Answer:
95% Confidence interval: (24.24 ,27.76)
The population mean 28 weeks is not reasonable.
Step-by-step explanation:
We are given the following in the question:
Sample mean = 26
Sample size, n = 50
Alpha, α = 0.05
Sample standard deviation, s = 6.2
95% Confidence interval:
Putting the values, we get,
No, it is not reasonable that population mean is 28 weeks because it does not lie in the confidence interval calculated.