Question
7. Suppose a sample has a standard deviation of sigma =21.26 and a sample size of n=500. Find the margin of error to the nearest tenth. square
Solution
4.4
(232 Votos)
Karla Maria
Profissional · Tutor por 6 anos
Resposta
To find the margin of error, we need to use the formula:
where:-
is the z-score (for a 95% confidence level,
)-
is the standard deviation-
is the sample sizeGiven:-
-
First, calculate the standard error:
Calculate
:
Now, calculate the standard error:
Next, calculate the margin of error:
Rounding to the nearest tenth:
Therefore, the margin of error to the nearest tenth is
.