The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). C A. If 100 different students were chosen from this population, we would expect 34 to read more than 94 words per minute. O B. If 100 different students were chosen from this population, we would expect to read exactly 94 words per minute. O C. If 100 different students were chosen from this population, we would expect to read less than 94 words per minute. (b) What is the probability that a random sample of 14 second grade students from the city results in a mean reading rate of more than 94 words per minute? The probability is (Round to four decimal places ås needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a)
through (f).
O A. If 100 different students were chosen from this population, we would expect 34 to read more than 94 words per minute.
O B. If 100 different students were chosen from this population, we would expect
to read exactly 94 words per minute.
O C. If 100 different students were chosen from this population, we would expect
to read less than 94 words per minute.
(b) What is the probability that a random sample of 14 second grade students from the city results in a mean reading rate of more than 94 words per minute?
The probability is
(Round to four decimal places ås needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fa470bb-a7e2-47b5-bed7-b13f753c7b46%2F1827306c-e2a2-4bd9-8e33-6010ef8e8f79%2Fx7aaflb_processed.jpeg&w=3840&q=75)
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