This is a math statistic and I need the answer to be explained on how it been solved for each problem . The explanation can be provided in handwritten. Just make sure the writing is clear enough to understand that. I just said that because it's math, so it might be harder for experts to write explanation in word documents..However the answer should be answered in word .
10. Find the endpoint(s) on the normal density curve with the given property. The area to the right of the endpoint on a N(70, 14) curve is about 0.03. A) 72.037 B) 96.331 C) 143.783 D) 127.963 11. A parent says her 10-year-old daughter is in the 95th percentile in height. How tall is the girl? Report your answer with one decimal place. A) 55.2 inches B) 50.8 inches C) 52.2 inches D) 58.8 inches 12. The tallest 10% of 10-year-old girls are taller than what height? Report your answer with one decimal place. A) 54.4 inches B) 57.2 inches C) 51.3 inches D) 47.2 inches 13. Final grades in Professor Albert's large calculus class are approximately normally distributed with a mean of 72 (%) and standard deviation of 7 (%). What proportion of students earn between an 80% and 86% in this class? Report your answer with two decimal places. A) .88 B) .76 C) .16 D) .10 Use the following to answer questions 14 - 15: On August 8, 2012, the national average price for a gallon of regular unleaded gasoline was $3.83. The prices for a random sample of n = 10 gas stations in the state of Illinois were recorded at that time. The mean price for the sampled gas stations was $3.975, with standard deviation $0.2728. A boxplot of the data is provided. 14. Is it reasonable to use the t-distribution to perform a test about the average gas price in Illinois (on August 8, 2012)? True or False. 15. Test, at the 5% level, if there is evidence that the average gas price in Illinois (on August 8, 2012) was significantly higher than the national average. True or False. Use the following to answer question 16: As part of a course project, a statistics student surveyed random samples of 40 student athletes and 40 student non-athletes at his university, with the goal of comparing the heights of the two groups. His summary statistics are displayed in the provided table. n s Athletes 40 64.95 4.15 Non-athletes 40 62.23 3.56 16. Construct a 99% confidence interval for the difference in mean heights between student athletes and non-athletes at this university. Use two decimal places in your margin of error. A) (-.32 to 3.67) B) (.32 to 3.67) C) (0 to 4.67) D) (.44 to 5.00) Use the following to answer questions 17 and 18: In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?" The results are summarized in the provided table. Response Count "Great deal" of confidence 72 "Fair amount" of confidence 315 "Not very much" confidence 320 "No confidence at all" 250 We are interested in testing whether or not the four responses are equally likely. 17.Is a chi-square test appropriate in this situation? True or False. 18 .Test, at the 5% level, if there is evidence that the four opinions are not all equally likely. True or False. 19. Use this dataset to compute the IQR of the following summary statistics. 2 26 16 10 7 20 17 A) 13 B) 15 C) 10 D) 16 Note: please provide details answer on how you did solve each problem. x