Randomly selected 11 student cars have ages with a mean of 7.2 years and a standard deviation of 3.4 years, randomly selected 27 faculty cars have ages with a mean of 6 years and a standard deviation of 3.5 years. 1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars. (a) The test statistic is (b) The critical value is (c) Is there sufficient evidence to support the claim that student cars are older than faculty cars? OA. No OB. Yes 2. Construct a 99% confidence interval estimate of the difference u, - H, where u, is the mean age of student cars and Hr is the mean age of faculty cars. < (Hs - Hs) <

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**Educational Website Text Transcription**

Randomly selected 11 student cars have ages with a mean of 7.2 years and a standard deviation of 3.4 years, randomly selected 27 faculty cars have ages with a mean of 6 years and a standard deviation of 3.5 years.

1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars.

   (a) The test statistic is: _______

   (b) The critical value is: _______

   (c) Is there sufficient evidence to support the claim that student cars are older than faculty cars?
   
   - A. No
   - B. Yes

2. Construct a 99% confidence interval estimate of the difference \( \mu_s - \mu_f \), where \( \mu_s \) is the mean age of student cars and \( \mu_f \) is the mean age of faculty cars.

   _______ < \( \mu_s - \mu_f \) < _______
Transcribed Image Text:**Educational Website Text Transcription** Randomly selected 11 student cars have ages with a mean of 7.2 years and a standard deviation of 3.4 years, randomly selected 27 faculty cars have ages with a mean of 6 years and a standard deviation of 3.5 years. 1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars. (a) The test statistic is: _______ (b) The critical value is: _______ (c) Is there sufficient evidence to support the claim that student cars are older than faculty cars? - A. No - B. Yes 2. Construct a 99% confidence interval estimate of the difference \( \mu_s - \mu_f \), where \( \mu_s \) is the mean age of student cars and \( \mu_f \) is the mean age of faculty cars. _______ < \( \mu_s - \mu_f \) < _______
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