The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (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 18 second grade students was 93.1 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.) O A. A mean reading rate of 93.1 wpm is unusual since the probability of obtaining a result of 93.1 wpm or more is . This means that we would expect a mean reading rate of 93.1 or higher from a population whose mean reading rate is 91 in of every 100 random samples of size n = 18 students. The new program is abundantly more effective than the old program. B. A mean reading rate of 93.1 wpm is not unusual since the probability of obtaining a result of 93.1 wpm or more is 0.1865. This means that we would expect a mean reading rate of 93.1 or higher from a population whose mean reading rate is 91 in 19 of every 100 random samples of size n = 18 students. The new program is not abundantly more effective than the old program. (f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed wpm. (Round to two decimal places as needed.)

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The reading speed of second grade students in a large city is approximately​ normal, with a mean of 91 words per minute​ (wpm) and a standard deviation of 10 wpm. Complete parts​ (a) through​ (f).

 

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm.
Complete parts (a) through (f).
(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 18 second
grade students was 93.1 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.)
A.
A mean reading rate of 93.1 wpm is unusual since the probability of obtaining a result of 93.1 wpm or more is
This means that we would expect a mean
reading rate of 93.1 or higher from a population whose mean reading rate is 91 in
of every 100 random samples of size n= 18 students. The new program
is abundantly more effective than the old program.
B. A mean reading rate of 93.1 wpm is not unusual since the probability of obtaining a result of 93.1 wpm or more is 0.1865 . This means that we would expect a
mean reading rate of 93.1 or higher from a population whose mean reading rate is 91 in 19 of every 100 random samples of size n = 18 students. The new
program is not abundantly more effective than the old program.
(f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value?
There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed
wpm. (Round to two decimal places as needed.)
Transcribed Image Text:The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (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 18 second grade students was 93.1 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.) A. A mean reading rate of 93.1 wpm is unusual since the probability of obtaining a result of 93.1 wpm or more is This means that we would expect a mean reading rate of 93.1 or higher from a population whose mean reading rate is 91 in of every 100 random samples of size n= 18 students. The new program is abundantly more effective than the old program. B. A mean reading rate of 93.1 wpm is not unusual since the probability of obtaining a result of 93.1 wpm or more is 0.1865 . This means that we would expect a mean reading rate of 93.1 or higher from a population whose mean reading rate is 91 in 19 of every 100 random samples of size n = 18 students. The new program is not abundantly more effective than the old program. (f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed wpm. (Round to two decimal places as needed.)
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