1. Calculate the mean, standard deviation, and n for the data given. 2. An experiment was run by the Soho County School District that suggested having a routine sleep schedule improved average grades by 25%. The experiment's mean is experiment = 86. Suppose that to be certain of this claim, the experiment's mean must be at least 1 standard deviation away from the original data set's mean. Does the data suggest that this claim is accurate? 3. The standard error indicates the "wiggle room" of means that come from different data sets if the same data were collected again. The standard error of a data set is defined with o being the standard deviation and r being the sample size. What is the standard error of the student's grades? 4. Previous school district surveys have produced an average grade of previous = 70. Does the mean of the previous surveys fall within 1 standard error of the current data set given above? Explain what this means. 5. Suppose that the Soho County School District has made a deal to throw an ice cream party if the sum of all the grades in the data set is divisible by 3. Is this a fair 50/50 deal? Why or why not? 6. Suppose that the Soho County School District wants to create a report that says 84% of students have a grade over 54. Would you amend this statement, and if so, how? Study Time (hours per day) Grade (out of 100) 1.5 2 65 70 3 75 1 50 4.5 85 2.5 68 1.8 60 3.5 78 2.2 73 1.7 55 4 80 2.8 72 1.2 45 3.7 82 2.3 74