If you want to conduct a study to test whether there are statistically significant differences between the average grades of students in$...$ I specialize in mathematics and accounting in the principles of statistics course in the second semester of the academic year $2022/2023$ at Significance level $=0\mathrm{.}05.$ In order to obtain data for conducting this study, imagine yourself as an employee in the admission and registration department at the university, and then get up By selecting a random sample of $(30)$ students from the grade sheet for the Principles of Statistics course in the second semester of the year Academic year $2022/23,$ so that $(15)$ of them majored in mathematics and $(15)$ of them majored in accounting and recorded their grades. In the Principles of Statistics course, you will have $(30)$ virtual marks. Note that the mark is out of $100.$ After you obtain these $($default$)$ grades, enter them into SPSS and then answer the following questions: Father proved $1.$ Two statistical tests can be used to conduct this study. What are the names of these two tests? $570$ Name of the first test: Name of the second test: $2$ Write the null and alternative statistical hypotheses for each of these tests. The null hypothesis for the first test: Alternative hypothesis for the first test: The null hypothesis for the second test: Alternative hypothesis for the second test: $3.$ What is the value of the test function for each of these tests? Test function $($calculated value$)$ for the first test: $($ Test function Calculated value for the second test: $(4.$ What is the value of the computerized significance level for each of these two tests?