The reading speed of second-grade students is approximately normal, with a mean of 90 words per minute(wpm) and a standard deviation of 10 wpm. a) What is the probability that a randomly selected student will read more than 95 words per minute? b) What is the probability that a random sample of 12-second grades students results in a mean reading rate of more than 95 words per minute? c) What effect does increasing the sample size have on the probability of obtaining a sample mean reading rate of more than 95 words per minute? why?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 66E
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The reading speed of second-grade students is approximately normal, with a mean of 90 words per minute(wpm) and a standard deviation of 10 wpm.

a) What is the probability that a randomly selected student will read more than 95 words per minute?

b) What is the probability that a random sample of 12-second grades students results in a mean reading rate of more than 95 words per minute?

c) What effect does increasing the sample size have on the probability of obtaining a sample mean reading rate of more than 95 words per minute? why?

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