Calculate by hand a 95% confidence interval for \”Age\” based on the sample mean. Use SPSS to verify your answer. Include your calculations and screenshots of the SPSS output.

 

The sample has a mean age of 39.93 and standard error of 2.17. 95% confidence interval encompasses 95% of the area of the normal distribution, which is 1.96 standard deviations of the mean (value). The confidence interval values are calculated as: Practicing Application of Descriptive Statistics in Excel and SPSS

Margin of error = z value * standard error = 1.96 * 2.17 = 4.25

Lower limit = 39.93 – 4.25 = 39.93 – 4.25 = 35.68

Upper limit = 39.93 + 4.25 = 39.93 + 4.25 = 44.18

95% CI (35.68, 44.18)

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