SECTION 5.2 Exercises For Exercises 5.36 and 5.37, see page 338; for Exercise 5.38, see page 339; for Exercise 5.39, see page 340; and for Exercise 5.40, see page 342. 5.41 What is wrong? Explain what is wrong in each of the following scenarios. (a) If the standard deviation of a population is 10, then the variance of the mean for an SRS of 20 observations from this population will be 10/20. (b) When taking SRS's from a population, larger sample sizes will have larger standard deviations, (c) The mean of a sampling distribution changes when the sample size changes.