Faculty in the psychology department at State University consume an average of 5 cups of coffee per day with a standard deviation of 1.5.The distribution is normal.How many cups of coffee would an individual at the 25^th percentile drink per day? A)4 B)5 C)6 D)7

Question

Quizplus · Accepted Answer

We need to find the number of cups of coffee that an individual at the 25th percentile drinks. Since the distribution of number of cups of coffee consumed in the psychology department is normal, we can use the Z-score formula.

Z-score = (x - μ) / σ

where x is the value we want to find, μ is the mean of the population, and σ is the standard deviation of the population.

To find the Z-score corresponding to the 25th percentile, we can use a Z-score table or calculator. The Z-score for the 25th percentile is -0.67.

-0.67 = (x - 5) / 1.5

Solving for x, we get:

x = 5 - 1.005 ~= 4

Therefore, an individual at the 25th percentile would drink about 4 cups of coffee per day. So, the best choice is A.

Faculty in the Psychology Department at State University Consume an Average