Biol 270 m Statistics review homework Does NOT get turned in! Will be discussed in class. 1) Give a one-sentence definition for each of the following: a) Mean: b) Median: c) Mode: d) Dependent variable: e) Independent variable: f) Standardized variable: 2) What are the two \"goals\" of statistics? 3) Fill in the blanks in the table below, note that there may be more than one answer for each: 4) What is the definition of a p value? (Hint: it represents the probability that...) 5) If you make a Type I error, then you have made the following wrong decision: 6) If you make a Type II error, then you have made the following wrong decision: 7) For the following sentence that describes the null hypothesis, write the null and alternate hypotheses and the Type | and Type II error statements (sentences giving your interpretations): "Bio 270 students work an average of 15 hours per week on homework.\" Biol 270 Mates. 8) The data below are from the Center for Disease Control and Prevention. Characterize the relationship (positive or negative?) between year and number of HIV cases. Be sure to report the equation of the line, R2, and p value. You do not need to provide a graph. Year if HIV cases Year if HIV Year if HIV Year if HIV cases cases cases m Equation of the line: R2 value: P value: Results statement: 9) One of the many ways to test the efficacy of new diet regimes is to test their effects in rats. In the table below are the two sets ofjuvenile rats; rats in set A did not get the diet, rats in set B did get the diet treatment for three weeks. The data are (final weight initial weight} in milligrams. Did the diet affect weight gain significantly? MEI-mmm-El EMEM-WEEE Give the mean and standard deviation for each group. Group A mean: Group A standard deviation: Group B mean: Group B standard deviation: Before you run the T-test, guess (based on mean and standard deviation} whether the groups will be significantly different. Do they look different to you (before running the test?) Now analyze the data using a T-test. What can you conclude about the efficacy of the diet? Was your guess correct? What type of two-sample T-test are you using? P value: Interpretation: Biol 270 My; 10) The Washington state economy depends heavily on the cherry harvest. The state's Secretary of Agriculture requested a study of the phosphorus contents of cherry tree leaves from three different regions of WA to determine which region is most successful in producing healthy cherry trees (high P implies good tree health} so that the state can send additional resources to the part of the state where the cherry trees are the most productive. "M ammu- lil-_IEE- \"BE- I___ m Which regions should get special funds to develop more cherry orchards? Why? Support your answer with a p value. Results statement: Graph the data in the most appropriate manner to show differences between the regions, remember to note any statistically significant differences with letters