he reading speed of second grade students in a large city is approximately​ normal, with a mean of 89 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 95 words per​ minute? ​(b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 95 words per​ minute? ​(c) What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 95 words per​ minute? ​(d) What effect does increasing th

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The reading speed of second grade students in a large city is approximately​ normal, with a mean of 89 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 95 words per​ minute?

​(b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 95 words per​ minute?

​(c) What is the probability that a random sample of 20 second grade students from the city 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 reading speed of a random sample of 22 second grade students was 91.5 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.)
 
 
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