Jennifer Nguyen, Ola Abiola, and Parul Jaiswal are degree students from the Humber Fashion Management program. They have been hired by Shoe Global Design Inc. to help creating a new generation of shoes that would be Shippers Flip flops LLLL popular among young North American females and would have the potential to thigh high Knee high Wellington boots booty Ugg boots Timberland Snow boots Lita Moen boots boots whenker's capture a large market share. One of the questions that the girls have to analyze is the distribution of shoe sizes of potential Oxford Brogues Monks Loafers Moccasins Boat shoes Mary Janes Ballerina flat buyers. Humber College has about 35,000 full time students; two thirds of Crocs Slip on Espadrille ingbacks Kitten HI Pintform them are young females. Girls selected a random sample of female students who Clackator boots T-straps Ankle straps Mules D'orsay agreed to provide their measurements. A shoe size is an indication of the fitting size of a shoe for a person. There is a number of different shoe- size systems used worldwide. Usually, the main parameter is the length of a person's foot commonly defined as the distance between two parallel lines that are perpendicular to the foot and in contact with the most prominent toe and the most prominent part of the heel. In USA and Canada the following table is used. Foot length Women's shoe sizes (mm) (US/Canada) 220.1 5 224.4 5.5 228.6 6 232.8 6.5 237.1 7 241.3 7.5 245.5 8 249.8 8.5 254.0 9 258.2 9.5 262.5 10 266.7 10.5 270.9 11 275.2 11.5 279.4 12 283.6 12.5 287.9 13 292.1 13.5 296.3 14Girls agree that the shoe model under consideration is such that if the buyer's foot length falls between two table values, the larger number should be considered. Say, for a lady with the measurement 260 mm, which falls between 258.2 (size 9.5) and 262.5 (size 10), most likely size 10 would be appropriate. The main question regarding the distribution is whether it is symmetric and bell-shaped. If so, then the classical methods based on 2 (Normal) or t (Student) distribution can be used for statistical market analysis. Ifthe distribution is skewed or not unimodal, the different statistical tools should be applied. To answer this question girls selected a random sample of 120 Humber female students (see Assignment 1 Data le). Problem 1. Construct a histogram of foot lengths using the table numbers as bin values. Construct the frequency table and ogive. Use Assignment 1 Data le. Is the distribution symmetric and bell-shaped? What is the most common shoe size of young Canadian females? One more important issue that girls helped to analyze is shoe colour. A separate survey was conducted through the social network and the female respondents were asked to indicate their preferred summer shoe colour. The survey resulted in the following table. Shoe Colour Percent black 1 blue 13 brown 6 green 5 orange 8 purple 10 red 27 white 2 1 yellow 9 Problem 2. Construct a pie chart representing the distribution of shoe colours. Make sure you label the slices and colour them ' '3', correspondingly. Use Assignment l Data le. Shoe Global Design Inc. is a rapidly developing company with a number of stores across the GTA. The following table represents 2020 sales of the main GTA stores in $thousands. Store location 2020 sales Downtown 1863 Etobicoke North 332 North York 619 Etobicoke South 717 Scarborough 298 Mississauga 559 Richmond Hill 446 VAUGHAN . Magle Problem 3. Construct a bar graph representing 2020 sales of Shoe Global Design Inc. store by store. Do not forget about bar TORONTO labels and axis titles. Use Assignment 1 Data file. EAST WEST TORONTO TORONTO HARDWARE WOMEN'S HEAVEN SHOES HELL