85%.

"A Study Examining People's Water Consumption Estimated Men Spend an Average