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 48 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.) O Part (a) O Part (b) O Part (e) O Part (d) O Part (e) O Part () O Part (g) O Part (h) Indicate the corect decision (reject" or "do not reject the null hypothesis), the reason for it, and write an appropriate conclusion. ) Alpha (Enter an exact number as an integer, fraction, or decimal.) ) Decision: O reject the null hypothesis O do not reject the null hypothesis ) Reason for decision: O Since a > p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. O Since a> p-value, we reject the null hypothesis. O Since a< p-value, we do not reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that the average time it takes to finish the undergraduate degrees is longer than 4.5 years. O There is not sufficient evidence to conclude that the average time it takes to finish the undergraduate degrees is longer than 4.5 years.

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