Suppose a test has been given to all high school students in a certain state. the mean test score for the entire state is 70, with standard deviation equal to 10. members of the school board suspect that female students have a higher mean score on the test than male students, because the mean score from a random sample of 64 female students is equal to 73. does this provide strong evidence that the overall mean for female students is higher? the alternative hypothesis for this study is