The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (1). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). OA. I 100 ditferent students were chosen from this population, we would expect [34| to read more than 96 words per minute. O B. If 100 different students were chosen from this population, we would expect to read less than 96 words per minute. OC. If 100 dífferent students were chosen from this population, we woukld expect to read exactly 96 words per minute. (b) What is the probability that a random sample of 11 second grade students from the city results in a mean reading rate of more than 96 words per minute? The probability is O (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different samples of n = 11 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 96 words per minute. OB. If 100 different samples of n = 11 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 96 words per minute. OC. If 100 dífferent samples of n = 11 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 96 words per minute. (c) What is the probability that a random sample of 22 second grade students from the city results in a mean reading rate of more than 96 words per minute? The probability is O

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
The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
It 100 different students were chosen trom this population, we would expect 34 to read more than 96 words per minute.
O A.
O B. If 100 different students were chosen from this population, we would expect
to read less than 96 words per minute.
O C. If 100 different students were chosen from this population, we would expect
to read exactly 96 words per minute.
(b) What is the probability that a random sample of 11 second grade students from the city results in a mean reading rate of more than 96 words per minute?
The probability is
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
O A. If 100 different samples of n = 11 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of more than 96 words per minute.
O B. If 100 different samples of n = 11 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of less than 96 words per minute.
O C. If 100 different samples of n = 11 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of exactly 96 words per minute.
(c) What is the probability that a random sample of 22 second grade students from the city results in a mean reading rate of more than 96 words per minute?
The probability is
Transcribed Image Text:The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). It 100 different students were chosen trom this population, we would expect 34 to read more than 96 words per minute. O A. O B. If 100 different students were chosen from this population, we would expect to read less than 96 words per minute. O C. If 100 different students were chosen from this population, we would expect to read exactly 96 words per minute. (b) What is the probability that a random sample of 11 second grade students from the city results in a mean reading rate of more than 96 words per minute? The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different samples of n = 11 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 96 words per minute. O B. If 100 different samples of n = 11 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 96 words per minute. O C. If 100 different samples of n = 11 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 96 words per minute. (c) What is the probability that a random sample of 22 second grade students from the city results in a mean reading rate of more than 96 words per minute? The probability is
(c) What is the probability that a random sample of 22 second grade students from the city results in a mean reading rate of more than 96 words per minute?
The probability is.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
O A. If 100 different samples of n = 22 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of exactly 96 words per minute.
O B. If 100 different samples of n = 22 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of less than 96 words per minute.
O C. If 100 different samples of n = 22 students were chosen from this population, we would expect
sample(s) to have a sample mean reading rate of more than 96 words per minute.
(d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.
O A. Increasing the sample size increases the probability because o, increases as n increases.
O B. Increasing the sample size increases the probability because o, decreases as n increases.
Transcribed Image Text:(c) What is the probability that a random sample of 22 second grade students from the city results in a mean reading rate of more than 96 words per minute? The probability is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different samples of n = 22 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 96 words per minute. O B. If 100 different samples of n = 22 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 96 words per minute. O C. If 100 different samples of n = 22 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 96 words per minute. (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. O A. Increasing the sample size increases the probability because o, increases as n increases. O B. Increasing the sample size increases the probability because o, decreases as n increases.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
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