Answer:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Step-by-step explanation:
Notation
 represent the mean for male king penguins
 represent the mean for male king penguins
 represent the mean for the female king penguins
 represent the mean for the female king penguins
 represent the sample standard deviation for the sample male
 represent the sample standard deviation for the sample male
 represent the sample standard deviation for the sample female
 represent the sample standard deviation for the sample female
 sample size for the male penguins
 sample size for the male penguins
 sample size for the female penguins
 sample size for the female penguins
t would represent the statistic 
Hypothesis
We need to conduct a hypothesis in order to check if the male king penguins weigh more than female king penguins, the system of hypothesis would be:
Null hypothesis: 
Alternative hypothesis: 
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t