You are carrying out a test of significance based on the test scores on a personality test of femininity scores of 148 male general manages of three-star and four-star hotels. You now realize that a confidence interval for the mean score of male hotel managers would be more informative than a test. You would be satisfied to estimate the mean to be within + and - 0.2 with 99% confidence level. The standard deviation of the scores is probably close to the value 0.78 for the adult male population. How large an SRS of hotel managers do you need?