After analysis the carb data below are the finding i found intriguing
To support the recommendation that a minimum shell size limit of at least 145 mm should be imposed for female Dungeness Crabs in fishing regulations, you can perform a t-test to analyze the statistical significance of the difference in molt status between crabs above and below the 145 mm shell size threshold. This will help determine if the majority of crabs above 145 mm indeed did not molt.
Null Hypothesis (H0): There is no significant difference in molt status between female Dungeness Crabs with shell sizes above and below 145 mm.
Alternative Hypothesis (H1): There is a significant difference in molt status between female Dungeness Crabs with shell sizes above and below 145 mm
conclusion:
If the p-value is less than your chosen significance level (e.g., 0.05), you can conclude that there is a significant difference in molt status between the two groups.
If the t-test shows a significant difference and supports the claim that the majority of female Dungeness Crabs with shell sizes above 145 mm did not molt, it would provide statistical evidence to support the recommendation of imposing a minimum shell size limit for fishing regulations.