Answer:
The 95% confidence interval for the population mean is
(79.2996, 81.9004)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the sample size 'n' = 168</em>
<em>Let 'X' be a Random variable in a normal distribution </em>
<em>Given that mean of the sample x⁻ = 80.60</em>
Given that the standard deviation of the Population = 8.60
<u><em>Step(ii):-</em></u>
<em>The 95% confidence interval for the population mean is determined by</em>
<em> </em><em></em>
<em></em><em></em>
(80.60 -1.3004 , 80.60+1.3004)
(79.2996 , 81.9004)
<u><em>Final answer:-</em></u>
<em>The 95% confidence interval for the population mean is</em>
<em>(79.2996, 81.9004)</em>