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X 8.1.21 Question Help 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 1) Click here to view the standard normal distribution table (page 11 Click here to view the standard normal distribution table (page 21 (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 96 words per minute? The probability is 0.0250 (Round to four decimal places as needed) Interpret this probability Select the correct choice below and fill in the answer box within your choice - A If 100 different samples of n=24 students were chosen from this population, we would expect 3 sample(s) to have a sample mean reading rate of more than 96 words per minute B. If 100 different samples of n = 24 students were chosen from this population, we would expect 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 less than 96 words per minute sample(s) to have a sample mean reading rate of exactly 96 words per minute (d) What effect does increasing the sample size have on the probability Provide an explanation for this result. A. Increasing the sample size increases the probability because e, increases as n increases B. Increasing the sample size increases the probability because : decreases as n increases *C. Increasing the sample size decreases the probablity because ; increases as n increases D. Increasing the sample size decreases the probability because o; decreases as n increases (e) A teacher instituted a new reading program at school. After 10 weeks in the program, was found that the mean reading speed of a random sample of 21 second grade students was 943 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.) BA A mean reading rate of 943 wpm is not unusual since the probability of obtaining a result of 943 wpm or more is 0.1459. This means that we would expect a mean reading rate of 94.3 or higher from a population whose mean reading rate is 92 in 15 of every 100 random samples of size n 21 students. The new program is not abundantly more effective than the old program. B. A mean reading rate of 944.3 wpm is unusual since the probability of obtaining a result of 94.3 wpm or more is This means that we would expect a mean reading rate of 94.3 or higher from a population whose mean reading rate is 92 in of every 100 random samples of size 21 students. The new program is abundantly more effective than the old program Question is complete. Tap on the red indicators to see incorrect answers. All parts showing Similar Question

I need help. PLEASE DONT USE THE STANDARD NORMAL DISTRIBUTION TABLE. use normalcdf as part of your answer.

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Answer 1

Solution:

10 (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 96 words per minute? = 2.041241 24 The probability is 0.0250 (Round to faur decimal places as needed) Vn P(>96) normalcdf (96,99999,92,2.041241) Interpret this probability. Saloct the correct choice belaw and fill in the answer box within your e OA If 100 different semples of n 24 students were chosen from this population, we would expect 3 samplels) to have à sample mean reading rate a 96 werds per minute. B. If 100 different samples of n 24 students were chosen from this population, we would expect samplefs) to have à sample mean reading rate of less than 96 words per minute. C. If 100 different samples ofn 24 sludents were chasen from this population, we would expée amples) to have 10 2.182179 (d) What effect does increasing the sample size have an the probability? Provide an explanation for this result Vn Increasing the sample size increases the probability because n increases as n increases , OA O B. Inereasing the sample size inereases the probability because decreases as n increases. P(T>94.3) C. Incrsasing the sample size decreases the probability because s increases as n increases. normalcdf (94.3,99999,92, 2.182179) CD. Increasing the sample size decreases the probability because a; decreases as n increases (e)A teacher insluted à néw reading program at school. After 10 weeks in the program, it was found that the mean reading ppeed of a random :sample of 21 second grade students was 94.3 wpm. What might you conclude based on this result? Select the comect choice below and fill in the answer baxes with in yeur ehoiee (Type inlegens or decimals rounded to four decimal places as needed.) OA Amean reading rate of 94.3 wpm is not unusual since the probability of obtaining a resut of 43 wpm er more is 0.1459. This maans that we would expect a mean neading rate of 943 ar higher from a papulation whoae mean reading rate is 92 in 15 of every 100 random sample6 of size n 21 students. The new program is not abundantly more elféctive than the old program. Amean reading rate of 94.3 wpm is unusual since the probability of obtaining a result of 94.3 wpm or more isThis means that we would expect a mean reading rate of 94.3 or higher from a population whos8 mean reading rate is 92 OB of every 100 rendom semples of size n-21 students. The naw program is sbundantly more effective than the old program in