Question
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.
(Note: Labelled diagrams and proper notation are required for part
a), b), c).)
a) What is the probability that a randomly selected student will
read more than 130 words per minute? Interpret this
probability.
b) What is the probability that the mean reading rate for a random
sample of 12 sixth-grade students is more than 130 words per
minute? Interpret this probability.
c) What is the probability that the mean reading rate for a random
sample of 24 sixth-grade students is more than 130 words per
minute? Interpret this probability.
d) Compare the probabilities in part b) and part c). What effect
does increasing the sample size have on the probability?
Solutions
orchestra answered 2 years agoRelated Solutions
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.
(Note: Labelled diagrams and proper notation are required for
all parts.)
e) What is the reading speed for a sixth-grader who can read
faster than 90% of all sixth-graders?
f) A school psychologist wants to determine unusually fast
reading rates and unusually slow
reading rates. Determine the reading rates of the middle 95%...
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...
The reading speed of second grade students is approximately normal, with a mean of 91 words...
The reading speed of second grade students is approximately
normal, with a mean of 91 words per minute (wpm) and a standard
deviation of 11.
A) What is the probability that a single randomly selected
student will read more than 97 words per minute?
B) What is the probability that a random sample of 12 students
will have a mean reading rate of more than 97 words per minute?
C) There is a 5% chance that the mean reading speed...
The reading speed of second grade students is approximately normal with a mean of 90 words...
The reading speed of second grade students is approximately
normal with a mean of 90 words per minutes and standard deviation
of 10 words per minute. A sample off 55 second graders were
selected
a) what is the mean (center) of the sampling distribution for
x?
b) What is the spread (standard deviation)of the sampling
distribution of x?
1. The reading speed of second grade students is approximately normal with a mean of 86...
1. The reading speed of second grade students is approximately
normal with a mean of 86 words per minute and a standard deviation
of 12 words per minute.
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
grade students results in a mean reading rate of more than 98 words
per minute?
c) There is a 5% chance that...
1. The reading speed of Ms. Alayeb's second grade students is approximately normal, with a mean...
1. The reading speed of Ms. Alayeb's second grade students is
approximately normal, with a mean 60 WPM and a standard deviation
of 10 WPM. (Please round your answer to 4 decimal places )
a) What is the probability a randomly selected student will read
more than 65 WPM?
b)What is the probability that a random sample of 27 Ms.
Alayeb's second grade students results in a mean reading rate of
less than 56 WPM?
c)What is the probability that...
The reading speed of second grade students in a large city is approximately normal, with a...
The reading speed of second grade students in a large city is
approximately normal, with a mean of
88
words 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
92
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...
the reading speed of second grade students in a large city is approximately normal, with a...
the reading speed of second grade students in a large city is
approximately normal, with a mean of 89 words per minute (wpm)
and a standard deviation of 10 wpm. Complete parts (a) through
(f).
What is the probability a randomly selected student in the city
will read more than 95 words per minute?
The reading speed of second grade students in a large city is approximately normal, with a...
The reading speed of second grade students in a large city is
approximately normal, with a mean of
9191
words 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
9595
words per minute?The probability is
0.34460.3446.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and
fill in the answer box within...
The reading speed of second grade students in a large city is approximately normal, with a...
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.
(a) What is the probability a randomly selected student in the
city will read more than 97 words per minute?
Interpret this probability.
(b) What is the probability that a random sample of 12 second
grade students from the city results in a mean reading rate of more
than 97...
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