Problem#2 23. Reading Rates 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 a randomly selected student will read more than 95 words per minute? (b) What is the probability that a random sample of 12 sec- ond grade students results in a mean reading rate of more than 95 words per minute? (c) What is the probability that a random sample of 24 sec- ond grade students 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 read- ing speed of a random sample of 20 second grade students was 92.8 wpm. What might you conclude based on this result? Answer (a) 30.85% (b) 4.16% (c) 0.72% (e) 10.52% of samples will be above 92.8

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Please help step to step with Program R (CS) with explanation and final code for understanding thank you.

Problem#2
23. Reading Rates 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 a randomly selected student will
read more than 95 words per minute?
(b) What is the probability that a random sample of 12 sec-
ond grade students results in a mean reading rate of
more than 95 words per minute?
(c) What is the probability that a random sample of 24 sec-
ond grade students 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 read-
ing speed of a random sample of 20 second grade students
was 92.8 wpm. What might you conclude based on this
result?
Answer (a) 30.85% (b) 4.168 (c) 0.72%
(e) 10.52% of samples will be above 92.8
Transcribed Image Text:Problem#2 23. Reading Rates 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 a randomly selected student will read more than 95 words per minute? (b) What is the probability that a random sample of 12 sec- ond grade students results in a mean reading rate of more than 95 words per minute? (c) What is the probability that a random sample of 24 sec- ond grade students 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 read- ing speed of a random sample of 20 second grade students was 92.8 wpm. What might you conclude based on this result? Answer (a) 30.85% (b) 4.168 (c) 0.72% (e) 10.52% of samples will be above 92.8
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