The reading speed of second grade students in a large city isapproximately​ normal, with a mean of 90 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 thecity will read more than 95 words per​ minute?
​(b) What is the probability that a random sample of 13 secondgrade students from the city results in a mean reading rate of morethan 95 words per​ minute? then interpret this probability.
(c) What is the probability that a random sample of 26 secondgrade students from the city results in a mean reading rate of morethan 95 words per​ minute? then interpret.
(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. After10 weeks in the​ program, it was found that the mean reading speedof a random sample of 20 second grade students was 92.3 wpm. Whatmight you conclude based on this​ result? Select the correct choicebelow and fill in the answer boxes within your choice.
(f) There is a​ 5% chance that the mean reading speed of arandom sample of 24 second grade students will exceed what​value?
