A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 28 randomly selected boys is 153 with a standard deviation of 32 and the mean score for 24 randomly selected girls is 149 with a standard deviation of 30. At =0.01, can you reject the teacher's claim? Assume the populations are normally distributed and the variance are not equal. For credit, your work must include a filled out standardized test statistic formula.