Perform aTwo Sample Hypothesis Test for Means. Make sure to report on and label the following steps in your work:

1. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
3. Find the critical value(s) and identify the rejection region(s).
4. Find the appropriate standardized test statistic. If convenient, use technology.
5. Decide whether to reject or fail to reject the null hypothesis.
6. Interpret the decision in the context of the original claim.

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 63 randomly selected boys is 150 with a standard deviation of 36, and the mean score for 65 randomly selected girls is 149 with a standard deviation of 34. At = 0.10, can you reject the teacher's claim? Assume the populations are normally distributed and the population variances are equal.

Resource: Two Samples, Means, sigma known