What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95
1 answer:
Answer: 12
Step-by-step explanation:
The formula to find the sample size is given by:-
, where
is the population standard deviation,
is the z-value for the
confidence interval and E is the margin of error .
As per given , we have
Population standard deviation :
z-value for 95% confidence interval :
Margin of error : E= 3
Then, the required minimum sample :-
Hence, the required minimum sample size = 12
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1. We need to get rid of those pesky parentheses. We do this by distributing the 3.
2. We need to get "n" by itself, so we add 9 to both sides.
3. Add like terms.
4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.
5. We divide, and the negatives cancel.
I wrote the answer both ways so that I could tell what the number line needed to look like.
2. We need to get "n" by itself, so we add 9 to both sides.
3. Add like terms.
4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.
5. We divide, and the negatives cancel.
I wrote the answer both ways so that I could tell what the number line needed to look like.