The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).
Given that;
Number of residents, n = 7
Z*- value of 90% confidence level equals z* = 0.79
Mean x = 1.7 and deviation σ = 0.36
What is the standard deviation?
Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.
Now,
Number of residents, n = 7
Z*- value of 90% confidence level equals z* = 0.79
Mean x = 1.7 and deviation σ = 0.36
The confidence interval for mean waste recycled per person is
[tex](x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )[/tex]
[tex](1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })[/tex]
[tex](1.592, 1.807)[/tex]
Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).
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