The 95 percent confidence interval for the mean (μ) is (31.19, 34.41).
What is standard deviation?
A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.
Given: A random sample of size 30 from a normal population yields a sample mean of 32.8.
The population standard deviation is known to be 4.51.
X bar = 32.8
s = 4.51
We have to construct a 95 percent confidence interval for the mean (μ).
So, the interval is,
32.8 ± 1.96 (4.51 / √30) = 31.19 to 34.41
Hence, the 95 percent confidence interval is, (31.19, 34.41).
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