1. Students who are home-schooled often attend their local schools to participate in various types of activities such as sports or musical ensembles. According to the government, 82% of home-schoolers receive their education entirely at home, while 12% attend school up to 9 hours per week and 6% spend from 9 to 25 hours per week at school. A survey of 85 students who are home-schooled revealed the following information about where they receive their education. Entirely at home Up to 9 hours 9 to 25 hours 50 25 10 At a=0.05, is there suffificient evidence to conclude that the proportions differ from those stated by the government? ind the critical X^2 value

As a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC.  The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night.  A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate.  85 homes were watching CNN and NSNBC cable stations.  At the 0.05 significant level, can we conclude that the guideline is still reasonable?

3. A mathematics placement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. The placement test scores and the final grades for 20 students who took the regular course were recorded as follows: Placement Test Course Grade | Placement Test | Course Grade 50 53 90 54 35 35 41 80 60 91 61 48 40 56 60 71 55 68 60 71 65 36 40 47 35 11 55 53 60 70 50 68 90 79 65 57 35 59 50 79 (a) Plot a scatter diagram. (b) Find the equation of the regression line to predict course grades from placement test scores. (c) Graph the line on the scatter diagram (d) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course?

Here are some summary statistics for the numbers of hectares of olives and apples harvested per region, for area that planted those crops. In Region A, there were 36 hectares of olives harvested and 18 hectares of Apples harvested. Relative to its crop, which plant had a better harvest? A: They had equally good harvests relative to their crops. B: The Olives. C: It’s impossible to say without seeing all of the harvest amounts. D: The Apples.