Q5. A sample of seven measurements, randomly selected from a normally distributed popu- lation, resulted in the following summary statistics: the sample mean 10.8 and sample standard deviation 3 = 3.2. (a) Test the null hypothesis that the mean of the population is 8 against the alterna- tive hypothesis, ,u > 8. Use as = 0.05. (b) Test the null hypothesis that the mean of the population is 8 against the alterna- tive hypothesis, ,u % 8. Use a: = 0.05. (c) Find the pValue for each test using RStudio