Answer:
e. -2.6291.
Explanation:
from the information available in this question,
mean x₁ = 0.12
mean x₂ = 0.30
n₁ = 24
n₂ = 30
n1 = 24 < 30
n₂ = 30 <= 30
therefore we would be solving this using the t test.
we have
[tex]t =\frac{x_{1-x_{2} } }{s} *\sqrt{\frac{n1n2}{n1+n2} }[/tex]
inserting values whe have:
[tex]t=\frac{0.12-0.30}{0.25} *\sqrt{\frac{24*30}{24+30} }[/tex]
[tex]t = -0.72 *\sqrt{13.33333}[/tex]
[tex]t=-0.72*3.6514836[/tex]
[tex]t=-2.629067947[/tex]
this is approximately
[tex]-2.6291[/tex]
therefore option e answers this question.