What is the smallest level of significance at which we could reject H₀ ? = 10 in favour of H_a: ? > 10 if $\bar { X }$
= 11,s = 2,and n = 36? Assume the population is normally distributed.

Question

What is the smallest level of significance at which we could reject H₀ ? = 10 in favour of H_a: ? > 10 if

\bar { X }

= 11,s = 2,and n = 36? Assume the population is normally distributed.

Quizplus · Accepted Answer

The test statistic is:$$z = \frac{\bar{X} - \mu_0}{s/\sqrt{n}} = \frac{11 - 10}{2/\sqrt{36}} = 3$$The p-value is:$$p = P(Z > 3) = 0.0013$$Therefore, the smallest level of significance at which we could reject H0 is 0.001.

What Is the Smallest Level of Significance at Which We Xˉ\bar { X }Xˉ

What Is the Smallest Level of Significance at Which We $\bar { X }$