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Respond to one of your colleague’s posts and explain how you might see the implications differently.





  1. Take a random sample of 100.
  2. Calculate the 95% confidence interval for the variable.
  3. Calculate a 90% confidence interval.
  4. Take another random sample of 400.
  5. Calculate the 95% confidence interval for the variable.
  6. Calculate a 90% confidence interval.

The quantitative variable chosen was the number of children.

Posterior Distribution Characterization for One-Sample Mean


N

Posterior

95% Credible Interval

Mode

Mean

Variance

Lower Bound

Upper Bound

NUMBER OF CHILDREN

2530

1.82

1.82

.001

1.76

1.88

Prior on Variance: Diffuse. Prior on Mean: Diffuse.

Posterior Distribution Characterization for One-Sample Mean


N

Posterior

90% Credible Interval

Mode

Mean

Variance

Lower Bound

Upper Bound

NUMBER OF CHILDREN

2530

1.82

1.82

.001

1.77

1.87

Prior 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.

References

Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society(8th

ed.). 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.

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