Respond to one of your colleague’s posts and explain how y

Respond to one of your colleague’s posts and explain how you might see the implications differently.Take a random sample of 100. Calculate the 95% confidence interval for the variable. Calculate a 90% confidence interval. Take another random sample of 400. Calculate the 95% confidence interval for the variable. Calculate a 90% confidence interval. The quantitative variable chosen was the number of children.Posterior Distribution Characterization for One-Sample MeanNPosterior95% Credible IntervalModeMeanVarianceLower BoundUpper BoundNUMBER OF CHILDREN25301.821.82.0011.761.88Prior on Variance: Diffuse. Prior on Mean: Diffuse.Posterior Distribution Characterization for One-Sample MeanNPosterior90% Credible IntervalModeMeanVarianceLower BoundUpper BoundNUMBER OF CHILDREN25301.821.82.0011.771.87Prior on Variance: Diffuse. Prior on Mean: Diffuse.For some reason I’m not sure if this was done correctly. The confidence interval is larger if the sample gets larger. Confidence intervals may be underutilized because the need to be sure of a sample is not as important for the researcher. Confidence intervals add credibility to a sample and causes it to be easily understood. ReferencesFrankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society(8thed.). Thousand Oaks, CA: Sage Publications.Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications.