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).Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).(a) What is the probability a randomly selected student in the city will read more than 95 words per minute?The probability is(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.O A. If 100 different students were chosen from this population, we would expectto read less than 95 words per minute.O B. If 100 different students were chosen from this population, we would expectto read exactly 95 words per minute.O C. If 100 different students were chosen from this population, we would expectto read more than 95 words per minute.(b) What is the probability that a random sample of 12 second grade students from the city results in a mean reading rate of more than 95 words per minute?The probability is(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.O A. If 100 different samples of n= 12 students were chosen from this population, we would expectsample(s) to have a sample mean reading rate of less than 95 words per minute.O B. If 100 different samples of n= 12 students were chosen from this population, we would expectsample(s) to have a sample mean reading rate of more than 95 words per minute.O C. If 100 different samples of n= 12 students were chosen from this population, we would expectsample(s) to have a sample mean reading rate of exactly 95 words per minute.(c) What is the probability that a random sample of 24 second grade students from the city results in a mean reading rate of more than 95 words per minute?The probability is(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.O A. If 100 different samples of n=24 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 95 words per minute.O B. If 100 different samples of n 24 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 95 words per minute.Click to select your answer(s) This Test: 18Question Heyiude Bludents 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 ().Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).OC. If 100 different samples ofn=12 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 95 words per minute.(c) What is the probability that a random sample of 24 second grade students from the city results in a mean reading rate of more than 95 words per minute?The probability is(Round to four decimal placesneeded)Interpret this probability. Select the correct choice below and fil in the answer box within your choiceO A. If 100 different samples of n=24 students were chosen from this population, we would expect samplejs) to have a sample mean reading rate of more than 95 words per minuteO B. f 100 different samples ofn=24 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 95 words per minute.OC. H 100 different samples of n 24 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 95 words per minute(d) What effect does increasing the sample size have on the probability? Provide an explanation for this resultO A. Increasing the sample size increases the probability because a, increases as n increasesO B. Increasing the sample size decreases the probability because a decreases as n increasesOC. Increasing the sample size increases the probability because o, decreases as n increasesO D. Increasing the sample size decreases 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 19 second grade students was 93.1 wpm. What might you conclude based on this result? Select the correct choice below and il in the answer baxes within your choice(Type integers or decimals rounded to four decimal places as needed)O A. Amean 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= 19 students. The new programabundantly more effective than the old program.O B. Amean reading rate of 931 wpm is not 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 19 students. The newprogram 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.)Click to select your answer(s)

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