Question

Evaluate the formula t=
x−μ
s
n when μ=117​, n=28​, x=113​, and

Answer 1

Answer: -1.924

Work Shown:

`t = \frac{\overline{x}-\mu}{(s)/(√(n))}\\\\t = (113-117)/((11)/(√(28)))\\\\t \approx (-4)/((11)/(5.291503))\\\\t \approx (-4)/(2.078804)\\\\t \approx -1.924183\\\\t \approx -1.924\\\\`

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).