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##### stats problems with solution fall 2014

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Question;Chapter;10;Two-Sample Hypothesis;Tests;1);Discover Card would like to test the hypothesis that the average credit score;for an adult in Dallas is different from the average credit score for an adult;in Houston. A random sample of 40 adults in Dallas had an average credit score;of 699 and a random sample of 35 adults in Houston had an average credit score;of 682. It is believed that the population standard deviation for credit scores;is 44 and 41 for Dallas and Houston residents, respectively. Discover Card;would like to set? = 0.05. Define Population 1 as Dallas and Population;2 as Houston and use the critical value approach to test this hypothesis.;2);Auto Trader Group (ATG) would like to test the hypothesis that the average age;of an imported car on the road is greater than the average age of a domestic;car. The following data shows the sample size and the average age of cars for;import and domestic cars along with the population standard deviations.;Domestic;Import;Sample mean;9.4 years;10.8 years;Sample size;33;36;Population standard deviation;3.2 years;2.8 years;Define;Population 1 as import cars and Population 2 as domestic cars. Construct a 90%;confidence interval for the difference in population mean and interpret the;results.;3);Farmers Insurance Group would like to test the hypothesis that the average;number of miles driven per month by a male driver exceeds the average number of;miles driven per month by a female driver by more than 50 miles. The following;data summarizes the sample statistics for the miles driven per month by each;gender. Assume that the population variances are equal.;Male;Female;Sample mean;685;580;Sample size;13;16;Sample standard deviation;130;120;Define;Population 1 as male drivers and Population 2 as female drivers and use the;critical value approach to test this hypothesis with? = 0.05.;4);Holiday Inn Express has developed a training program for its hotel staff in an;effort to increase customer satisfaction. The employees at the Philadelphia;Midtown location completed the training while the employees at the Philadelphia;E Penns Landing location did not. Holiday Inn Express would like to test the;hypothesis that the average customer satisfaction score at the Midtown location;is higher than the average satisfaction score at the E Penns Landing location.;The following data summarizes the sample statistics for customer satisfaction;on a scale of 1 to 100, for each location. Assume that the population variances;are unequal.;Midtown;E Penns Landing;Sample mean;82.6;78.3;Sample size;25;20;Sample standard deviation;5.0;6.0;Define;Population 1 as the Midtown location and Population 2 as E Penns Landing;location and use the critical value approach to test this hypothesis with?;= 0.01.

Paper#61420 | Written in 18-Jul-2015

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