The hand calculated value is 95% CI (35.68, 44.18) while the value from the SPSS output is 95% CI (35.49, 44.38). The two values have slight differences at approximately 0.2. The difference is likely caused by approximations when making the hand calculations.
Three pierce of information were used to hand calculate the confidence interval. They included the z value, standard error and mean. Practicing Application of Descriptive Statistics in Excel and SPSS
References
Li, J., Thompson, T., Richards, T. & Steele, B. (2016). Racial and ethnic differences in health behaviors and preventive health services among prostate cancer survivors in the United States. Preventing Chronic Disease: Public Health Research, Practice, and Policy, 13, 160148. DOI: 10.5888/pcd13.160148
Pandey, K., Yang, F., Cagney, K., Smieliauskas, F., Meltzer, D. & Ruhnke, G. (2019). The impact of marital status on health care utilization among Medicare beneficiaries. Medicine, 98(12), e14871. DOI: 10.1097/MD.0000000000014871 Practicing Application of Descriptive Statistics in Excel and SPSS
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