The statistical analyses

The statistical analyses   Complete the statistical analyses that follow for the sample data below. If you do the work for this project by hand, you must show the work you do to arrive at your results. If you use technology (Excel, graphing calculator, etc.) to obtain the results, you must state the technology you used to obtain the results. Project Data: Lengths of 30 random rivers in the world measured in miles 431 800 485 500 800 309 926 790 618 383 375 605 425 380 531 538 434 300 540 800 420 301 659 865 360 512 424 338 430 652 1. (10 points) Construct a grouped frequency distribution for the sample data. Use 6 classes. Use the minimum data value as the lower limit of the first class. Class Limits Class Boundaries Frequency Relative Frequency Cumulative Frequency 2. (3 points) Draw a histogram for the data set. Title the graph and label the axes appropriately. 3. (2 points) Does the distribution appear to be normal (yes or no)? Explain. 4. (10 points) Find the following descriptive statistics for the sample data. Mean Median Mode(s) Range Standard Deviation 5. (3 points) Find the quartiles for the data. Q1 = _______________ Q2 = _______________ Q3 = _______________ 6. (2 points) Sketch a box plot. Do your best to draw it to scale. 7. (2 point) What is the IQR for this data set? ____________ 8. (3 points) Outlier identification Any value in this data set that is less than ________ or greater than _______ is to be considered an outlier. Therefore, the following values in this data set are outliers (write “none” if there are no outliers): 9. (3 points) Construct a 95% confidence interval for the population’s mean. ____________ < μ < ____________ 10. (2 points) If someone were to ask you what this particular confidence interval means, what would you say? 11. (10 points) Test the hypothesis that the population’s mean is different from the sample’s median value. Use the traditional method. Use α = 0.05. AlternatZve hypothesis (H1): ________________ Null hypothesis (H0): _____________________ Critical value: ____________ Test statistic: ____________ Conclusion: Do you reject the null hypothesis (yes or no)? _________ If someone were to ask what the conclusion means in this particular study, what would you say?