Answer:
The indicated confidence interval for the population mean μ is (10.39, 16.41).
Step-by-step explanation:
To construct a confidence interval for a population mean using the t-distribution, we can use the formula: (X ± t*(s/√n)), where X is the sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value from the t-distribution table for the given confidence level and degrees of freedom.
In this case, c=0.95, X=13.4, s=4.0, and n=9.
Based on the sample size (n=9), the degrees of freedom is 9-1=8.
Looking up the critical value for a 95% confidence level with 8 degrees of freedom, we find t=2.31.
Plugging in the values, the confidence interval is (13.4 ± 2.31*(4.0/√9)) = (13.4 ± 3.01).
Therefore, the indicated confidence interval for the population mean μ is (10.39, 16.41).