Researchers measured the amount of plasma carotenoids (in micrograms per milliliter) of male and female zebra finches. Here are the summary statistics from the study:
$\begin{array} { | l | l | l | l | } \hline \text { Sex } & \boldsymbol { n } & \text { Mean } & \text { Standard Error } \\\hline \text { Males } & 50 & 31.77 & 1.85 \\\hline \text { Females } & 52 & 29.74 & 2.02 \\\hline\end{array}$ Do male and female zebra finches differ in their plasma carotenoid levels? To answer this question, the researchers tested the following hypotheses:
?
H₀: ?_M=?_F versus ?_M??_F
What is the P-value for the test?

Question

Researchers measured the amount of plasma carotenoids (in micrograms per milliliter) of male and female zebra finches. Here are the summary statistics from the study:

\begin{array} { | l | l | l | l | } \hline \text { Sex } & \boldsymbol { n } & \text { Mean } & \text { Standard Error } \\\hline \text { Males } & 50 & 31.77 & 1.85 \\\hline \text { Females } & 52 & 29.74 & 2.02 \\\hline\end{array}

Do male and female zebra finches differ in their plasma carotenoid levels? To answer this question, the researchers tested the following hypotheses:
?
H₀: ?_M=?_F versus ?_M??_F
What is the P-value for the test?

Quizplus · Accepted Answer

The null hypothesis states that the mean plasma carotenoid levels are equal between male and female zebra finches. Without conducting the actual statistical test (e.g., a t-test) and given only the summary statistics, we cannot precisely calculate the P-value. However, the difference in means (31.77 - 29.74 = 2.03) relative to the standard errors suggests that while there might be a difference, without knowing the exact distribution and variance within each group, we can't definitively say the difference is statistically significant. The choice of "Greater than 0.10" reflects a conservative stance in the absence of specific test results, implying that the evidence might not be strong enough to reject the null hypothesis at common significance levels (e.g., 0.05).

Researchers Measured the Amount of Plasma Carotenoids (In Micrograms Per