1. To study the performance of stock trading in Hong Kong in 2020, 51 stocks have been selected randomly and their one-year performance (in %) as given in the following grouped frequency distribution table. Perfomance in Frequency -43.7 to less than -16.5 15 -16.5 to less than 10.6 23 10.6 to less than 37.8 6 37.8 to less than 65.0 65.0 to less than 92.2 92.2 to less than 119.0 119.0 to less than 147.0 147.0 to less than 174.0 2 4 1 v + OON 2. Find the sample mean, sample mode and sample median. Calculate Pearson's coeficient of skewness and comment on the skewness of the perfomance of stock in 2020. [6 marks] b. Would you agree that the performance of stock trading in Hong Kong is nomally distributed? Back up your opinion by a Chi-squares goodness-of-fit test at 0.05 level of significance. [3 marks] c. A sample of 40 stock trading in New York has been randomly selected within the same year. It is noted that 8 stocks are observed to have a negative one-year perfomance. Construct a 99% confidence interval for the difference of proportion with a negative one- year perfomance in the two markets. Would you agree with the claim that the population proportions in the two markets are equal? [6 marks] 1. To study the performance of stock trading in Hong Kong in 2020, 51 stocks have been selected randomly and their one-year performance (in %) as given in the following grouped frequency distribution table. Perfomance in Frequency -43.7 to less than -16.5 15 -16.5 to less than 10.6 23 10.6 to less than 37.8 6 37.8 to less than 65.0 65.0 to less than 92.2 92.2 to less than 119.0 119.0 to less than 147.0 147.0 to less than 174.0 2 4 1 v + OON 2. Find the sample mean, sample mode and sample median. Calculate Pearson's coeficient of skewness and comment on the skewness of the perfomance of stock in 2020. [6 marks] b. Would you agree that the performance of stock trading in Hong Kong is nomally distributed? Back up your opinion by a Chi-squares goodness-of-fit test at 0.05 level of significance. [3 marks] c. A sample of 40 stock trading in New York has been randomly selected within the same year. It is noted that 8 stocks are observed to have a negative one-year perfomance. Construct a 99% confidence interval for the difference of proportion with a negative one- year perfomance in the two markets. Would you agree with the claim that the population proportions in the two markets are equal? [6 marks]