In: Math
Use R. Provide Solution and R Code within each problem.
For this section use the dataset “PlantGrowth”, available in base R (you do not need to download any packages).
a.Construct a 95% confidence interval for the true mean weight.
b.Interpret the confidence interval in 1. in the context of the problem.
c.Write down the null and alternative hypothesis to determine if the mean weight of the plants is less than 5.
d.Conduct a statistical test to determine if the mean weight of the plants is less than 5. Use α = 0.05.
i.Pvalue
ii.Conclusion