(c) What is the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
The reading speed of second grade students in a large city is approximately normal, with
mean of 92 words per minute (wpm) and
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 97 words per minute?
The probability is 0.3085.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
C A. If 100 different students were chosen from this population, we would expect 31 to read more than 97 words per minute.
O B. If 100 different students were chosen from this population, we would expect
to read exactly 97 words per minute.
C. If 100 different students were chosen from this population, we would expect
to read less than 97 words per minute.
(b) What is the probability that a random sample of 14 second grade students from the city results in a mean reading rate of more than 97 words per minute?
The probability is 0.0307.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
C A. If 100 independent samples of n = 14 students were chosen from this population, we would expect 3 sample(s) to have a sample mean reading rate of more than 97 words per minute.
O B. If 100 independent samples of n = 14 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of less than 97 words per minute.
C. If 100 independent samples of n = 14 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of exactly 97 words per minute.
(c) What is the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 97 words per minute?
The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:The reading speed of second grade students in a large city is approximately normal, with mean of 92 words per minute (wpm) and 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 97 words per minute? The probability is 0.3085. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. C A. If 100 different students were chosen from this population, we would expect 31 to read more than 97 words per minute. O B. If 100 different students were chosen from this population, we would expect to read exactly 97 words per minute. C. If 100 different students were chosen from this population, we would expect to read less than 97 words per minute. (b) What is the probability that a random sample of 14 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is 0.0307. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. C A. If 100 independent samples of n = 14 students were chosen from this population, we would expect 3 sample(s) to have a sample mean reading rate of more than 97 words per minute. O B. If 100 independent samples of n = 14 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. C. If 100 independent samples of n = 14 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (c) What is the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman