STAT 417 Project 1 Use JMP to do t-test (30 points) According to the National Geographic Society , the great white shark is the largest predatory fish on Earth , and these sharks have an average length of 15 feet . The data set for this assignment , SharkLengths imp , contains the lengths (in feet ) of 44 randomly selected great white sharks. You will need to open SharkLengths.jmp in JMP, and then use JMP to answer the following questions 1.(6pt) Analysis of the Distribution of Great White Shark Lengths with a Boxplot (a) Create a boxplot in JMP for the data and copy and paste it into your assignment document (b) Based on the boxplot , does the data appear to exhibit any major skewness or have any extreme outliers ? (c) If we accept the assumption that the data truly form a simple random sample from the population of great white sharks , will the t test and t interval procedures be appropriate ? 2. (6pt) Analysis of the Distribution of Great White Shark Lengths using Sample Statistics (a) Use the Analyze Distribution feature in JMF to produce the summary statistics (mean , standard deviation, five number summary, etc.) for the shark length data. Copy and paste the JMP output into your word processor document (b) In addition to including the JMP output , list the following sample statistics in your document and include correct units on each . (0) The sample mean (ii) The sample standard deviation , S (ii) The sample median (iv) The first quartile , Q. (v) The second quartile , Q; (vi) The smallest /minimum shark length in the sample (vii) The largest /maximum shark length in the sample (c) Does the mean for the sample appear to be very different than 15 feet , the mean length for all great white sharks as reported by the National Geographic Society ? 3. (6pt) A Confidence Interval for the Mean Length of Great White Sharks (a) Use JMP to construct a 95 % confidence interval for the mean length of a great white shark Copy and paste the output into your document (b) Using a complete sentence , interpret the results of the 95 % confidence interval in terms of this study. 4. (12pt) Hypothesis Test (a) Perform a hypothesis test at the 0.05 significance level to determine if there is evidence from this data to suggest that mean length of great white sharks significantly differs from 15 feet , the mean length for all great white sharks as reported by the National Geographic Society . Copy and paste the JMP output for the test into your assignment document (b) State the appropriate hypotheses for the test. (c) State the test statistic 'd) State the P-value for the test , and state the decision (reject H, or fail to reject H.). e) Using a complete sentence, interpret the conclusion in terms of this study. if) Would your results be different if you used the 0.10 significance level