When the size of the sample in a study increases:
A. The standard error approaches the standard deviation.
B. The magnitude of the error decreases.
C. Accuracy of prediction increases.
D. The sample mean moves away from the population mean
E. Generalization from the sample becomes more dependable.
Choose the correct answer from the options given below:

Correct option is D

When the size of the sample in a study increases, the magnitude of the error decreases, accuracy of prediction increases, and generalization from the sample becomes more dependable. Larger sample sizes reduce the standard error, leading to more reliable and generalizable results.
Information Booster:
1. Standard Error: The standard deviation of the sampling distribution of a statistic. It decreases as sample size increases.
2. Magnitude of Error: Refers to the variability or uncertainty in the estimation of a parameter, which decreases with larger sample sizes.
3. Accuracy of Prediction: Improved with larger samples as they provide more information about the population.
4. Generalization: Larger samples are more representative of the population, making it easier to generalize findings.
5. Sample Mean: Moves closer to the population mean as sample size increases, due to the law of large numbers.
6. Dependability: Larger samples enhance the reliability and validity of research findings.
Additional Information:
· Standard Error: Inversely related to sample size; larger samples yield smaller standard errors.
· Error Magnitude: Reduced in larger samples, leading to more precise estimates.
· Prediction Accuracy: Enhanced with larger samples, reducing the margin of error.
· Generalization: More dependable as larger samples better represent the diversity of the population.
Key Points:
· Increasing sample size improves the accuracy and reliability of statistical estimates.
· Larger samples provide better generalization to the population.
· Understanding the impact of sample size helps in designing robust and dependable research studies.