Plasma-glucose levels are used to determine the presence of diabetes. Eleven active people age 35- to 44-year-olds were sampled and their plasma-glucose levels were measured. Below is the R code with the R Output. The researcher believes that the plasma-glucose of these active people will be the same as the general population which has a mean of 4.86. Test at a significance level of 5% the researcher's belief. Assume normality of the population. (Round to the nearest hundredth 0.00) RCode: ```{r}Plasma_glucosesummary(Plasma_glucose)sd(Plasma_glucose)``` R Output 4.18, 4.82, 4.29, 4.28, 4.85, 4.73, 5.25, 5.41, 4.78, 5.43, 4.11 Min. 1st Qu. Median Mean 3rd Qu. Max. 4.110 4.285 4.780 4.739 5.050 5.430 0.4826894 ========================================= a) What is the null and alternative hypothesis? Ho: Ha: b) What is the test statistic and calculate its value? c) Find the p-value or critical value depending on the test statistic used above. d) What is your decision and interpretation? (Remember to put the interpretation into the context of the question) e) Find the 95% confidence interval for the true population parameter Is this confidence interval consistent with your decision in part d? Explain why or why not