Question

228. Suppose I test Ho: H = Ho vs. H : H > Ho with a = 0.2. Write a line of R code to calculate the critical value for my test. 229. Suppose I test Ho: M = Mo vs. H: 4 <Mo with a = 0.15. Write a line of R code to calculate the critical value for my test. 230. Suppose I test H, : : x = 4 vs. Hy : pl > 4. My sample mean equals 4.8 with a standard error of 0.3. Write a line of R code to calculate the p-value of my test. 231. Suppose I test H: := -1 vs. H: H <-1. My sample mean equals -2.1 with a standard error of 0.6. Write a line or R code to calculate the p-value of my test.

Answer 1

R code -

#228
qnorm(0.2, lower.tail = FALSE) #For right tail test
#229
qnorm(0.15) #For left tail test
#230
pnorm(4.8, 4, 0.3, lower.tail = FALSE) #For right tail test
#231
pnorm(-2.1, -1, 0.6) #For left tail test

Running the above code, we get

228.

Critical value = 0.8416

229.

Critical value = -1.0364

230.

p-value = 0.0038

231.

p-value = 0.0334