No, the serum is not effective because the p-value for the hypothesis test is greater than the level of significance, and the null hypothesis that the means of the two populations are equal is not rejected.
We are given the hypothesis as:
H₀: μ₁ − μ₂ = 0
H₁: μ₁ − μ₂ ≠ 0 where,
H₀ = the null hypothesis,
H₁ = the alternative hypothesis.
Calculate the test statistic. The equation is:
t = x₁ - x₂ / √pooled variance(1/n₁ + 1/n₂)
Substituting the values, we get that:
t = 2.86 - 2.075 / 2.81(1/5 + 1/4) = 0.699
We need to find the value of 0.699 from the t lookup table and the two-tailed probability is 0.5071.
Therefore, No, the serum is not effective because the p-value for the hypothesis test is greater than the level of significance, and the null hypothesis that the means of the two populations are equal is not rejected.
Know more about “hypothesis” here: brainly.com/question/11555274
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