According to a school in Baghdad , the average grade for pupils in the 12th grade is 95.A sample of 30 students is taken to verify the claim, and it is discovered that the average mark of the students is 95, with a standard deviation of 0.5. Identify some potential lurking variables (if any) that may complicate the relationship you are examining. What is your null and alternative hypothesis? Use mathematical phrasing if possible (e.g. the mean of group one will be greater than the mean of group two). If not, you can restate the null and alt from Part A. What statistical test will you perform to test your hypothesis and how will you determine whether or not your result is statistically significant?

Given: μ = 95 n = 30 X = 95 S = 0.5 Formula Used: Test-statistic t = X-μSn

Answered: According to a school in Baghdad , the…

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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According to a school in Baghdad , the average grade for pupils in the 12th grade is 95.

A sample of 30 students is taken to verify the claim, and it is discovered that the average mark of the students is 95, with a standard deviation of 0.5.

Identify some potential lurking variables (if any) that may complicate the relationship you are examining.
What is your null and alternative hypothesis? Use mathematical phrasing if possible (e.g. the mean of group one will be greater than the mean of group two). If not, you can restate the null and alt from Part A.
What statistical test will you perform to test your hypothesis and how will you determine whether or not your result is statistically significant?

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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