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

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An Article In The San Jose Mercury News Stated That Students In The California State University System Take 4 5 Years O 1 (57.86 KiB) Viewed 10 times

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? a. HO: b. Ha: c. In words, CLEARLY state what your random variable X d. State the distribution to use for the test. e. What is the test statistic? f. The p-value=0.0005. In one or two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value. n h. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences. i. Alpha: ii. Decision: iii. Reason for decision: iv. Conclusion: i. Construct a 99% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.