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Sagot :
At the significance level, 0.01
p-Value=0.973 > 0.01 which implies fail to reject null hypothesis and no evidence to support the claim.
So, there is no reason to believe that this increase in substrate concentration causes an increase in the mean velocity of the reaction of more than 0.5 micromole per 30 minutes.
We have given that,
A study conducted to see if increasing the substrate concentration has an appreciable effect on the velocity of a chemical reaction.
x₁-bar = 8.8 micromoles
Standaard deviations, s₁= 1.2
x₂-bar = 7.5 ; s₂ = 1.5
n₁ = 12 ; n₂ = 15
significance level = 0.01
Consider the Null hypothesis and alternative hypothesis othesis
H₀ : μ = 0.5
Hₐ : μ > 0.5
Consider,
Pooled Standard Deviation = √(((n₁ - 1)s₁² + (n₂- 1)s₂²)/(n₁ + n₂-2))
plugging all known values
= sqrt(((12-1)(1.2²) + (15 -1)(1.5²))/(12+15-2))
Sp = 1.3761
Now , test statistic :
t =((x₁-bar - x₂-bar) - 0.5) / (Sp×√(1/n₁+ 1/n₂))
substitute all known values we get,
= ((8.8 - 7.5) - 0.5) / (1.3761× sqrt(1/12 + 1/15))
=> t = 1.5
Degree of freedom = n₁+ n₂ - 2
= 12 + 15 - 2
= 25
Now the p-value corresponding to t = 1.5 & df = 25 is 0.073
Here p-value > 0.01 (significance level) thus, we fail to reject null hypothesis.
So there is no enough evidence to support the claim.
To learn more about Hypothesis testing, refer:
https://brainly.com/question/4232174
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