statistics math

Sucrose Percentages of Sugar Beets and Sugar Cane Sucrose, ordinary table sugar, is probably the single most abundant pure organic chemical in the world and the one most widely known to non-chemists. Whether from sugar cane (20% by weight) or sugar beets (15% by weight) and whether raw or refined, common sugar is still sucrose. Fifteen U.S. sugar beet-producing counties were randomly selected and their 2001 sucrose percentages recorded. Similarly, 12 U.S. sugar-cane producing counties were randomly selected and their 2001 sucrose percentages were recorded. Sugar beet sucrose: 17.30, 16.46, 16.20, 17.53, 17.00, 18.53, 16.77, 16.11, 15.30, 17.90, 15.98, 17.30, 17.94, 17.30, and 16.60 Sugar Cane sucrose: 14.1, 13.5, 15.2, 15.0, 13.6, 13.6, 14.8, 13.7, 11.7, 14.3, 13.8, 13.8 Directions: Answer the questions and complete the following exercise. 1. What is the goal of this study? 2. Define the main variable. 3. What constitutes the population of this study? What is the sample size? 4. Compute the mean, median, and standard deviation of each data set. 5. Draw appropriate graphs comparing the means and standard deviations of the two data sets. Use EXCEL to generate these graphs. 6. Write a paragraph describing the similarities and differences between the two data sets, using appropriate descriptive statistics such as means, median, standard deviation, etc. 7. Perform a hypothesis test to determine if there is a significant difference between the sucrose percentages of the US sugar beet producing counties and the sugar cane producing counties. Use 5% significance level. Let: An = mean sucrose percentage of sugar beet-producing countries Ay = mean sucrose percentage of sugar cane-producing countries To perform the hypothesis test use the 5-step process: a) State Ho and H1 in symbols and in words. Identify which hypothesis is the claim and the type of test (right-tail, left-tail, two tail). b) Determine the critical value and label it. (example, z = 1.96 ort = -2.421, etc). c) Compute the test value, z or t. If you are using the p-value method, then compute the test value and include the p-value of the test (4 decimal places). d) Make the decision to Reject Ho or Do not reject Ho. e) State your complete conclusion in the context of the claim. 8. Discuss how this information and data might be used in the real world