SOLUTION: If you solve the question below, I'll be appreciated.
The level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.9 grams per mile and standar
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Question 1205518: If you solve the question below, I'll be appreciated.
The level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.9 grams per mile and standard deviation 0.2 grams per mile .
(a) What sample size is needed so that the standard deviation of the sampling distribution is 0.01 grams per mile ?
ANSWER: ?
(b) If a smaller sample is considered, the standard deviation for \bar x would be ? . (NOTE: Enter ''SMALLER'',''LARGER'' or ''THE SAME'' without the quotes.)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Using the formula for the standard deviation of a sampling distribution,
desired standard error=
standard error = standard deviation of sampling distribution
where is the population standard deviation, and is sample size
given that mean is , standard deviation , , and we need to find
(a) What sample size is needed so that the standard deviation of the sampling distribution is 0.01 grams per mile ?
so, you would need a sample size of to ensure the standard deviation of the sampling distribution is grams per mile
(b) If a smaller sample is considered, the standard deviation for would be ?
=> THE SAME
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