Construct a 95% confidence interval estimate of the population mean immunization to measles percentage. In this question let us assume we know the World’s standard deviation for measles immunization is 10 units. Interpret your results, be specific I just need an explanation and step by step on how to do this problem as the dataset is too large to copy and paste.
Answer
Population standard deviation is given, sigma = 10. So, we will use z critical value.
First of all, look at the formula for confidence interval
Confidence interval =
here xbar is sample mean (you can calculate it from your data set)
z is the critical value corresponding to 95% confidence level, its value is always 1.96 (using z distribution table)
is the population standard deviation, its value is 10 (given in question)
n is the total sample size, you can find it from your data set
So, after setting these values, we get
Confidence interval =
just plug in the value of xbar and n from your data set and you will get the confidence interval
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