Personals IELTS Scores - Coursework Example

To Investigate the Relationship between a Personal’s IELTS Scores in Listening and Reading when Doing Math Introduction The major aim of this study is to investigate the relationship between a personal’s IELTS scores in listening and reading when doing math. The major focus is to determine if there is a statistically significant difference between the mean scores of a personal IELTS scores in listening and reading when doing math test. To meet this aim or objective, a two sample test was the appropriate statistical method that was used. The data was collected by randomly selecting the test scores from three different classes. It was made sure that the data is valid or statistically significant by interpreting the p value. For instance, if p value was greater than 0.05, then it meant that the data is not statistically significant. The test was divided into two sections that include descriptive and inferential statistics. Initially, the test was undertaken on small sample size then later on larger sample size. The hypothesis of the study is; there is a relationship between the mean scores of a personal IELTS scores in listening and reading when doing math. In this case, the math test is considered to be independent variable while scores of a personal IELTS scores in listening and reading are considered to be dependent variables. The IELTS test can be defined as a high stakes selection test that is applied in measuring the proficiency in English language of NESB students who intend to study in a tertiary institution (Hawkey 2006). The test report is based on the test performance and it includes a band score that is between 0-9 for every sub test as well as an overall score; the mean of the results. The IELTS which his considered as the admission tool is seen to have become popular for the past decade (Hawkey 2006) Null Hypothesis There is no statistically significant difference between the mean scores of a personal IELTS scores in listening and reading when doing math test. Alternative Hypothesis There is no statistically significant difference between the mean scores of a personal IELTS scores in listening and reading when doing math test. Descriptive statistics Table 1. FMU6PA Listening   Reading   Mean 7.5 Mean 8.083333 Median 7.5 Median 8.25 Standard Deviation 0.948683 Standard Deviation 0.73598 Confidence Level(95.0%) 0.995582 Confidence Level(95.0%) 0.772364 The table above shows that FMU6PA group has a mean score of 7.5 and 8 for listening and reading respectively. The standard deviation is also 0.39 and 0.3 respectively. This means that the variation in listening data is higher than that of reading. The median and mean is almost the same for reading and this implies that the data is normally distributed Table 2.Foundation science Listening   Reading   Mean 7.7 Mean 6 Median 8 Median 6 Mode 7 Mode 6 Standard Deviation 0.67082 Standard Deviation 0.935414 Count 5 Count 5 Confidence Level(95.0%) 0.832934 Confidence Level(95.0%) 1.16147 The table above shows that Foundation science group has a mean score of 7.7 and 6 for listening and reading respectively. The standard deviation is also 0.3 and 0.41 respectively. This means that the variation in reading data is higher than that of listening. Table 3. FML6 Listening   Reading   Mean 6.8125 Mean 6.1875 Standard Error 0.377226 Standard Error 0.481233 Median 6.5 Median 6.5 Mode 6.5 Mode 7.5 Standard Deviation 1.066955 Standard Deviation 1.361131 Sample Variance 1.138393 Sample Variance 1.852679 Kurtosis -1.14868 Kurtosis 1.147866 Skewness 0.534782 Skewness -1.20647 Range 3 Range 4 Minimum 5.5 Minimum 3.5 Maximum 8.5 Maximum 7.5 Sum 54.5 Sum 49.5 Count 8 Count 8 Confidence Level(95.0%) 0.891997 Confidence Level(95.0%) 1.137934 The table above shows that FML6 class group has a mean score of 6.8 and 6.18 for listening and reading respectively. The standard deviation is also 0.38 and 0.48 respectively. This means that the variation in reading data is higher than that of listening. Figure 1.Listening plotted against reading The above figure shows a linear relationship between listening and reading Table 4. Correlation matrix with R squared of 0.42   listening reading Column 1 1 Column 2 0.649538 1 The correlation matrix above shows that there is strong positive correlation between listening and reading and this is indicated by a correlation coefficient of 0.65 Inferential statistics t-Test: Two-Sample Assuming Equal Variances   8.5 6 Mean 7.5 6 Variance 0.333333 1.166667 Observations 4 4 Pooled Variance 0.75 Hypothesized Mean Difference 0 df 6 t Stat 2.44949 P(T Read More