Question

I have a Statistics question???

Answer 1

`\begin{gathered} \mu=4276 \\ \sigma=500 \\ N=32 \\ \text{For 95\%} \\ The\text{ interval is }\mu\pm2\sigma \\ \text{Hence} \\ 4276\pm2(500) \\ 4276+2(500)=5276 \\ 4276-2(500)=3276 \\ \text{The interval is (3276, 5276)} \\ \text{For 99\%} \\ The\text{ interval is }\mu\pm3\sigma \\ \text{Hence} \\ \text{ }4276\pm3(500) \\ 4276-3(500)=2776 \\ 4276+3(500)=5776 \\ \text{The interval is (2776, 5776)} \\ \text{For 90\%} \\ The\text{ interval is }\mu\pm1.5\sigma \\ \text{Hence} \\ \text{ }4276\pm1.5(500) \\ 4276-1.5(500)=3526 \\ 4276+1.5(500)=5026 \\ \text{The interval is (3526,5026)} \end{gathered}`