3 + 2 = 5
5 + 4 = 9
9 + 68 = 77
77 + 6974 = 7051
7051 + 87643 = 94694
94694 + 8654 = 103348
        
             
        
        
        
<h2><u>
Answer with explanation</u>
:</h2>
Let  be the distance traveled by deluxe tire .
 be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since  is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
 is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic : 
where, n= sample size
 = sample mean
= sample mean
 = Population mean
= Population mean
 =sample standard deviation
=sample standard deviation
For  , we have
, we have

By using z-value table, 
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
  Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.
 
        
        
        
The expression 3P2 can also be read as "permutation of 3 taken 2". This represents the number of ways in which the 3 items are arranged with the emphasis on the arrangement of the first two other items.