1) a) A university report on the key methods of transport was collected in 2021. Of the 400 students who participated in this report, 208 students stated that they took the tram to the university as their main form of transportation. Determine the sample proportion of students who took the tram.

b) Since we cannot be 100% confident about how close the population proportion, ? is to the sample proportion, p?, we create an interval estimate which is thought to include ? with a certain percentage of confidence

Construct a 90% confidence interval for the population proportion of students who take the tram to university.

c) Provide a practical interpretation of the interval you have constructed in b) in the context of this question. 2)

i) Excel was used to investigate the relationship between weekly sales (in $millions) of a store and the store's weekly opening hours (see output below).

a) Comment on the direction of the relationship between the two variables.

b) With specific reference to an appropriate regression statistic, comment on how well the regression equation fits the sample data.

c) State the predicted effect on the weekly sales of the store being open one extra hour per week.

Scatterplot of rent against distance 1400 1200 1000 800 Rent ($/wk) 600 400 200 0 O 10 20 30 40 distance from CBD (km)SUMMARY OUTPUT Regression Statistics Multiple R 0.962 R Square 0.926 Adjusted R Square 0.919 Standard Error 0.097 Observations 12 Standard Lower Upper Coefficients Error t Stat P-value 95% 95% Intercept 0.074 0.090 0.822 0.430 -0.126 0.273 Hours 0.015 0.001 11.20 0.000 0.012 0.018