Homework 1 Directions Write a report of your answers on separate sheets of paper taking care to prepare a legible and organized report Put your name on your report Answer questions in order and underline or draw a box around any final numerical answers Show your work for all answers and include the company name you obtained the data from Full credit will not be given to answers without work and partial credit may be given when work is shown Write any written answers or explanations clearly and be as neat as possible You will have to submit your assignment on Canvas as a pdf file single file please You can embed pictures of your homework in a Word file and save it as pdf Pro tip use a scanning app such as CamScanner It s free and it will produce quality pdf files Notes on iPhones also a allows you to scan documents and save to pdf 1 The number of courtship calls that male purple dart poison frogs make during the afternoon was counted for 30 individuals One individual didn t produce calls at all and 1 individual produced a maximum of 8 calls The number of calls produced by every individual observed is shown in the following table 7 7 5 6 3 0 4 5 3 5 2 1 5 2 4 3 6 5 6 3 4 6 4 7 5 8 4 6 6 5 Prepare a table of frequencies follow the format of table 1 2 in the book and a graph of the frequency distribution for these data Describe the shape of the frequency distribution of the graph using appropriate statistical terminology discussed in class 2 Blood glucose levels were measured in millimoles per liter for ten biology students Calculate the average prepare a table of deviations and squared deviations and calculate the standard deviation for the following data 13 8 14 0 15 1 12 3 13 7 12 5 14 4 15 5 15 3 16 1 3 Yahoo com maintains historical stock price data for a large number of companies For the problem below you will work with some of these stock price data which can be obtained from https finance yahoo com lookup Follow the link to the website and use the search box to select a company As soon as you start typing into this box a list of companies that have the letters you enter in their company name or ticker symbol will appear You can select whichever company you want to work with but make sure a there is stock price variation on a daily basis the more variation the better b there is not a whole lot of missing data c you are not using a company that you know was already chosen by someone else in the class Once you have selected your company use the historical data option and select the following date range December 1 2021 for the Start date and December 31 2021 for the End date Use the numbers from the column listing the Close data not Adj Close From these numbers compute the five number summary of the data and construct a box plot following the format in the book as discussed in class Write down on your homework the name of the company you select 4 Researchers are interested in whether wearing seat belts protects against fatal injury in automobile accidents They compiled the following data from all people involved in automobile accidents in the state of Florida No Seat Belt Seat Belt Fatal 1 563 564 Not Fatal 161 220 412 482 Using these data calculate a The simple probability that a seat belt is not worn b The simple probability that a fatal injury occurs c The probability that both a fatal injury occurs and a seat belt is not worn P Fatal injury No Seat Belt d The probability of a fatal injury or that the seat belt was not worn or both P Fatal injury U No Seat Belt e The conditional probability that a fatal injury occurs given that a seat belt was not worn f Is the event of having a fatal injury independent of not wearing a seat belt show your work Note we are assuming that the dataset is population level data