The standard error of the mean for a sample of 64 is 28. In order to cut the standard error of the mean by 50%, what should the sample size be? Type your numerical answer here. Numbers only An upcoming business is considering investing in one of two popular stocks, dividend or growth stocks. The business is uncertain about the percentage returns but believes that modeling the uncertainty using the normal probability distribution is appropriate. The means and standard deviations for the returns (%) based on a recent study are given below. Stock Mean Standard Deviation Dividend 9.85 2.25 Growth 9.95 2.45 The business is hoping to make an investment that is more likely to produce a return of at least 10.5%. What is the probability of a potentially profitable investment? Type your numerical answer here. Numbers only