Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen.ANSWER ALL QUESTIONS PLEASE SHOW WORKD. Would it be unusual if the sample mean were greater than 520? And what is the probability?E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability (a) What is the probability that the sample mean score is less than 484? Round the answer to at least four decimal placeThe probability that the sample mean score is less than 484 is 2195Part 2 of 5Part 3 of 5(b) What is the probability that the sample mean score is between 460 and 500? Round the answer to at least four decinThe probability that the sample mean score is between 460 and 500 is 6306The 10 percentile of the sample mean is 476.79Part 4 of 5(c) Find the 10th percentile of the sample mean. Round the answer to at least two decimal places.It wouldPart: 4/5Part 5 of 5XX5No(d) Would it be unusual if the sample mean were greater than 520? Round the answer to at least four decimal places.X6X▼ be unusual if the sample mean were greater than 520, since the probability is$(e) Do you think it would be unusual for an individual to get a score greater than 520? Explain. Assume the variable is normanswer to at least four decimal places.▼ because the probability that an individual gets a score greater than 520 is5X

Answered: ssume that in a given year the mean…

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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Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen. ANSWER ALL QUESTIONS PLEASE SHOW WORK D. Would it be unusual if the sample mean were greater than 520? And what is the probability? E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability

(a) What is the probability that the sample mean score is less than 484? Round the answer to at least four decimal place
The probability that the sample mean score is less than 484 is 2195
Part 2 of 5
Part 3 of 5
(b) What is the probability that the sample mean score is between 460 and 500? Round the answer to at least four decin
The probability that the sample mean score is between 460 and 500 is 6306
The 10 percentile of the sample mean is 476.79
Part 4 of 5
(c) Find the 10th percentile of the sample mean. Round the answer to at least two decimal places.
It would
Part: 4/5
Part 5 of 5
X
X
5
No
(d) Would it be unusual if the sample mean were greater than 520? Round the answer to at least four decimal places.
X
6
X
▼ be unusual if the sample mean were greater than 520, since the probability is
$
(e) Do you think it would be unusual for an individual to get a score greater than 520? Explain. Assume the variable is norm
answer to at least four decimal places.
▼ because the probability that an individual gets a score greater than 520 is
5
X

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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