An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, o

[answerhappygod]

An article in the San Jose Mercury
News stated that students in the California state
university system take 4.5 years, on average, to finish their
undergraduate degrees. Suppose you believe that the mean time is
longer. You conduct a survey of 49 students and obtain a
sample mean of 5.1 with a sample standard deviation of 1.2. Do the
data support your claim at the 1% level?

Note: If you are using a Student's t-distribution for
the problem, you may assume that the underlying population is
normally distributed. (In general, you must first prove that
assumption, though.)
What is the p-value?
What is the alpha?
Construct
a 95% confidence interval for the true mean. Sketch the graph of
the situation. Label the point estimate and the lower and upper
bounds of the confidence interval. (Round your lower and upper
bounds to two decimal places.)