SUMMARY STATISTICS 1. Use StatCrunch to fill out the following table of summary statistics: Column n Mean St. Dev. Median Min Max Q1 03 IQ Cave Length (meters) 251 4388 3426 22453, 334 485 24 943506 218 1864 164 Cave Depth (meters) 251 -15.73027 12-250732 - 1307 -419.4 -1. 8 - 204 1- 8. 5 |31 . 6 Number of Cenotes 251 13. 87251 13. 957925 2 163 F 9 CORRELATION AND REGRESSION 2. Use StatCrunch to fill out the following correlation matrix (which is a table displaying the correlation coefficients between the variables): Correlation Matrix Cave Length (meters) Cave Depth (meters) Cave Depth (meters) - 0. 51368 238 Number of Cenotes 0 . 9792167 - 0. 47320897 3. Treating Cave Length as the explanatory variable and Number of Cenotes as the response variable, use StatCrunch to fill out the slope and intercept of the following regression line: Number of Cenotes = 1. 1650558 + 0.00 06 + 69 6509 x Cave Length 4. Using the regression line equation you found in number 2, estimate the number of cenotes that would be found in a cave system that is 7000 meters long. For this question only, round to the nearest whole number Predicted number of cenotes for a 7000 meter-long cave system: CONFIDENCE INTERVALS 5. A researcher wants to compute a 95% confidence interval for the true mean cave depth for the caves in the Quintana Roo region. Should she use a Z-interval or a T-interval? Assuming the data came from a random sample, do you think the other necessary conditions are met to make the confidence interval reliable? Briefly say why or why not.6. Use StatCrunch to calculate the appropriate 95% confidence interval for the variable Cave Depth. 95% C.I. for Cave Depth: Lower Limit - 17.245839 , Upperlimit -24. 214718 7. Give a practical interpretation to the confidence interval you found in number 2. need to go tuitor. HYPOTHESIS TESTING The same researcher wants to know whether the true mean number of cenotes per cave system in the Quin Roo region is greater than 3. She will use a 5% level of significance. 8. What type of hypothesis test is appropriate for this situation, a Z-test or T-test ? Assuming (again) that data came from a random sample, do you think the other necessary conditions are met to perform this Briefly say why or why not? 9. State the hypotheses for the appropriate test using correct statistical notation. 10. Use StatCrunch to perform the test and complete the following table. Variable Sample Mean Standard Error Test Statistic Number of Cenotes P-Value 1 1. What is the conclusion for this test? That is, give a practical interpretation to the p-value