Study the information provided below and answer the following questions.

Recently, brokers from the twenty brokerage firms participated in an online employee engagement training program aimed

at enhancing their client interaction skills. Drawing on insights from Salas, Tannenbaum, Kraiger, and Smith$-$Jentsch$$s

$(2012)$ research on effective training programmes, the modules were designed not only to impart theoretical knowledge but

also to integrate active learning techniques and practical simulations. These methods are well$-$documented for their

effectiveness in facilitating skill transfer and inducing behavioural changes among participants. Given the critical importance

of client interaction skills in brokerage firms, the training modules prioritised practical exercises simulating real client

scenarios. This approach aimed to develop not just technical competencies but also interpersonal skills essential for

effective client relationship management $($Brown & Sitzmann, $2015).$

The effectiveness of the training programme was evaluated by measuring average employee engagement skills and

customer satisfaction index $($CSI$)$ before and one month after its completion. Both metrics were assessed on an interval

scale $(\%).$ Relevant data is accessible, and Table $4\mathrm{.}1$ provides a summary excerpt of this data.

Table $4\mathrm{.}1$: Excerpt of employee engagement scores and customer satisfaction index at the brokerage firms.

REQUIRED:

$4\mathrm{.}1$ Formulate the null and alternative hypotheses for the proposed study.

$4\mathrm{.}2$ By interrogating how the data collection methodology was conceived, and the nature of the research data

collected in the study as depicted in Table $4\mathrm{.}1,$ specify the research design employed in the study

$4\mathrm{.}3$ Assuming that parametric assumptions were met, identify two statistical tests appropriate for testing the

hypothesis formulated in $4\mathrm{.}1,$ and discuss the expected outcomes associated with employing these statistical

tests.

$4\mathrm{.}4$ Assuming that parametric assumptions were violated, identify two statistical tests appropriate for testing the

hypothesis formulated in $4\mathrm{.}1,$ and discuss the expected outcomes associated with employing these statistical

tests.