At a local coffee shop, wait times for a cup of plain coffee are normally distributed with a mean of 90 seconds and a standard deviation of 15 seconds. a. What is the z-score of an 84-second wait time for a cup of plain coffee? Round your result to one decimal place. b. What percentile is associated with the z-score you calculated in part a? Round your answer to one decimal place. Percentile: % Interpret the percentile in a way that is specific to coffee wait times. 34.5% of wait times are 15 seconds away from 90 seconds. O 34.5% of wait times are less than 84 seconds. O 34.5% of wait times are longer than 84 seconds. O 34.5% of wait times are between 84 and 90 seconds.

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At a local coffee shop, wait times for a cup of plain coffee are normally
distributed with a mean of 90 seconds and a standard deviation of 15
seconds.
a. What is the z-score of an 84-second wait time for a cup of plain coffee?
Round your result to one decimal place.
b. What percentile is associated with the z-score you calculated in part a?
Round your answer to one decimal place.
Percentile:
Interpret the percentile in a way that is specific to coffee wait times.
O 34.5% of wait times are 15 seconds away from 90 seconds.
O 34.5% of wait times are less than 84 seconds.
O 34.5% of wait times are longer than 84 seconds.
O 34.5% of wait times are between 84 and 90 seconds.
Transcribed Image Text:At a local coffee shop, wait times for a cup of plain coffee are normally distributed with a mean of 90 seconds and a standard deviation of 15 seconds. a. What is the z-score of an 84-second wait time for a cup of plain coffee? Round your result to one decimal place. b. What percentile is associated with the z-score you calculated in part a? Round your answer to one decimal place. Percentile: Interpret the percentile in a way that is specific to coffee wait times. O 34.5% of wait times are 15 seconds away from 90 seconds. O 34.5% of wait times are less than 84 seconds. O 34.5% of wait times are longer than 84 seconds. O 34.5% of wait times are between 84 and 90 seconds.
At the conclusion of training, all factory workers are timed as they complete
a task. The completion times for the task are normally distributed.
Suppose a worker's completion time is 0.6 standard deviations above the
mean. What is the worker's percentile score? Round your result to one
decimal place.
%
Transcribed Image Text:At the conclusion of training, all factory workers are timed as they complete a task. The completion times for the task are normally distributed. Suppose a worker's completion time is 0.6 standard deviations above the mean. What is the worker's percentile score? Round your result to one decimal place. %
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