On April 15 th , 1912, the R M S Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first , second , and third class Find the proportion of survivors by type of service (crew, first, second, third) Test the hypothesis at the 95 confidence level that the proportion of first class survivors is the same as the proportion of third class survivors What do you calculate for the test statistic What is the critical statistic What is the conclusion of your hypothesis test Class Passengers Survived Crew 885 212 First 325 202 Second 285 118 Third 706 178 Total 2201 710 Hypothesis Testing and Errors (5 points) Sample Size ( 10 points) You work in the leasing office of GE capital and wish to predict the average mileage driven of your leased cars within a margin of error of 100 miles (you need this for your company's financial disclosures) Suppose your average customer drives 10,000 miles a year, and your guess for the standard deviation is about 500 miles How big of a sample size do you need to generate a 95 confidence interval with a mean of 10,000 miles a year with a margin of error of 100 miles

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On April 15 th , 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and

On April 15^th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 95% confidence level that the proportion of first-class survivors is the same as the proportion of third-class survivors. What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test?

Class	Passengers	Survived
Crew	885	212
First	325	202
Second	285	118
Third	706	178
Total	2201	710

Hypothesis Testing and Errors (5 points)

Sample Size (10 points)

You work in the leasing office of GE capital and wish to predict the average mileage driven of your leased cars within a margin of error of 100 miles (you need this for your company's financial disclosures). Suppose your average customer drives 10,000 miles a year, and your guess for the standard deviation is about 500 miles. How big of a sample size do you need to generate a 95% confidence interval with a mean of 10,000 miles a year with a margin of error of 100 miles?