a = 21.87
b = 22.12
CI's via the CLT
The sample mean estimate Θˆ of the mean of a random variable with variance 1, based on 100 samples, happened to be 22. The 80% confidence interval provided by the CLT is of the form [a,b], with:
a=
unanswered
b=
unanswered
Your answers should include at least 2 decimal digits.
[Θˆ − 1.96σ/√n, Θˆ + 1.96σ/√n].
You may want to refer to the normal table (below). For your reference, if we had 95% instead of 80%, the confidence interval would be of the form
[Θˆ − 1.96σ/√n, Θˆ + 1.96σ/√n].
1 answer