The confidence interval is (63.909, 64.0907).
The confidence interval of a population mean is found using the formula:
CI = x ± z(σ/√n), where CI is the confidence interval, x is the mean, z is the z-score corresponding to the confidence level, σ is the standard deviation, and n is the population size.
In the question, we are given the confidence level, c = 95%.
Z-score corresponding to this, z = 1.96.
The mean of the population, x = 6.4.
The standard deviation of the population, σ = 0.3.
The population size, n = 42.
Thus, using the formula, the confidence interval is:
CI = 6.4 ± 1.96(0.3/√42),
or, CI = 6.4 ± 0.09073037.
Thus, the confidence interval is (64 - 0.09073037, 64 + 0.09073037), or, (63.909, 64.0907).
Learn more about the confidence interval at
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