Answer to Question #261471 in Statistics and Probability for Joyce

Question #261471

We heard that there was a 90% confidence interval for the population mean from 22.5 to 2am 8.3, determine the point estimate of the population and the margin of error associated with the information.


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Expert's answer
2021-11-08T02:54:46-0500
Confidence interval widthConfidence\ interval\ width

=2×margin of error=2\times margin\ of\ error

margin of error=28.322.52=2.9margin\ of\ error=\dfrac{28.3-22.5}{2}=2.9

xˉ=22.5+2.9=25.4\bar{x}=22.5+2.9=25.4

The sample mean xˉ=25.4\bar{x}=25.4 is a point estimate of the population mean.

The margin of error is 2.9.2.9.


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