Hi.
Whether the sample mean is the best estimate of the population mean depends on the true underlying distribution (which could well be the normal; that's really a theoretical matter more than anything else). See
this explanation for example.
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Rick Marcantonio
Quality Assurance
IBM
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Original Message:
Sent: Mon November 28, 2022 12:25 PM
From: Clifton Hamilton
Subject: Calculated Mean and a Test of Normality
Hi Rick,Please confirm or adjust my understanding of the following:
When calculating the mean of a descriptive statistic such as age along with a normality test, the reported mean is both the mean of the sample group and our best estimate of the population mean (CIs provided).
Thanks in advance.
Cliff
#SPSSStatistics