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). (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 20 second grade students was 91.8 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 91.8 wpm is unusual since the probability of obtaining a result of 91.8 wpm or more is This means that we would expect a mean reading rate of 91.8 or higher from a population whose mean reading rate is 89 in program is abundantly more effective than the old program. of every 100 random samples of size n= 20 students. The new O B. A mean reading rate of 91.8 wpm is not unusual since the probability of obtaining a result of 91.8 wpm or more is This means that we would expect a mean reading rate of 91.8 or higher from a population whose mean reading rate is 89 in program is not abundantly more effective than the old program. of every 100 random samples of size n= 20 students. The new (f) There is a 5% chance that the mean reading speed of a random sample of 23 second grade students will exceed what value?

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3 (Parts E and F)

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).

(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 20 second grade students was 91.8 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.)

- Option A: A mean reading rate of 91.8 wpm is unusual since the probability of obtaining a result of 91.8 wpm or more is [ ] This means that we would expect a mean reading rate of 91.8 or higher from a population whose mean reading rate is 89 in [ ] of every 100 random samples of size n = 20 students. The new program is abundantly more effective than the old program.

- Option B: A mean reading rate of 91.8 wpm is not unusual since the probability of obtaining a result of 91.8 wpm or more is [ ] This means that we would expect a mean reading rate of 91.8 or higher from a population whose mean reading rate is 89 in [ ] of every 100 random samples of size n = 20 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 23 second grade students will exceed what value?

There is a 5% chance that the mean reading speed of a random sample of 23 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 89 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 20 second grade students was 91.8 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.) - Option A: A mean reading rate of 91.8 wpm is unusual since the probability of obtaining a result of 91.8 wpm or more is [ ] This means that we would expect a mean reading rate of 91.8 or higher from a population whose mean reading rate is 89 in [ ] of every 100 random samples of size n = 20 students. The new program is abundantly more effective than the old program. - Option B: A mean reading rate of 91.8 wpm is not unusual since the probability of obtaining a result of 91.8 wpm or more is [ ] This means that we would expect a mean reading rate of 91.8 or higher from a population whose mean reading rate is 89 in [ ] of every 100 random samples of size n = 20 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 23 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 23 second grade students will exceed [ ] wpm. (Round to two decimal places as needed.)
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