The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O A. If 100 independent samples of n= 28 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. O B. If 100 independent samples of n= 28 students were chosen from this population, we would expect 0 sample(s) to have a sample mean reading rate of more than 97 words per minute. OC. If 100 independent samples of n= 28 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. O A. Increasing the sample size decreases the probability because o; increases as n increases. B. Increasing the sample size decreases the probability because o; decreases as n increases. OC. Increasing the sample size increases the probability because o; decreases as n increases. O D. Increasing the sample size increases the probability because o; increases as n increases. (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 94.7 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 94.7 wpm is unusual since the probability of obtaining a result of 94.7 wpm or more is . This means that we would expect a mean reading rate of 94.7 or higher from a population whose mean reading rate is 92 in of every 100 random samples of size n= 20 students. The new program is abundantly more effective than the old program. O B. A mean reading rate of 94.7 wpm is not unusual since the probability of obtaining a result of 94.7 wpm or more is 0.1131. This means that we would expect a mean reading rate of 94.7 or higher from a population whose mean reading rate is 92 in 11 of every 100 random samples of size n= 20 students. The new program is not abundantly more effective than the old program. () 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.)