Types of Error: A You take a sample of size 36 from a population, and compute the sample mean, which turns out to be 31.5. The standard deviation of the sample is 3. You want to test whether or not...

Types of Error: A

You take a sample of size 36 from a population, and compute the sample mean, which turns out to be 31.5. The standard deviation of the sample is 3. You want to test whether or not the mean mu of the population is 30, so you run this R-code:

ttestGC(mean=31.5,sd=3,n=36,mu=30)

Your plan is to reject the Null Hypothesis if the P-value is less than 0.05.

Unknown to you, the population mean mu is 30.9.

Which of the following is correct?