(Solved): The output voltage of a power supply is assumed to be normally distributed. Sixteen observations t ...

The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at random on voltage are as follows: 10.35, 9.30, $$10.00,9.96,11.65,12.00,11.25,9.58,11.54,9.95$$, $$10.28,8.37,10.44,9.25,9.38$$, and $$10.85$$. (a) Test the hypothesis that the mean voltage equals $$12\mathrm{V}$$ against a two-sided alternative using $$?=0.05$$. (b) Construct a $$95\%$$ two-sided confidence interval on $$?$$. (c) Test the hypothesis that $${?}^2=9$$ using $$?=0.05$$. (d) Construct a $$95\%$$ two-sided confidence interval on $$?$$. (e) Construct a $$95\%$$ upper confidence interval on $$?$$.