I need the answers for 41.42.43.someone please help this is due tmr.
1 answer:
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ANSWER
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.
Complete Question
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.
Group of answer choices
A I would not be surprised because there are lots of lazy students in Iowa City.
B I would not be surprised because 3% is not that far away from 9%.
C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.
D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size is n = 120
The mean of the proportion is p = 0.09
Generally the standard deviation is mathematically represented as
=>
=>
Generally the chance that fewer than 3% of households in the sample recycle their garbage is mathematically represented as
From the z-table
=> [tex]P(X < 0.03) = 0.01/tex]
=> [tex]P(X < 0.03) = 1\% /tex]