1. There is a screening procedure designed to give an indication of a secondary student's aptitude towards the Sciences to advance to Form 4 in school. A high score indicates a high aptitude towards the Sciences. A low score would in turn indicate low aptitude towards the Sciences. Independentwandom samples were taken of 201 male secondary school students and 101 female secondary school students about to progress to Form 4 in their respective secondary schools. For the female secondary school students' sample, the sample mean and standard deviation scores were recorded as 85.8 and 18.13 respectively. The sample mean and standard deviation for the male secondary school students' sample are 71.5 and 16.2 respectively. (a) What assumptions can one make about the variances given? Justify your answer at 10% significance level. (b) Can the test be used to conclude that female and male secondary school students have the same aptitude for the Sciences at a 10% significance level?

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.