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?
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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Transcribed Image Text: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
mean and standard deviation for the male secondary school students' sample are 71.5 and
16.2 respectively.
.13 respectively. The sample
(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?
2.
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