Child Psychologist Interested In Age Difference I

Child Psychologist Was Interested In The Difference In Age In Yea

A child psychologist conducted a study to investigate whether there is a difference in the age at which boys and girls learn to ride a two-wheeled bicycle. The psychologist calculated a 99% confidence interval for the difference in age between boys and girls to be (-0.58, 0.71) years.

The confidence interval includes zero, which indicates that the data does not provide sufficient evidence to conclude a significant difference in the average age at which boys and girls learn to ride a bicycle. Specifically, the interval suggests that the true difference in age could be as much as 0.71 years in favor of girls or as much as 0.58 years in favor of boys. Since zero falls within this range, it implies that there is no statistically significant difference between the two groups at the 99% confidence level.

Therefore, based on the confidence interval, the psychologist cannot conclude that there is a difference in the average age at which boys and girls learn to ride a bicycle. The data suggests that, on average, boys and girls learn to ride at approximately the same age, though the true difference could be slightly in either direction. The lack of statistical significance at the 99% confidence level indicates that any observed difference in the sample may be due to random variation rather than a real difference in the population.

Conclusion

In conclusion, the confidence interval spanning from -0.58 to 0.71 reliably indicates that there is no statistically significant difference in the mean age of learning to ride a bicycle between boys and girls at a 99% confidence level. This supports the hypothesis that the ages are similar on average for both genders, and any variation observed in the sample does not demonstrate a meaningful difference in the general population.

References

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