Write a short summary explaining the example of F test (var.test) shown below: # 1. What is the purpose of the test  # 2. What is calculated in the test # 3. What are the assumptions of the test # 4.

Write a short summary explaining the example of F test (var.test) shown below:# 1. What is the purpose of the test # 2. What is calculated in the test# 3. What are the assumptions of the test# 4. Explain how to interpret the following items in the output of var.test():# ...4.1... F = 0.332# ...4.2... num df = 9, denom df = 19# ...4.3... p-value = 0.094# ...4.4... alternative hypothesis: true ratio of variances is not equal to 1# ...4.5... 95 percent confidence interval: 0.11519 1.22196# ...4.6... sample estimates: ratio of variances 0.33175# 5. In the example below:# ...5.1... what is the null hypothesis Ho?# ...5.2... what is the significance level? # ...5.3... having compared the p-value with the significance level, # ........... should we reject Ho? # ...5.4... having compared the sample estimate and the confidence interval,# ........... should we reject Ho? (hint: are the sample estimate and confidence# ........... interval obtained from the same data?)# ...5.5... having compared the hypothesized ratio of the population variances # ........... of x and y and the confidence interval, should we reject Ho? #------------------------------------------------------------------set.seed(101)x <- runif(n=10, min=6, max=10)set.seed(102)y <- runif(n=20, min=12, max=18)var.test(x, y)#------------------------------------------------------------------# F test to compare two variances## data: x and y# F = 0.332, num df = 9, denom df = 19, p-value = 0.094# alternative hypothesis: true ratio of variances is not equal to 1# 95 percent confidence interval:# 0.11519 1.22196# sample estimates:# ratio of variances # 0.33175