In the past years, the mean of Math test scores in a 4th grade class was 18. The following is a set of scores from 10 students from this year. A hypothesis testing needs to be conducted in order to compare the means to see if this year’s students (based on this year's sample) are performing at the same level as the previous years. < Data 3-1 >Subject #Score(Score)^212040021316931316942040052984163210247235298204009256251015225Total2104782 a) Is there a significant difference between the sample mean of scores and the population mean? Carry out all 9 steps of the hypothesis testing. Use alphaα=0.05b)Calculate the estimated population standard deviation of scores in the sample

Given that a..We have to hypothesis test for the claim that the population mean is different than…

Answered: In the past years, the mean of Math…

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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In the past years, the mean of Math test scores in a 4th grade class was 18. The following is a set of scores from 10 students from this year. A hypothesis testing needs to be conducted in order to compare the means to see if this year’s students (based on this year's sample) are performing at the same level as the previous years.

< Data 3-1 >

Subject #	Score	(Score)^2
1	20	400
2	13	169
3	13	169
4	20	400
5	29	841
6	32	1024
7	23	529
8	20	400
9	25	625
10	15	225
Total	210	4782

a) Is there a significant difference between the sample mean of scores and the population mean? Carry out all 9 steps of the hypothesis testing. Use alphaα=0.05

b)Calculate the estimated population standard deviation of scores in the sample

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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