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=
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b=
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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

a = 21.87
b = 22.12