Answered: In a sample of 12 randomly selected…

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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Related questions

Question

In a sample of

randomly selected high school seniors, the mean score on a standardized test was

1200

and the standard deviation was

160.5.

Further research suggests that the population mean score on this test for high school seniors is

1016.

Does the t-value for the original sample fall between

−t0.90

and

t0.90?

Assume that the population of test scores for high school seniors is normally distributed.

In a sample of 12 randomly selected high school seniors, the mean score on a standardized test was 1200 and the standard deviation was
160.5. Further research suggests that the population mean score on this test for high school seniors is 1016. Does the t-value for the
original sample fall between -to.90 and to.90? Assume that the population of test scores for high school seniors is normally distributed.
The t-value of t =
(Round to two decima
fall between -to.90 and to.90 because to.90
does
does not
=

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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