Question

(1 point) Randomly selected 20 student cars (population 1) have ages with a mean of 7.8 years and a standard deviation of 3.4 years, while randomly selected 22 faculty cars (population 2) have ages with a mean of 5.2 years and a standard deviation of 3.5 years. (For the purposes of this exercise, the two populations are assumed to be normally distributed.) 1. Use a 0.04 significance level to test the claim that student cars are older than faculty cars. The test statistic is The P-value (using the approximate number of degrees of freedom) is Is there sufficient evidence to support the claim that student cars are older than faculty cars? OA. Yes O B. No 2. Construct a 96% confidence interval estimate of the difference μι approximate value for the number of degrees of freedom.) μ2 where 11 s the mean age of student cars and μ2 is the mean age of fa cult cars set e

Answer 1

1. H0: The student cards are not older than faculty cars
H1: The student cards are older than faculty cars
Let the los be alpha = 4%

P-Value: 0.0193

Here P-value < alpha 0.04 so we reject H0

Thus we conclude that The student cards are older than faculty cars

Answer: Yes

b)