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 can we conclude at significance level 5%?

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 can we conclude at significance level 5%?

Quizplus · Accepted Answer

The p-value for the test is 0.23, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that there is no significant difference in plasma carotenoid levels between male and female zebra finches.

Researchers Measured the Amount of Plasma Carotenoids (In Micrograms Per