6. In the Spring 2020 semester an experiment was conducted in class where solved "A Simple Chair" Tangram puzzle. They were split into two groups, female (F) and male (M). For each student, the time it took them to solve this puzzle was recorded in seconds. Import and attach the data set using the following code: tantime 1-read.csv('https://www.dropbox.com/s/5gnz13ylyjInlhj/tanggenT1.txt?dl=1',header=T,sep="," attach(tantime ]) Use the data set to do the following: (a) Test the normality of each gender group and comment on what you think about the normal- ity of our data after doing the following: 1. Create a qqnorm with qqline and run a shapiro. test for the female group. 2. Create a qqnorm with qqline and run a shapiro. test for the male group. (b) In order to determine which t-test method is more appropriate, Run an F-test for the equality of variances. Give me the results of your test and tell me whether we should run a -test with equal or unequal variances. What made you come to this decision? (c) Regardless of your thoughts from the normality test and based on your decision in part (b), run an Independent Samples t-Test on the data. Test the hypothesis that the females took less time to solve the puzzle than the males. Include the hypotheses for this test. (d) Write a well written conclusion for your hypothesis test. (e) Construct and carefully interpret a 90% Independent Samples t confidence interval for the population mean difference in Tangram solve time between the female group and the male group