I would like to know if the sex of a math student is astatistically significant factor in predicting average math examscores. The following lists are exam scores for a math exam,separated by sex.
male 89 33 104 48 90 80 98 32 98 55 75 74 73 90 105 47 48 67 99103 63
female 99 80 81 88 94 83 70 42 78 75
Perform a hypothesis test to determine whether the sex of a mathstudent is statistically significant for performance on math tests.In other words, is there a statistically significant differencebetween the scores of these two groups of students?
(a) State the null and alternative hypotheses. Also, state themeaning of your parameters.
(b) Perform the test. Use ? = .05. Show your work. Clearlyindicate the value of the test statistic. Be sure to mention thevalue of df if it is relevant. Also, make sure you clearly stateyour final answer to the question above.
(c) Compute an appropriate 95% confidence interval that wouldconfirm your final answer from part (b). Explain why it confirmsthat answer.
