1. A random sample of size 41 students is taken, resulting in a sample age mean of 20.5 years old and a sample standard deviation of 6.5 years. Assume x is normally distributed and you want to set alpha equal to 0.05. Using this information, test the following hypotheses
Ho: μ = 18 Ha: μ ≠ 18
a. Compute the relevant test statistic
b. Can you reject the null hypothesis? Why or why not?
c. Can you reject the null hypothesis using a 95% level of confidence?