Use the following to answer the questions below:
A student suspects that the length of songs currently on her Spotify playlist are approximately normally distributed with a mean of 257 seconds and standard deviation 62 seconds.
-The shortest 10% of songs are shorter than what length? Report your answer with one decimal place.
A) 177.5 seconds
B) 179.4 seconds
C) 181.5 seconds
D) 185.9 seconds

Question

Quizplus · Accepted Answer

The z-score for the shortest 10% of songs is -1.28. Using the formula z = (x - mu) / sigma, we can solve for x:x = mu + z * sigmax = 257 + (-1.28) * 62x = 177.5 seconds

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