Calculate the lower confidence limit (LCL) and upper confidence limit (UCL) of the mean for each of the following.a. x =265,
n=459, σ=50, and α=0.01b. x=180, n=308, σ2equals=100, and α=0.05LCLequals=(Round to two decimal places as needed.)UCLequals=(Round to two decimal places as needed.)b.LCLequals=(Round to two decimal places as needed.)UCLequals=(Round to two decimal places as needed.)
1 answer:
Answer:
a: 258.09
b: 178.88
Step-by-step explanation:
For a: Since n > 30, we use a z-value that corresponds to 0.01, or 99% confidence. This z-value is: 2.575
We have:
x = 265, n = 459, σ = 50. See the calculation for the error and the construction of the confidence interval on the first attached photo
For b: Since n > 30, we use a z-value that corresponds to 0.05, or 95% confidence. This z-value is: 1.96
x = 180, n = 308, σ = 10 (it gives σ² = 100. so σ = 10). See the calculation for the error and the construction of the confidence interval on the second attached photo
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