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In: Statistics and Probability

The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words...

The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. A random sample of 12 sixth-graders is obtained.

(a) Describe the sampling distribution of the sample mean reading rate of the 12 sixth-graders. In other words, state its distribution and its two parameters.

(b) What is the probability that a random sample of 12 sixth-graders results in a mean reading rate of more than 130 words per minute?

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