The mean number of words per minute (WPM) read by sixth graders is 81 with a standard deviation of 17 WPM. If 130 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 77.21 WPM? Round your answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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The mean number of words per minute (WPM) read by sixth graders is 81 with a standard deviation of 17 WPM.

If 130 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 77.21 WPM? Round your answer to four decimal places.

Expert Solution
Step 1

Let X be the random variable from normal distribution with mean (μ) = 81, standard deviation (σ) = 17 and sample size (n) = 130

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