Answer:
Step-by-step explanation:
First, we can factor all of the following equations to turn that weird, huge looking thing into ÷
×
. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into
×
×
. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into
which is our final answer, as it cannot be simplified further.
Hope this helped! :)
Question:
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.
Answer:
61.03
Step-by-step explanation:
Given:
Standard deviation = 18
Sample estimate = 5
Confidence level = 97%
Required:
Find sample size, n.
First find the Z value. Using zscore table
Z-value at a confidence level of 97% = 2.17
To find the sample size, use the formula below:
Sample size = 61.03