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Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the popula normally distributed. c=0.95, x ˉ =13.4,s=4.0,n=9

User Beka
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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).

Construct the indicated confidence interval for the population mean μ using the t-example-1
User Joseph Race
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