Answer:
The Decision Rule
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi
Step-by-step explanation:
From the question we are told that
The data is
Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8
Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4
The level of significance
Generally the null hypothesis is
the alternative hypothesis is
Generally the sample mean for the age of cars is mathematically represented as
=>
=>
Generally the standard deviation of age of cars
=>
=>
Generally the sample mean for the age of taxi is mathematically represented as
=>
=>
Generally the standard deviation of age of taxi
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
From the t distribution table the at the obtained degree of freedom = 45 is
So the p-value is
From the obtained values we see that the p-value > hence we fail to reject the null hypothesis
Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi