it has long been believed that the average length of an adult bass in a certain

Question

it has long been believed that the average length of an adult bass in a certain lake is 14 inches. a 2-year program was conducted, introducing panfish and building up underwater weed beds in the lake, in the hope of increasing the average adult bass length in the population. after the 2-year program, 12 adult bass were randomly sampled. the lengths are given as follows:

14.2, 15.0, 14.3, 14.6, 13.9, 13.7, 14.2, 14.6, 14.4, 15.1, 13.5, 14.5

Did the average adult bass length increase significantly? Was the 2 year program a success? (answer in accordance with one sample t-test for mean)

Using your calculator, determine a confidence interval of the mean weight of bass at the 90% confidence interval.

Explanation / Answer

Following table shows the mean and SD of the data :

Following is the output of confidence interval genearted by excel:

Lower limit: 14.08

Upper limit: 14.58

Since confidence interval does not 14 so we can conclude that the 2 year program was a success.

X 14.2 15 14.3 14.6 13.9 13.7 14.2 14.6 14.4 15.1 13.5 14.5 Mean 14.33333 SD 0.479267 n 12

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