Question 1 The fasting blood-glucose levels were measured for 40-year-old men and women. Independent random samples of men and women were obtained, and the summary statistics and known variances are given in the table below. Group Sample Size Sample Mean (mg/dL} Population Variance Men n1= 35 il=120 0? =15 Women n: = 42 :E'g = 129 03 = 18 Is there any evidence to suggest that the fasting blood-glucose levels for 40-year-old men are less than the fasting blood-glucose levels for 40-year-old women? Use a = 0.05 and assume that each underlying distribution of lasting blood-glucose levels is normal. Answer the question by providing: 1. The null and alternative hypothesis. [0.5 marks] 2. Calculate the test statistic. [1 mark] 3. In one sentence, do you reject or accept the null hypothesis and state the reason. [0.5 marks]