10. 8 marks In this and the next questions, you will conduct simulation studies in R to explore the concepts we learned for hypothesis testing. For the first simulation study, use the rnorm() function to generate one random sample data (with sample size n = 5) from the distribution N(5, 1), and assign this data to an object called sample1. Then, generate another random sample data (with sample size 5) from the same distribution, and assign this data to an object called sample2. n = (a) Write down the five scores in samplel and the five scores in sample2. Attach the R code for generating the sample data. (b) What are the mean score for sample1 and the mean score for for sample2? What is the difference between these two means? (c) What is the population mean difference between the two groups of scores? Is it exactly the same with the sample mean difference? Explain why it is or it isn't the same. = a (d) Use t.test() function to conduct an independent-samples t-test. Our null hypoth- esis is Ho1 - 2 0. Our alternative hypothesis is H : 2 0. The code for the t-test is provided below. What are your obtained p-value and 95% confidence interval? Suppose = 0.05. Is your test significant? t.test(sample1, sample2, var.equal = T)