A group of students go to a lake that you fished in, and caught 28 adult striped bass fish. The mean for the sample of fish that they caught was approximately x̅=25.3 pounds with a sample standard deviation s=7 pounds. Compute a 95% confidence interval for the population mean "μ" of adult striped bass for that lake.
A group of students go to a lake that you fished in, and caught 28 adult striped bass fish. The
Obtain the 95% confidence interval for the population mean of adult striped bass for that lake.
The 95% confidence interval for the population mean of adult striped bass for that lake is obtained below:
The formula for the Confidence interval for mean is:
Obtain the degrees of freedom.
From the information, given that there is a sample of 28 fishes.
The degrees of freedom is obtained below:
Use EXCEL Procedure for finding the critical value of t.
Follow the instruction to obtain the critical value of t:
- Open EXCEL
- Go to Formula bar.
- In formula bar enter the function as“=TINV”
- Enter the probability as 0.05.
- Enter the degrees of freedom as 27.
- Click Enter.
EXCEL output:
From the EXCEL output, the critical value of t at the 0.05 level of significance with the 27 degrees of freedom is 2.0518 .
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