(1 point) Randomly selected 2020 student cars (population 1) have ages with a mean of 7.97.9...

(1 point) Randomly selected 2020 student cars (population 1) have ages with a mean of 7.97.9 years and a standard deviation of 3.63.6 years, while randomly selected 2222 faculty cars (population 2) have ages with a mean of 5.55.5 years and a standard deviation of 3.53.5 years. (For the purposes of this exercise, the two populations are assumed to be normally distributed.)

1. Use a 0.010.01 significance level to test the claim that student cars are older than faculty cars.
The test statistic is
The P-value (using the n1+n2-2 degrees-of-freedom) is
Is there sufficient evidence to support the claim that student cars are older than faculty cars?

A. Yes
B. No

2. Construct a 9999% confidence interval estimate of the difference μ1−μ2μ1−μ2, where μ1μ1 is the mean age of student cars and μ2μ2 is the mean age of faculty cars. (Use the using the n1+n2-2 degrees-of-freedom formula). <(μ1−μ2)<<(μ1−μ2)<

Expert Solution

orchestra answered 2 years ago

Randomly selected 8080 student cars have ages with a mean of 88 years and a standard...

Randomly selected 8080 student cars have ages with a mean of 88 years and a standard deviation of 3.6 years, while randomly selected 9595 faculty cars have ages with a mean of 5.4 years and a standard deviation of 3.7 years. 1. Use a 0.03 significance level to test the claim that student cars are older than faculty cars. The test statistic is The critical value is Is there sufficient evidence to support the claim that student cars are older than...

Randomly selected 2929 student cars have ages with a mean of 77 years and a standard...

Randomly selected 2929 student cars have ages with a mean of 77 years and a standard deviation of 3.43.4 years, while randomly selected 1515 faculty cars have ages with a mean of 5.95.9 years and a standard deviation of 3.73.7 years. 1. Use a 0.010.01 significance level to test the claim that student cars are older than faculty cars. (a) The null hypothesis is H0:μs=μfH0:μs=μf. What is the alternate hypothesis? A. HA:μs<μfHA:μs<μf B. HA:μs≠μfHA:μs≠μf C. HA:μs>μfHA:μs>μf (b) The test statistic...

Randomly selected 140 student cars have ages with a mean of 7.5 years and a standard...

Randomly selected 140 student cars have ages with a mean of 7.5 years and a standard deviation of 3.6 years, while randomly selected 75 faculty cars have ages with a mean of 5.4 years and a standard deviation of 3.5 years. 1. Use a 0.03 significance level to test the claim that student cars are older than faculty cars. The test statistic is The critical value is Is there sufficient evidence to support the claim that student cars are older...

A sample of 21 randomly selected student cars have ages with a mean of 7.5 years...

A sample of 21 randomly selected student cars have ages with a mean of 7.5 years and a standard deviation of 3.4 years, while a sample of 32 randomly selected faculty cars have ages with a mean of 5.5 years and a standard deviation of 2.8 years. First, define student cars as Population 1 and faculty cars as Population 2. Thus we have n1=21, n2=32, x¯1=7.5, x¯2=5.5, s1=3.4, s2=2.8, (a) Based on the study data, is there significant evidence that...

Randomly selected 30 student cars have ages with a mean of 7 years and a standard...

Randomly selected 30 student cars have ages with a mean of 7 years and a standard deviation of 3.6 years, while randomly selected 23 faculty cars have ages with a mean of 5.9 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...

Randomly selected 23 student cars have ages with a mean of 8 years and a standard...

Randomly selected 23 student cars have ages with a mean of 8 years and a standard deviation of 3.6 years, while randomly selected 27 faculty cars have ages with a mean of 5.8years and a standard deviation of 3.7 years. 1. Use a 0.01significance 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...

Randomly selected 24 student cars have ages with a mean of 8 years and a standard...

Randomly selected 24 student cars have ages with a mean of 8 years and a standard deviation of 3.6 years, while randomly selected 30 faculty cars have ages with a mean of 6 years and a standard deviation of 3.3 ears. 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...

A sample of 30 randomly selected student cars have ages with a mean of 7.3 years...

A sample of 30 randomly selected student cars have ages with a mean of 7.3 years and a standard deviation of 3.6 years, while a sample of 19 randomly selected faculty cars have ages with a mean of 5 years and a standard deviation of 3.7 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...

Randomly selected 22 22 student cars have ages with a mean of 7.2 7.2 years and...

Randomly selected 22 22 student cars have ages with a mean of 7.2 7.2 years and a standard deviation of 3.6 3.6 years, while randomly selected 27 27 faculty cars have ages with a mean of 5.1 5.1 years and a standard deviation of 3.5 3.5 years. 1. Use a 0.01 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...

Students at a college randomly selected 217 student cars and found that they had ages with...

Students at a college randomly selected 217 student cars and found that they had ages with a mean of 7.89 years and a standard deviation of 3.67 years. They also randomly selected 152 faculty cars and found that they had ages with a mean of 5399 years and a standard deviation of 3.65 years. a) Using a 0.05 significance level, are student cars older than faculty cars? List: Define the parameters u1 and u2 Null and Alternative Hypothesis P-value Initial...

Question