Question

Assuming we know σ = 5.4, construct a 92.5 percent confidence interval for the true population mean, μ, given that a random sample of 94 values was noted to have z = 80.0. SELECT ALL APPLICABLE A) B) 79.00834 < μ < 80.99166 78.60834< p< 81.39166 C) D) None of These 78.60834 < μ < 80.99166 6

Answer 1

Answer

we know the formula for confidence interval is given as

we are using z because is known and sample size is greater than 30

z critical value for 92.5% confidence level is z = 1.78 (using z distribution table)

we have  

setting the given values, we get

this gives us

So, we can write it as

This is most accurate and matching with option A

So, option A is correct answer