Study the scenario and complete the question$($s$)$ that follow$($s$)$:

Screen Time and Productivity Study

A health and productivity study was conducted on employees from various IT

companies to analyse screen time usage and its potential impact on employee

well$-$being and productivity. A random sample of $50$ employees was selected, and

their daily screen time $($measured in hours$)$ was recorded over a one$-$month period.

The goal of the study was to gather data on screen time usage and identify any

patterns or correlations that could indicate potential health risks, such as eye strain,

headaches, or reduced productivity. The findings could be used to develop targeted

interventions and wellness programs to promote healthier screen habits among

employees.

a$.$ Draw a histogram from the data in the table above.

$(4$ Marks$)$

b$.$ Describe the shape of the histogram.

$(1$ Mark$)$

c$.$ Use a $t$ distribution to construct a $95\%$ confidence interval for the average

screen time for the employees.