Random samples of of outh bass and smallmouth bass were taken from a lake, and their lengths in millimeters) were deter mined. We wish to know if the mean standard length differs between the two species in this lake. The results were as follows: Largemouth Bass Smallmouth Bass
x 164.8 272.8
s 96.4 40.0
n 97 125

Hence , the means of Largemouth Bass and Smallmouth Bass are significantly different.

Step-by-step expl;anation:

From the question we are told that:

Largemouth Bass:

Smallmouth Bass:

Assume

Generally The hypothesis is given as

H_0: The Largemouth Bass and Smallmouth Bass are equal  

H_1: The Largemouth Bass and Smallmouth Bass are  not equal

Generally the equation for Test statistics is mathematically given by

Therefore

From table

Critical Value

Conclude

Since 11.33 is greater that 1.661 we eject the null hypothesis that the means are the same.

Hence , the means of Largemouth Bass and Smallmouth Bass are significantly different.

step-by-step explanation: