<h2><u>
Answer with explanation</u>
:</h2>
Let
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.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For
, 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.
Answer:
5/8
Step-by-step explanation:
1/4 (2/2)=2/8
3/8 (already simplified)
2/8+3/8=5/8
<u>Answer:</u>
cubic feet
<u>Step-by-step explanation:</u>
We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.
For that, we will divide total amount of water by per unit weight of water:
Cubic feet occupied by 180 lb of water =
= 2.88 cubic feet or
cubic feet