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Name: The mean SAT score in mathematics is 588. The standard deviation of th
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Description: The mean SAT score in mathematics is 588. The standard deviation of these scores is 47. A special preparation course claims that it's graduates will score higher on average than the mean score 588. A random sample of 150 students completed the course

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 mean SAT score in mathematics is 588. The standard deviation of these scores is 47. A special preparation course claims that it's graduates will score higher on average than the mean score 588. A random sample of 150 students completed the course, and their mean SAT score in mathematics was 591. At the 0.1 level of significance,can we conclude that the preparation course does what it claims? Assume that the standard deviation is also 47.

Perform a one tailed test

(a) State the null hypothesis H, and the alternative hypothesis H,.
H.
H :
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
and
(e) Can we conclude that the population mean adult sodium level differs from
that claimed by the laboratory?
OYes ONo

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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