We draw a random sample of size 49 from the normal population with variance 3.8. If the sample mean is 12.3, what is a 99% confidence interval for the population mean?

Group of answer choices

a) [12.7816, 14.2184]

b) [11.7019, 13.2981]

c) [11.5827, 13.0173]

d) [12.8512, 14.1488]