h and i part The built-in data set, rock, is a data frame recording the measurements of rock sample from a petroleum reservoir. We are interested in the area column of rock. Using R we can convertthis column into the vector x by the assignment x<-rock$shape. Assume that the n area measurements x=(X₁, X₂,...,xn) are a random sample from a population with true unknownmean μ and true unknown variance 2. Remember, let x be defined by x<-rock$shape.a) Calculate, n, the number of elements in x. 48b) Calculate the sample standard deviation s, of x.c) Estimate true mean μ, using this data by calculating the sample mean.d) Calculate the sample variance of x.e) Calculate the interquartile range of x, using R.f) Calculate the 50th percentile of x using R.g) Calculate a trimmed mean for x using R.48h) Since the sample size is >30 we can create a confidence interval for μ using a normal critical value. If we want the confidence interval to be at the 94% level and we use a normalcritical value, then what critical value should we use?i) Calculate a 94% confidence interval(using a normal critical value) for μ.

h) The objective is to find the critical value. Confidence level is 94% i.e., 0.94. Significance…

h) Since the sample size is >30 we can create a confidence interval for using a normal critical value. If we want the confidence interval to be at the 94% level and we use a normal critical value, then what critical value should we use? i) Calculate a 94% confidence interval(using a normal critical value) for μ.