Math  /  Data & Statistics

QuestionThe 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). (a) What is the probability a randomly selected student in the city will read more than 97 words per minute?
The probability is 0.3085 (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 students were chosen from this population, we would expect to read exactly 97 words per minute B.- If 100 different students were chosen from this population, we would expect 31 to read more than 97 words per minute C. If 100 different students were chosen from this population, we would expect to read less than 97 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 97 words per minute?
The probability is \square (Round to four decimal places as needed.)

Studdy Solution
Find the probability that the sample mean is more than 97 wpm using the z-score.
Using the standard normal distribution table, find P(Z>1.581) P(Z > 1.581) .
The probability P(Z>1.581)1P(Z1.581)10.9429=0.0571 P(Z > 1.581) \approx 1 - P(Z \leq 1.581) \approx 1 - 0.9429 = 0.0571 .
The probability is:
0.0571 \boxed{0.0571}

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