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). (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 18 second grade students was 93.1 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 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 = 18 students. The new program is abundantly more effective than the old program. B. A mean reading rate of 93.1 wpm is not unusual since the probability of obtaining a result of 93.1 wpm or more is 0.1865. 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 19 of every 100 random samples of size n = 18 students. The new program 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 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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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).

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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