Respuesta :
The most appropriate statistical conclusion is that this year fisher are catching smaller than usual largemouth bass.
According to the question,
It is given that adult largemouth bass in silver lake follows normal distribution
The average length : u = 12.3 inches
Standard deviation : σ = 3 inches
Researchers drawn a sample
Sample size : n = 100
Sample mean : [tex]\bar{x}[/tex] = 11.2 inches
Under H0 : u = 12.3 inches
Under Ha : u < 12.3 inches
The test is one-tailed z-test
Z-test formula = [tex]\frac{ \bar{x} - u }{\frac{\sigma}{\sqrt{n}}}[/tex]
Substituting the value,
=> z = ( 11.2 - 12.3 ) / 3/√100
=> z = -1.1 × 10 / 3
=> z = -11/3
=> z = -3.66
At 95% confidence level ,
Tabulated value of z is -1.64 which is lesser than calculated value
Therefore, We will reject null hypothesis that average size is smaller than
Hence, The conclusion about this testing is that this year they are catching smaller than usual largemouth bass.
To know more about Z-test here
https://brainly.com/question/21166113
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