4. (a) An indicator of the value of a stock relative to its earnings is its price-earnings ratio. The following table provides the summary statistics of the price-earnings ratios for a random sample of 24 stocks, 8 each from the healthcare, financials and real estate sectors. Sector Sample mean Sample variance Sample size Healthcare 32.65 1.23 Financials 30.01 3.61 Real estate 29.24 1.27 You are also given that: 1 = 22,657.84. Test at the 5% significance level whether the true mean price-earnings ratios for the three market sectors are the same. Use the ANOVA table format to summarise your calculations. You may exclude the p-value. (10 marks)