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Research Question
The research question states that there is a relationship between the average hours studied per week during the schooling year to that of other students. The null hypothesis is there is no relationship between the average hours I spent per week on school days and those of other students. Alternative states that there is a significant relationship between the hours I spent during the schooling year to those of other students. The level of significance to be used in the study is 0.05.
Dataset and Summary Statistics
The analysis involves testing a sample population of size 10. A number of ten students were asked questions concerning the average hours per week they spent studying during their schooling year. The results are shown in the table above, which contains one column for the number of students and the other for hours studying per week. The numbers used are random estimates to determine the mean average.
Tests Statistics
Since the statistics are two-tailed tests, the level of confidence is divided by two to aid in the calculation of critical value. Given the parameters such as the two mean, standard deviation, and sample size, the test statistic is calculated using the above formula. Based on the analysis, the value of test statistics is more extreme than that of the critical value. Therefore, the null hypothesis is rejected.
Summary
From the analysis of the statistics, since the t value is greater than the critical value, the null hypothesis is rejected. Using a 95% confidence level, the average mean of the hours per week studied ranges between 19.97 and 23.63. The alternative hypothesis is accepted, which means there is a significant relationship between the average hours per week I studied during my schooling year and those of other students.
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