Question 4 Statistics Variety Variety A B Variety Mean 168.00 175.82 Variety A Variety B Variance 45.12 64.25 n (sample size) 14 15 150 160 170 180 190 Ear weight (g) Figure 2. The ear weight of corn for Table 1. The summary statistics of ear variety A and variety B. weight of corn sampled from 14 plants of variety A, and 15 plants of variety B. Based on Figure 2 and Table 1 above, it is shown that mean corn ear weight of variety A are smaller than variety B. Using the mean and variance given in Table 1 above, answer the following questions. a) What is the suitable statistical test to be used to test the claim that the mean ear weight of variety A is lower than variety B? (2 marks)b) Write the null and alternative hypotheses for the statistical test above. (2 marks) c) What is the critical value (or value from table) that is used in the hypothesis testing? (2 marks)MID-TERM (P]]) d) Calculate the statistics from the data to test the hypothesis. Show your work to receive full mark. (6 marks) e) Draw a distribution for the hypothesis test and label the statistics calculated from the data, critical value and rejection region (alpha=0.05). (4 marks) f) What is the conclusion from the test