Can someone help with questions a, b, and c using RStudio? Thanks!

1. Load the R package MASS by typing library(MASS). Type cabbages to check the data set. Type ?cabbages to see the variable information. 1. How many observations are in the data set? > library(MASS) > attach(cabbages) > dim(cabbages) [1] 604 There are 60 observations in the data set 2. How many variables are in the data set? > ncol (cabbages) [1] 4 There are 4 variables in the data set 3. What is the type of HeadWt variable? > class(cabbage=$Headwt) [1] "numeric" It is a numeric type 4. Find five-number summary for HeadWt variable. > summary (cabbages $Headwt) Min. 1st Qu. Median Mean 3rd Qu. 1.000 1.875 2.550 2.593 3.125 Max. 4.300 a. Are there any outliers in Headwt variable? b. Find 95% confidence interval to estimate the population mean of weight of the cabbage head (Headwt). Interpret the confidence interval you found. c. The researcher wants to prove the population mean of weight of the cabbage head is heavier than 2.5 (kg). State the null and alternative hypothesis. Perform the hypothesis test and make your decision based on comparing p-value to 0.05. Make a final conclusion