Use a sample size of 169,203 for the 100k income

Family Income Level Average SAT Score 2019 Less than $30,000 970 $40,001 $60,000 1070 $100,001-$140,000 1150 Over $100,000 1230 Standard deviation: Typically SAT test scores have a standard deviation of 210 point for all students, but it is lower for homogenous groups of students. Since we do not have data sets to find standard deviation, looking at historical data in tables 319-321 in the PDF of data here and using properties of standard deviation, you can use the following approximation for standard deviation: 5: 190 for the lower income bracket and 5:165 for the upper income bracket. 5. Conduct a hypothesis test for two means with population 1 being low income (less than $20,000) and high income greater than $200,000 to determine if there is a statistical difference in the average SAT scores for high and low income students as the articles indicate. (Used a sample size of 169,203 for lower income and a sample size of 161,809 for high incomell Use 0.05 significance level and provide both hypothesis test {state the null and alternative hypothesis, as well as the statistics you are using) and the confidence interval for the difference in means. Show all work as in the previous problem. Insert images and annotations here 6. Explain using the language of statistics what the result means in terms of the null and alternative hypotheses. Explain with both the pvalue and the condence interval Type answer here H ll________lJ_L_ _II_...!____|.!_I__