A random sample is drawn from a normally distributed population of known standard deviation 5. Construct a 99.8% confidence interval for the population mean based on the information given (not all of the information given need be used).
a. n = 16, 𝑥̅= 98, 𝑠 = 5.6
b. n = 9, 𝑥̅= 98, 𝑠 = 5.6
1. The critical value for
The corresponding confidence interval is computed as shown below:
Therefore, based on the data provided, the 95 confidence interval for the population mean is which indicates that we are 99.8% confident that the true population mean is contained by the interval
2. The critical value for
The corresponding confidence interval is computed as shown below:
Therefore, based on the data provided, the 95 confidence interval for the population mean is which indicates that we are 99.8% confident that the true population mean is contained by the interval
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