Question 5 Consider a sample of size 22 with a sample mean of 1.3 and a sample variance of 0.5, and a sample of size 24 with a sample mean of 1.6 and a sample variance of 0.3. Assuming that they are normally distributed, independent random samples, construct the appropriate hypothesis test and use the summary statistics to test if population means are equal (2 marks). (use a = 0.05)