Question

A sample of 17 randomly selected student cars have ages with a
mean of 7.8 years and a standard deviation of 3.63 years, while a
sample of 22 randomly selected faculty cars have ages with a mean
of 5.6 years and a standard deviation of 3.3 years.

1. Use a 0.05 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.** Yes

**B.** No

2. Construct a 95% confidence interval estimate of the difference
μs−μf, where μsμs is the mean age of student cars and μf is the
mean age of faculty cars.

? <(μs−μf)< ?

Answer #1

1a)

a) test statsitic =5.5652

b) critical value =1.6883

c) YEs

2)

Point estimate of differnce =x1-x2= | 18.060 | ||

for 95 % CI & 36 df value of t= | 2.028 | ||

margin of error E=t*std error = | 6.5813 | ||

lower bound=mean difference-E= | 11.4784 | ||

Upper bound=mean differnce +E= | 24.6416 |

from above 95% confidence interval for population mean
=(11.4784 ,24.6416) |

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