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
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