Dragon boat racing is a competitive water sport that involves 20 paddlers propelling a boat across various race distances. A study on elite dragon boat paddlers summarized an extensive statistical analysis of data obtained from a sample of 11 paddlers. It reported that a 95% confidence interval for true average force (N) during a simulated 200-m race was [60.2, 70.6]. Assume the paddling force is normally distributed. (a) Briefly describe what needs to be done in order to assume "the force is normally distributed".
(b) Obtain a 95% prediction interval for the force of a single randomly selected dragon boat paddler undergoing the simulated race.
(c) Calculate an interval that includes at least 99% of the paddling forces in the popula- tion distribution using a confidence level of 95%.
(d) Calculate a two-sided 99% confidence interval for the population variance of paddling force in the simulated race.
(e) Calculate an upper confidence bound with confidence level 95 % for the population.

Part one: measurements 1. measure your own height and arm span (from finger-tip to finger-tip) in inches. you will likely need some from a parent, guardian, or sibling to get accurate measurements. record your measurements on the "data record" document. use the "data record" to you complete part two of this project. name relationship to student x height in inches y arm span in inches archie dad 72 72 ginelle mom 65 66 sarah sister 64 65 meleah sister 66 3/4 67 rachel sister 53 1/2 53 emily auntie 66 1/2 66 hannah myself 66 1/2 69 part two: representation of data with plots 1. using graphing software of your choice, create a scatter plot of your data. predict the line of best fit, and sketch it on your graph. part three: the line of best fit include your scatter plot and the answers to the following questions in your word processing document 1. 1. which variable did you plot on the x-axis, and which variable did you plot on the y-axis? explain why you assigned the variables in that way. 2. write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. show all your work, including the points used to determine the slope and how the equation was determined. 3. what does the slope of the line represent within the context of your graph? what does the y-intercept represent? 5. use the line of best fit to you to describe the data correlation.

Don't know how to find x given these segment lengths

From the top of a tree a bird looks down on a field mouse at an angle of depression of 50°. if the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird's eyes.