please solve the problems "by hand" you may do partial calculations in R though

show detailed works and steps, if use R show the commands.

please don't just give me an R output Please provide detailed steps how you get the answers.

Consider the accompanying data on plant growth after the application of different types of growth hormones. H1 H2 H3 H4 H5 13 21 18 7 6 17 13 15 11 11 7 20 20 18 15 14 17 17 10 8 (a) Is there evidence of a difference in mean growth among the five different hormone treatment? Use a = 0.05. What assumptions have you used? (b) Find a 90% confidence interval for the mean difference in plant growth for plants treated with hormone 2 and hormone 5. (c) Find a 90% confidence interval for the mean growth for plants receiving hormone 2