solve parts A-D using R or r studio

1. The body temperature in degrees Fahrenheit of 40 randomly chosen healthy adults is measured. The standard deviation is known to be 0.68 degrees Fahrenheit. The sample mean for the measurements is x- 98.37. (a) Are the necessary conditions for constructing a valid z-interval satisfied? Explain you answer. b) Find a 99% confidence interval for the mean body temperature and explain its meaning (c) Consider the simple hypothesis for the mean body termperature in degrees Fahrenheit Ho H 98.6 versus Hi 98.4 Give the critical value for x, the sample mean body temperature when the significance level 0.01 (d) Do we reject with x = 98.37? Explain your answer. (e) Fil in the following table with the number of observations n necessary for the given level of significance and power significance power0.05 0.02 0.01 0.80 0.90 0.95 (f) Which value n* is the highest? lowest? Explain your answer (g) Find the power of the test in part (c) and indicate this value using the critical value for the test and drawing the distribution of the sample mean X for the null and alternative hypothesis 1. The body temperature in degrees Fahrenheit of 40 randomly chosen healthy adults is measured. The standard deviation is known to be 0.68 degrees Fahrenheit. The sample mean for the measurements is x- 98.37. (a) Are the necessary conditions for constructing a valid z-interval satisfied? Explain you answer. b) Find a 99% confidence interval for the mean body temperature and explain its meaning (c) Consider the simple hypothesis for the mean body termperature in degrees Fahrenheit Ho H 98.6 versus Hi 98.4 Give the critical value for x, the sample mean body temperature when the significance level 0.01 (d) Do we reject with x = 98.37? Explain your answer. (e) Fil in the following table with the number of observations n necessary for the given level of significance and power significance power0.05 0.02 0.01 0.80 0.90 0.95 (f) Which value n* is the highest? lowest? Explain your answer (g) Find the power of the test in part (c) and indicate this value using the critical value for the test and drawing the distribution of the sample mean X for the null and alternative hypothesis