A university lecturer collects data from a sample of 11 students on their Continuous Assessment Tests (CAT) score and their final examination and tabulate. The table below should the respective students score in CATs and final examination for a course of biostatistics CAT score 5964666368667069626566Final score 6665706971697073696769 The lecturer would like to undertake further analysis to determine if the mean scores between CATS and final examination differ significantlyWhat would be the appropriate statistical test? Explain your answerState the null and alternative hypothesisDetermine the test statisticApply the statistical test and make your conclusions as regarding your hypothesis

Name: A university lecturer collects data from a sample of 11 students on th
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Description: A university lecturer collects data from a sample of 11 students on their Continuous Assessment Tests (CAT) score and their final examination and tabulate. The table below should the respective students score in CATs and final examination for a cours

1. In this case, it is needed to know whether the mean scores between CATS and final examination…

Answered: A university lecturer collects data…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A university lecturer collects data from a sample of 11 students on their Continuous Assessment Tests (CAT) score and their final examination and tabulate. The table below should the respective students score in CATs and final examination for a course of biostatistics

CAT score	59	64	66	63	68	66	70	69	62	65	66
Final score	66	65	70	69	71	69	70	73	69	67	69

The lecturer would like to undertake further analysis to determine if the mean scores between CATS and final examination differ significantly
1. What would be the appropriate statistical test? Explain your answer
2. State the null and alternative hypothesis

Determine the test statistic

Apply the statistical test and make your conclusions as regarding your hypothesis

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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