Question

questions E & L please!

MA336 Final writing Project (Due 05/15/2019) Please write a 10 pages' statistical report how to study the length of sharks. You and use internet or other resources to obtain additional information. The basic information is given below: Great white are big and hungry. Here are the lengths in feet of the following great whites: 18.7 12.3 18.6 15.7 18.3 14.6 15.8 14.9 17.6 12.1 16.4 16.7 17.8 16.2 12.6 17.8 13.8 12.2 15.2 14.7 12.4 13.2 15.8 14.3 16.6 9.4 182 13.2 13 6 İ5.3 16.1 135 19.1 16.2 22.8 16.8 13.6 15.3 16.1 13.5 19.1 16.2 22.8 16.8 13.6 13.2 15.7 19.7 18.7 13.2 16.8 Your report must include, but not limited to the following points. (a) Make a frequency distribution of the data set using eight classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies. (b) Display the data using a frequency histogram and a frequency polygon on the same axes. (c) Describe the distribution's shape as symmetric, uniform, or skewed. (d) Display the data using a stem-and-leaf plot. Use one line per stem. (e) Display the data using an ogive. (f) Find the mean, median, and mode of the sample data set. (g) Find the range, variance, and standard deviation of the data set. (h) Find the coefficient of variation. (i) Examine these data for shape, center, spread, and outliers. The distributiorn is reasonably Normal except for one outlier in each direction. Because these are not extreme and preserve the symmetry of the distribution, use of the t procedures is safe with observations. (i) Display the data using a box-and-whisker plot (k) Give a 95% confidence interval for the mean length of great white sharks. level to reject the Based on this interval, is there significant evidenc claim: Great white sharks average 20 feet in length? (1) It isn't clear exactly what parameter p you estimated in (k). What information do you need to say what u is?

Answer 1

E.

Class boundary Frequency 9.2-11 11-12.8 12.8-14.6 14.6-16.4 16.4-18.2 18.2-20 20-21.8 21.8-23.6 Cumulative Frequency Maximums Minimum Range- Width No. of classes 22.8 9.4 13.4 1.8 18 12 50 42 49 51 30 20 10 9.2-11 11-128 12.8-14.6 14.6-16.4 164-18.218 20-21.8 218-23.6 Class boundary

(i)

μ is true mean length of great white sharks. In (k) we estimate unknown μ by using interval estimation. For point estimation, we need x = sample mean = 15.7412