Answered: he reading speed of second grade…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The reading speed of second grade students in a large city is approximately normal, with a mean of 89 per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f)

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

(b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 95 words per minute?

(c) What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 95 words per minute?

(d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.

(e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 22 second grade students was 91.5 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice.

(Type integers or decimals rounded to four decimal places as needed.)

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