Answer:
The solution to these question can be defined as follows:
Step-by-step explanation:
[tex]H_0: \mu = 33 \ versus\\\\ H_a: \mu > 33\\\\\bar{X} = 33.11\\\\S = 4.7468\\\\n = 47\\\\df = n - 1 = 46\\\\\alpha = 0.05\\\\[/tex]
Testing statistic:
[tex]t = \frac{(\bar{X} - \mu)}{[\frac{S}{\sqrt{(n)}}]}[/tex]
[tex]= \frac{(33.11 – 33)}{\frac{4.7468}{\sqrt{47}}}\\\\= \frac{0.11}{0.6924}\\\\= 0.1589\\\\P-value = 0.4372\\\\P-value > \alpha = 0.05[/tex]
Therefore the null hypothesis we do not deny, it is not clear enough so that the median age once British men get engaged is higher than in 2013.