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DISPLAYING AND DESCRIBING DISTRIBUTIONS In this lab assignment you will use descriptive and graphical tools in StatCrunch to analyze and interpret data related to the passengers of the British ocean liner Titanic that sank in 1912 after colliding with an iceberg. In particular, you will explore the relationship between age, gender, social status and survival of 1309 passengers. You will learn how to display the related categorical and quantitative data with bar charts, histograms, and boxplots, and how to summarize the data by obtaining frequency tables, contingeney tables, and numerical measures of center and spread. The Titanic Disaster On April 15, 1912, during her maiden voyage, the British ocean liner Titanic, the largest ship afloat at the time, sank in the North Atlantic Ocean after colliding with an iceberg, killing vast majority of 2224 passengers and crew. One of the reasons that the shipwreck led to such loss of life was that there were not enough lifeboats for the passengers and crew In this lab assignment you will use dataset that describes gender, age, passenger class and survival status of 1309 passengers on the Titanic. You will see that some groups of passengers were more likely to have survived than others. The data does not contain information for 885 crew members, but it does contain actual and estimated ages for almost 80% of the passengers. Any passenger under 12 years of age was classified as child This dataset is based on the Titanic Passenger List edited by Michael A. Findlay, originally published in Eaton & Haas (1994) Titanic: Triumph and Tragedy, Patrick Stephens Ltd The data are available in the StatCrunch file labl.xr located on the STAT 151 Laboratories web site at http://www.stat.ualberta.ca/statslabs/statl5 Vindex.htm (click Stat 151 link, and Data for Lab ). The data are not to be printed in your submission. The following is a description of the variables in the data file
Variable Name Description of Variable . full name of the passenger, passenger class, (1-1: 2-2; 3-3); proxy for socio-economic status (SES) 1st- Upper; 2nd Middle; 3rd~Lower survival (0-No; 1-Yes); age (in years); fractional if age is less than 1; gender (female or male); name pclass survived age sex Use the data to answer Questions 1-5.
2. Now you will use a frequency table and a bar chart to describe and display the distribution of survival by What percentage of the passengers of each gender survived the sinking? Obtain the appropriate frequency (b) Obtain a segmented bar chart (stacked bar chart) displaying the proportions of males and females who gender (a) table to answer the question. Paste the table into your report. Comment briefly. survived. Paste the chart into your report. 3. In this question you will examine the relationship between survival and passenger class with contingency tables Make sure that Row percent and Column percent options are checked and Chi-Square option unchecked in each (a) Obtain the contingency table of survival by passenger class (ignore gender and age). Paste the table into (b) Refer to the output in part (a) to answer the following questions: What percent of the survivors were in contingency table dialog box. your report. Which passenger groups were more likely to have survived than others? Explain briefly. third class? What percent of all passengers were third-class passengers who survived? What percent of the third-class passengers survived? (c) Obtain the contingency table of survival and passenger class for adult male passengers and then another years of age). Paste the two tables into your report. Compare the survival rate of adult male passengers with that of women and children , combined. Was the protocol: women and children first, issued during the evacuation effective in saving higher proportion of women and children than adult male passengers? Do the summaries indicate that the survival rate for women and children depended on passenger class? Refer to the tables to answer the two table for women and children combined (children are passengers under 12 questions.
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