Consider the following hypothesis: H_0: μ=35 H_1: μ ≠ 35 A sample of 81 items is taken whose mean is 37.5 and the standard deviation is 5. Test the…

Consider the following hypothesis : $\displaystyle \mathrm{H}_0: \mu=35$ $\displaystyle \mathrm{H}_1: \mu \neq 35$ A sample of $\displaystyle 81$ items is taken whose mean is $\displaystyle 37.5$ and the standard deviation is 5. Test the hypothesis at $\displaystyle 5$% level of significance. [Given : Critical value of Z for a two-tailed test at $\displaystyle 5$% level of significance is $\displaystyle 1.96$]