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# (Solved): The lower bound of the confidence interval is calculated using the expression $$\bar{x}-2, \frac{d ... The lower bound of the confidence interval is calculated using the expression \( \bar{x}-2, \frac{d}{\sqrt{n}}$$. 5 ubstitute the values $$\bar{x}=37, z$$ an $$=1.645, d=5$$, and $$n=60$$ into this formula and simplify, founding the final value to two decimal places. $x-7 \times \frac{\pi}{\sqrt{n}}=37-\left(\frac{5}{\sqrt{60}}\right)$ The upper bound is found in a simiar fashion, but now we will add the margin of error instead of subtracting a. Again, round the final value to two decimai piaces. $x+2+2 \frac{a}{\sqrt{n}}=37+\left(\frac{5}{\sqrt{60}}\right)$ Thus, a $$90 \%$$ confidence interval for the poputation mean in a sample of 60 items with a sample mean of 37 and a population standard deviation of 5 is

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