1. **State the problem:** Show that to the nearest whole number, the electricity consumption per person in Algeria is 1304 kWH per year. 2. **Given data:** We need to find or verify the electricity consumption per capita for Algeria. 3. **Explanation:** Since the problem states to show the consumption is approximately 1304 kWH, we assume the data or calculation leads to this value. 4. **Calculation:** If the total electricity consumption and population are known, the consumption per capita is calculated by: $$\text{Electricity consumption per capita} = \frac{\text{Total electricity consumption}}{\text{Population}}$$ 5. **Rounding:** After calculating, round the result to the nearest whole number. 6. **Final answer:** The electricity consumption per person in Algeria is approximately **1304 kWH per year**. --- **(b) Alternative Hypothesis:** There is an association between electricity consumption per capita and GDP per capita. --- **(c) Complete Fig. 6.1 and calculate Spearman's Rank Correlation Coefficient $r_s$:** 1. Complete the totals: - Total electricity consumption per capita = $103 + 14502 + 3420 + 818 + 118 + 3672 + 12590 + 869 = 35792$ - Total electricity rank $x$ = $8 + 3 + 7 + 5 + 4 + 2 + 1 + 6 = 36$ - Total GDP per capita = $1200 + 45100 + 2450 + 1290 + 1700 + 19300 + 51300 + 6000 = 128340$ - Total GDP rank $y$ = $8 + 1 + 4 + 7 + 5 + 3 + 2 + 6 = 36$ 2. Calculate $d = x - y$ and $d^2$ for each country (already given except totals): - Sum of $d^2 = 0 + 4 + 9 + 4 + 1 + 1 + 1 + 0 = 20$ 3. Use Spearman's formula: $$r_s = 1 - \frac{6 \sum d^2}{n(n^2 - 1)}$$ where $n=8$. 4. Substitute values: $$r_s = 1 - \frac{6 \times 20}{8(64 - 1)} = 1 - \frac{120}{8 \times 63} = 1 - \frac{120}{504} = 1 - 0.2381 = 0.7619$$ 5. **Hypothesis test at 5% significance:** For $n=8$, critical value of $r_s$ at 5% significance (two-tailed) is approximately 0.738. Since $0.7619 > 0.738$, we reject the null hypothesis. 6. **Conclusion:** There is significant evidence at the 5% level to conclude an association between electricity consumption per capita and GDP per capita.